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Lattices, automorphic forms, and moduli spaces

Research Project

Project/Area Number 22224001
Research Category

Grant-in-Aid for Scientific Research (S)

Allocation TypeSingle-year Grants
Research Field Algebra
Research InstitutionNagoya University

Principal Investigator

KONDO Shigeyuki  名古屋大学, 多元数理科学研究科, 教授 (50186847)

Co-Investigator(Kenkyū-buntansha) EGUCHI Toru  立教大学, 理学研究科, 教授 (20151970)
ITO Yukari  名古屋大学, 大学院多元数理科学研究科, 准教授 (70285089)
IYAMA Osamu  名古屋大学, 大学院多元数理科学研究科, 教授 (70347532)
MA Shohei  東京工業大学, 理学研究科, 准教授 (80633255)
KANNO Hiroaki  名古屋大学, 大学院多元数理科学研究科, 教授 (90211870)
NAGAO Kentaro  (元)名古屋大学, 大学院多元数理科学研究科, 助教 (10585574)
Co-Investigator(Renkei-kenkyūsha) MUKAI Shigeru  京都大学, 数理解析研究所, 教授 (80115641)
SHIMADA Ichiro  広島大学, 理学研究科, 教授 (10235616)
OGISO Keiji  大阪大学, 理学研究科, 教授 (40224133)
YOSHIKAWA Kenichi  京都大学, 理学研究科, 教授 (20242810)
MIYAMOTO Masahiko  筑波大学, 理学研究科, 教授 (30125356)
Project Period (FY) 2010-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥76,180,000 (Direct Cost: ¥58,600,000、Indirect Cost: ¥17,580,000)
Fiscal Year 2014: ¥15,730,000 (Direct Cost: ¥12,100,000、Indirect Cost: ¥3,630,000)
Fiscal Year 2013: ¥15,470,000 (Direct Cost: ¥11,900,000、Indirect Cost: ¥3,570,000)
Fiscal Year 2012: ¥16,120,000 (Direct Cost: ¥12,400,000、Indirect Cost: ¥3,720,000)
Fiscal Year 2011: ¥15,080,000 (Direct Cost: ¥11,600,000、Indirect Cost: ¥3,480,000)
Fiscal Year 2010: ¥13,780,000 (Direct Cost: ¥10,600,000、Indirect Cost: ¥3,180,000)
Keywords格子 / 保型形式 / モジュライ / K3 曲面 / エンリケス曲面 / マシュームーンシャイン / 自己同型 / マシュー群 / マシュー・ムーンシャイン / 数学 / 代数幾何学 / K3曲面 / 格子理論 / 代数学 / モジュライ空間 / 代数 / 代数幾何 / K3曲面 / Calabi-Yau多様体
Outline of Final Research Achievements

The main problem of algebraic geometry is to study structures and symmetries of algebraic varieties and their moduli spaces. A K3 surface is a 2-dimensional analogue of an elliptic curve, which was found in the 19th century. Now K3 surfaces are interesting to Mathematics and theoretical Physics. In this research project we have obtained several results of the structure of moduli spaces of K3 surfaces and automorphisms of K3 surfaces. On the other hand, there is a mysterious connection, called Mathieu moonshine, between symmetries of K3 surfaces and the Mathieu group, a sporadic finite simple group. We have some results concerning this phenomenon.

Assessment Rating
Verification Result (Rating)

A

Assessment Rating
Result (Rating)

A: Progress in the research is steadily towards the initial goal. Expected research results are expected.

Report

(9 results)
  • 2015 Research Progress Assessment (Verification Result) ( PDF )
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Annual Research Report   Abstract(Research Progress Assessment) ( PDF )   Research Progress Assessment (Result) ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (175 results)

All 2015 2014 2013 2012 2011 2010 Other

All Journal Article (58 results) (of which Peer Reviewed: 58 results,  Acknowledgement Compliant: 13 results,  Open Access: 3 results) Presentation (114 results) (of which Invited: 76 results) Remarks (3 results)

  • [Journal Article] Frobenius categories, Gorenstein algebras and rational surface singularities2015

    • Author(s)
      Martin Kalck, Osamu Iyama, Michael Wemyss, Dong Yang
    • Journal Title

      Compos. Math.

      Volume: 151 Issue: 3 Pages: 502-534

    • DOI

      10.1112/s0010437x14007647

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Non-commutative resolutions and Grothendieck groups2015

    • Author(s)
      Hailong Dao, Osamu Iyama, Ryo Takahashi, Charles Vial
    • Journal Title

      J. Noncommut. Geom.

      Volume: 9 Issue: 1 Pages: 21-34

    • DOI

      10.4171/jncg/186

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Stable categories of Cohen-Macaulay modules and cluster categories2015

    • Author(s)
      Claire Amiot, Osamu Iyama, Idun Reiten
    • Journal Title

      Amer. J. Math.

      Volume: 137

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Rationality of the moduli spaces of 2-elementary K3 surfaces2015

    • Author(s)
      Shouhei Ma
    • Journal Title

      Journal of Algebraic Geometry

      Volume: 24 Issue: 1 Pages: 81-158

    • DOI

      10.1090/s1056-3911-2014-00622-6

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] The automorphism group of a supersingular K3 surface with Artin invariant 1 in charcteristic 32014

    • Author(s)
      Shigeyuki Kondo, Ichiro Shimada
    • Journal Title

      International Mathematics Research Notices

      Volume: 2014 Issue: 7 Pages: 1885-1924

    • DOI

      10.1093/imrn/rns274

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] On a certain duality of Neron-Severi lattices of supersingular K3 surfaces2014

    • Author(s)
      Shigeyuki Kondo, Ichiro Shimada
    • Journal Title

      Algebraic Geometry

      Volume: 1 Pages: 311-333

    • DOI

      10.14231/ag-2014-016

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] On the supersingular K3 surface in characteristic 5 with Artin invariant 12014

    • Author(s)
      Toshiyuki Katsura, Shigeyuki Kondo, Ichiro Shimada
    • Journal Title

      Michigan Mathematical Journal

      Volume: 63 Pages: 803-844

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Lattice gauge theory and the large N reduction2014

    • Author(s)
      Tohru Eguchi
    • Journal Title

      Int.J.Mod.Phys.A

      Volume: 29 Issue: 15 Pages: 1430036-1430036

    • DOI

      10.1142/s0217751x14300361

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Compact formulas for the completed Mock modular forms2014

    • Author(s)
      Tohru Eguchi and Yuji Sugawara
    • Journal Title

      JHEP

      Volume: 1411 Pages: 156-156

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Singular Derived Categories of Q-factorial terminalizations and Maximal Modification Algebras2014

    • Author(s)
      Osamu Iyama, Michael Wemyss
    • Journal Title

      Adv. Math.

      Volume: 261 Pages: 85-121

    • DOI

      10.1016/j.aim.2014.04.001

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Introduction to $\tau$-tilting theory2014

    • Author(s)
      Osamu Iyama, Idun Reiten
    • Journal Title

      Proc. Natl. Acad. Sci. USA

      Volume: 111 Issue: 27 Pages: 9704-9711

    • DOI

      10.1073/pnas.1313075111

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Maximal modifications and Auslander-Reiten duality for non-isolated singularities2014

    • Author(s)
      Osamu Iyama, Michael Wemyss
    • Journal Title

      Invent. Math.

      Volume: 197 Issue: 3 Pages: 521-586

    • DOI

      10.1007/s00222-013-0491-y

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Intermediate co-t-structures, two-term silting objects, tau-tilting modules, and torsion classes2014

    • Author(s)
      Osamu Iyama, Peter Jorgensen, Dong Yang
    • Journal Title

      Algebra Number Theory

      Volume: 8 Issue: 10 Pages: 2413-2431

    • DOI

      10.2140/ant.2014.8.2413

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Rationality of some tetragonal loci2014

    • Author(s)
      Shouhei Ma
    • Journal Title

      Algebraic Geometry

      Volume: 1 Pages: 271-289

    • DOI

      10.14231/ag-2014-014

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] tau-tilting theory2014

    • Author(s)
      T. Adachi, O. Iyama, I. Reiten
    • Journal Title

      Compos. Math.

      Volume: 150 Issue: 3 Pages: 415-452

    • DOI

      10.1112/s0010437x13007422

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] n-representation infinite algebras2014

    • Author(s)
      M. Herschend, O. Iyama, S. Oppermann
    • Journal Title

      Adv. Math.

      Volume: 252 Pages: 292-342

    • DOI

      10.1016/j.aim.2013.09.023

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dimensions of triangulated categories with respect to subcategories2014

    • Author(s)
      T. Aihara, T. Araya, O. Iyama, R. Takahashi, M. Yoshiwaki
    • Journal Title

      J. Algebra

      Volume: 399 Pages: 205-219

    • DOI

      10.1016/j.jalgebra.2013.09.035

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hyper-Kähler metrics from monopole walls2014

    • Author(s)
      Masashi Hamanaka, Hiroaki Kanno, Daichi Muranaka
    • Journal Title

      Physical Review D

      Volume: 89 Issue: 6 Pages: 65033-65033

    • DOI

      10.1103/physrevd.89.065033

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The rationality of the moduli spaces of Coble surfaces and of nodal Enriques surfaces2013

    • Author(s)
      Igor Dolgachev, Shigeyuki Kondo
    • Journal Title

      Izv. Mat.

      Volume: 77 Issue: 3 Pages: 77-92

    • DOI

      10.1070/im2013v077n03abeh002646

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Segre cubic and Borcherds products2013

    • Author(s)
      Shigeyuki Kondo
    • Journal Title

      Fields Institute Communications

      Volume: 67 Pages: 549-565

    • DOI

      10.1007/978-1-4614-6403-7_22

    • ISBN
      9781461464020, 9781461464037
    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] K3 and Enriques surfaces2013

    • Author(s)
      Shigeyuki Kondo
    • Journal Title

      Fields Institute Communications

      Volume: 67 Pages: 3-28

    • DOI

      10.1007/978-1-4614-6403-7_1

    • ISBN
      9781461464020, 9781461464037
    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Enriques Moonshine2013

    • Author(s)
      Tohru Eguchi and Kazuhiro Hikami
    • Journal Title

      J. Phys. A

      Volume: 46 Issue: 31 Pages: 312001-312001

    • DOI

      10.1088/1751-8113/46/31/312001

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On G/N-Hilb of N-Hilb,2013

    • Author(s)
      Akira Ishii, Yukari Ito and Alvaro Nolla de Celis
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: 53 Issue: 1 Pages: 91-130

    • DOI

      10.1215/21562261-1966080

    • Related Report
      2013 Annual Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Noncommutative Bondal-Orlov Conjecture2013

    • Author(s)
      O. Iyama, M. Wemyss
    • Journal Title

      J. Reine Angew. Math.

      Volume: 683 Issue: 683 Pages: 119-128

    • DOI

      10.1515/crelle-2012-0001

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tilting and cluster tilting for quotient singularities,2013

    • Author(s)
      O. Iyama, R. Takahashi
    • Journal Title

      Math. Ann.

      Volume: 356 Issue: 3 Pages: 1065-1105

    • DOI

      10.1007/s00208-012-0842-9

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stable categories of higher preprojective algebras2013

    • Author(s)
      O. Iyama, S. Oppermann
    • Journal Title

      Adv. Math.

      Volume: 244 Pages: 23-68

    • DOI

      10.1016/j.aim.2013.03.013

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The rationality of the moduli spaces of trigonal curves of odd genus2013

    • Author(s)
      S. Ma
    • Journal Title

      Journal fur die reine und angewandte Mathematik

      Volume: 683 Issue: 683 Pages: 181-187

    • DOI

      10.1515/crelle-2012-0003

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Rationality of fields of invariants for some representations of SL(2)×SL(2)2013

    • Author(s)
      S. Ma
    • Journal Title

      Compositio Mathematica

      Volume: 149 Issue: 7 Pages: 1225-1234

    • DOI

      10.1112/s0010437x13007069

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On K3 surfaces which dominate Kummer surfaces2013

    • Author(s)
      S. Ma
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 141 Pages: 131-137

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The moduli space of Hessian quartic surfaces and automorphic form2012

    • Author(s)
      S. Kondo
    • Journal Title

      Journal of Pure and Applied Algebra

      Volume: 216 Issue: 10 Pages: 2233-2240

    • DOI

      10.1016/j.jpaa.2012.02.001

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A note on a supersingular K3 surface in characteristic 22012

    • Author(s)
      Toshiyuki Katsura, Shigeyuki Kondo
    • Journal Title

      Geometry and Arithmetic”(G. van der Geer 教授60歳記念号), Series of Congress Reports, European Math. Soc.

      Volume: 2012 Pages: 243-255

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] N=2 moonshine2012

    • Author(s)
      T. Eguchi, K. Hikami
    • Journal Title

      Phys.Lett. B

      Volume: 717 Issue: 1-3 Pages: 266-273

    • DOI

      10.1016/j.physletb.2012.09.037

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Twisted Elliptic Genus and Borcherds Product2012

    • Author(s)
      T. Eguchi, K. Hikami
    • Journal Title

      Lett. Math. Phys.

      Volume: 102 Issue: 2 Pages: 203-222

    • DOI

      10.1007/s11005-012-0569-2

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generalized Whittaker states for instanton counting with fundamental hypermultiplets2012

    • Author(s)
      H. Kanno , M. Taki
    • Journal Title

      JHEP

      Volume: 1205 Issue: 5 Pages: 52-52

    • DOI

      10.1007/jhep05(2012)052

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Localization with a Surface Operator, Irregular Conformal Blocks and Open Topological String2012

    • Author(s)
      H. Awata, H. Fuji, H. Kanno, M. Manabe and Y. Yamada
    • Journal Title

      Adv. Theor. Math. Phys.

      Volume: 16 Pages: 725-804

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Derived categories of small toric Calabi-Yau 3-folds and counting invariants2012

    • Author(s)
      K. Nagao
    • Journal Title

      The Quarterly Journal of Mathematics

      Volume: 63 Issue: 4 Pages: 965-1007

    • DOI

      10.1093/qmath/har025

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex2012

    • Author(s)
      A. Morrison, S. Mozgovoy, K. Nagao, B. Szendroi
    • Journal Title

      Advances in Mathematics

      Volume: 230 Issue: 4-6 Pages: 2048-2064

    • DOI

      10.1016/j.aim.2012.04.020

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The unirationality of the moduli spaces of 2-elementary K3 surface2012

    • Author(s)
      S. Ma
    • Journal Title

      Proceedings of the London Mathematical Society

      Volume: 105 Issue: 4 Pages: 757-786

    • DOI

      10.1112/plms/pds008

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A note on a Supersingular K3 surface in characteristic 2, " Geometry and Arithmetic"2012

    • Author(s)
      T.Katsura and S.Kondo
    • Journal Title

      European Mathematical Society (C. Faber, G. Farkas, R.de Jong, eds.)

      Volume: 352 Issue: 1 Pages: 243-255

    • DOI

      10.1016/j.jalgebra.2011.10.047

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Preprojective algebras and c-sortable words2012

    • Author(s)
      C.Amiot, O.Iyama, I.Reiten, G.Todorov
    • Journal Title

      Proc.Lond.Math.Soc.

      Volume: 104(掲載確定) Issue: 3 Pages: 513-539

    • DOI

      10.1112/plms/pdr020

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex2012

    • Author(s)
      Andrew Morrison, Sergey Mozgovoy, Kentaro Nagao, Balazs Szendroi
    • Journal Title

      Advances in Mathematics

      Volume: 230(掲載確定) Issue: 4-6 Pages: 2065-2093

    • DOI

      10.1016/j.aim.2012.03.030

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hutchinson-Weber involutions degenerate exactly when the Jacobian2012

    • Author(s)
      H.Ohashi
    • Journal Title

      Publ.RIMS

      Volume: 48(掲載確定) Issue: 1 Pages: 107-127

    • DOI

      10.2977/prims/63

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 2-Auslander algebras associated with reduced words in Coxeter groups2011

    • Author(s)
      O.Iyama, I.Reiten
    • Journal Title

      Int.Math.Res.Not.IMRN

      Volume: 8 Pages: 1782-1803

    • DOI

      10.1093/imrn/rnq101

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] n-representation-finite algebras and twisted fractionally Calabi-Yau algebras2011

    • Author(s)
      M.Herschend, O.Iyama
    • Journal Title

      Bull.Lond.Math.Soc.

      Volume: 43 Issue: 3 Pages: 449-466

    • DOI

      10.1112/blms/bdq101

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mutation of cluster-tilting objects and potentials2011

    • Author(s)
      A.Buan, O.Iyama, I.Reiten, D.Smith
    • Journal Title

      Amer.J.Math.

      Volume: 133 Issue: 4 Pages: 835-887

    • DOI

      10.1353/ajm.2011.0031

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] n-representation-finite algebras and n-APR tilting2011

    • Author(s)
      O.Iyama, S.Oppermann
    • Journal Title

      Trans.Amer.Math.Soc.

      Volume: 363 Issue: 12 Pages: 6575-6614

    • DOI

      10.1090/s0002-9947-2011-05312-2

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Selfinjective quivers with potential and 2-representation-finite algebras2011

    • Author(s)
      M.Herschend, O.Iyama
    • Journal Title

      Compos.Math.

      Volume: 147 Issue: 6 Pages: 1885-1920

    • DOI

      10.1112/s0010437x11005367

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Recollement of homotopy categories and Cohen-Macaulay modules2011

    • Author(s)
      O.Iyama, K.Kato, J.Miyachi
    • Journal Title

      J.K-Theory

      Volume: 8 Issue: 3 Pages: 507-542

    • DOI

      10.1017/is011003007jkt143

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Macdonald operators and homological invariants of the colored Hopf Link2011

    • Author(s)
      H.Awata, H.Kanno
    • Journal Title

      J.Phys.A : Math.Theor.

      Volume: 44(掲載確定) Issue: 37 Pages: 375201-375201

    • DOI

      10.1088/1751-8113/44/37/375201

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Instanton counting with a surface operator and the chain-saw quiver2011

    • Author(s)
      H.Kanno, Y.Tachikawa
    • Journal Title

      Journal of High Energy Physics

      Volume: 6(掲載確定) Issue: 6 Pages: 119-119

    • DOI

      10.1007/jhep06(2011)119

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Counting invariant of perverse coherent sheaves and its wall-corssing2011

    • Author(s)
      K.Nagao, H.Nakajima
    • Journal Title

      Int.Math.Res.Notices

      Volume: 7(掲載確定) Pages: 3885-3938

    • DOI

      10.1093/imrn/rnq195

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Refinde open noncommutative Donaldson-Thomas invariants for small crepant resolution2011

    • Author(s)
      K.Nagao
    • Journal Title

      Pacific Journal of Mathematics

      Volume: 254(掲載確定) Issue: 1 Pages: 173-209

    • DOI

      10.2140/pjm.2011.254.173

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Non-commutative Donaldson-Thomas invariants and vetex operators2011

    • Author(s)
      K.Nagao
    • Journal Title

      Geometry & Topology

      Volume: 15(掲載確定) Issue: 3 Pages: 1509-1543

    • DOI

      10.2140/gt.2011.15.1509

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The moduli of curves of genus six and K3 surfaces2011

    • Author(s)
      M.Artebani, S.Kondo
    • Journal Title

      Trans. American Mathematical Society

      Volume: 363 Pages: 1445-1462

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Cluster tilting for higher Auslander algebras2011

    • Author(s)
      O.Iyama
    • Journal Title

      Adv. Math.

      Volume: 226 Pages: 1-61

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Moduli of plane quartics, Gopel invariants and Borcherds products2010

    • Author(s)
      S.Kondo
    • Journal Title

      International Mathematics Research Notices 2010

      Volume: doi:10.1093/imrn/rnq190

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The classification of special Cohen-Macaulay modules2010

    • Author(s)
      O.Iyama, M.Wemyss
    • Journal Title

      Math. Z.

      Volume: 265 Pages: 41-83

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Counting Invariant of Perverse Coherent Sheaves and its Wall-crossing2010

    • Author(s)
      K.Nagao, H.Nakajima
    • Journal Title

      International Mathematics Research Notices 2010

      Volume: doi:10.1093/imrn/rnq195

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] Higher preprojective algebrars and Cohen-Macaulay representations2015

    • Author(s)
      Osamu Iyama
    • Organizer
      Algebra and Geometry seminar
    • Place of Presentation
      Uppsala University, Sweden
    • Year and Date
      2015-03-24
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] K3 surface and Mathieu moonshine2015

    • Author(s)
      Tohru Eguchi
    • Organizer
      Moduli space, conformal field theory and matrix model
    • Place of Presentation
      沖縄 OIST
    • Year and Date
      2015-03-18
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Higher representation-finite algebras2015

    • Author(s)
      Osamu Iyama
    • Organizer
      Higher seminars in the subject Mathematics/Applied Mathematics
    • Place of Presentation
      Mälardalens högskola, Västerås, Sweden
    • Year and Date
      2015-03-18
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] On the Kodaira dimension of certain orthogonal modular varieties2015

    • Author(s)
      馬昭平
    • Organizer
      代数幾何ミニ研究集会
    • Place of Presentation
      埼玉大学
    • Year and Date
      2015-03-10
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Silting reduction and Calabi-Yau reduction of triangulated categories2015

    • Author(s)
      Osamu Iyama
    • Organizer
      Homological bonds between Commutative Algebra and Representation Theory
    • Place of Presentation
      CRM, Barcelona, Spain
    • Year and Date
      2015-02-19
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Tilting theory and Cohen-Macaulay representations(4回連続講演)2015

    • Author(s)
      Osamu Iyama
    • Organizer
      (Re)emerging methods in Commutative Algebra and Representation Theory​,
    • Place of Presentation
      CRM, Barcelona, Spain
    • Year and Date
      2015-02-09 – 2015-02-13
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Calabi-Yau reduction of cluster categories2015

    • Author(s)
      Osamu Iyama
    • Organizer
      Workshop Rikkyo MathPhys 2015
    • Place of Presentation
      Rikkyo University, Japan
    • Year and Date
      2015-01-11
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Orlov’s theorem and Geigle-Lenzing complete intersections2014

    • Author(s)
      Osamu Iyama
    • Organizer
      Workshop on Homological Interactions between Representation Theory and Singularity Theory
    • Place of Presentation
      Edinburgh, Scotland, U.K.
    • Year and Date
      2014-12-16
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] K3 surface and Mathieu moonshine2014

    • Author(s)
      Tohru Eguchi
    • Organizer
      岡潔シンポジウム
    • Place of Presentation
      奈良女子大
    • Year and Date
      2014-12-08
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Preprojective algebras and Cohen-Macaulay representations2014

    • Author(s)
      Osamu Iyama
    • Organizer
      36th symposium on Commutative Algebra
    • Place of Presentation
      International Productivity Center, Kanagawa, Japan
    • Year and Date
      2014-11-22
    • Related Report
      2014 Annual Research Report
  • [Presentation] On the Kodaira dimension of certain orthogonal modular varieties2014

    • Author(s)
      馬昭平
    • Organizer
      K3, Enriques surfaces and related topics
    • Place of Presentation
      名古屋大学
    • Year and Date
      2014-11-14
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Higher Auslander correspondence and d-Cohen-Macaulay finiteness2014

    • Author(s)
      Osamu Iyama
    • Organizer
      Maurice Auslander Memorial Workshop
    • Place of Presentation
      University Bielefeld, Germany
    • Year and Date
      2014-11-13
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Enriques surfaces in characteristic 2 covered by the supersingular K3 surface with Artin invariant 12014

    • Author(s)
      Shigeyuki Kondo
    • Organizer
      K3, Enriques surfaces and related topics
    • Place of Presentation
      名古屋大学
    • Year and Date
      2014-11-10
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] tau-tilting theory I, II2014

    • Author(s)
      Osamu Iyama
    • Organizer
      Cluster algebras and Representation theory
    • Place of Presentation
      KIAS, Seoul, Korea
    • Year and Date
      2014-11-03
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Cohen-Macaulay representations of Geigle-Lenzing complete intersections2014

    • Author(s)
      Osamu Iyama
    • Organizer
      可換環論と表現論
    • Place of Presentation
      岡山大学
    • Year and Date
      2014-10-13
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] IV型モジュラー多様体の小平次元2014

    • Author(s)
      馬昭平
    • Organizer
      代数曲面ワークショップ
    • Place of Presentation
      首都大学東京秋葉原キャンパス
    • Year and Date
      2014-10-11
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Open problems on quivers and resolutions of singularities2014

    • Author(s)
      Yukari Ito
    • Organizer
      Workshop McKay correspondence, orbifolds, quivers
    • Place of Presentation
      ウォーリック大学 (イキリス)
    • Year and Date
      2014-09-18
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Silting reduction of triangulated categories2014

    • Author(s)
      Osamu Iyama
    • Organizer
      47th symposium on Ring Theory and Representation Theory
    • Place of Presentation
      Osaka City University, Japan
    • Year and Date
      2014-09-13
    • Related Report
      2014 Annual Research Report
  • [Presentation] Igusa quartic and Borcherds products.2014

    • Author(s)
      Shigeyuki Kondo
    • Organizer
      第2回K3曲面・エンリケス曲面ワークショップ
    • Place of Presentation
      旭川
    • Year and Date
      2014-08-31
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] A certain duality of Neron-Severi lattices of supersingular K3 surfaces2014

    • Author(s)
      Shigeyuki Kondo
    • Organizer
      第2回K3曲面・エンリケス曲面ワークショップ
    • Place of Presentation
      旭川
    • Year and Date
      2014-08-31
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Cohen-Macaulay representations of Geigle-Lenzing complete intersections2014

    • Author(s)
      Osamu Iyama
    • Organizer
      XVI International Conference on Representations of Algebras (ICRA 2014)
    • Place of Presentation
      Sanya, Hainan Province, China
    • Year and Date
      2014-08-29
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] テトラゴナル曲線のモジュライの有理性2014

    • Author(s)
      馬昭平
    • Organizer
      リーマン面に関連する位相幾何
    • Place of Presentation
      東京大学
    • Year and Date
      2014-08-26
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Igusa quartic and Borcherds products2014

    • Author(s)
      Shigeyuki Kondo
    • Organizer
      Seoul ICM 2014 Satellite Conference on Algebraic and Complex Geometry
    • Place of Presentation
      Daejeon, Korea
    • Year and Date
      2014-08-07
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Cohen-Macaulay representations of Geigle-Lenzing complete intersections2014

    • Author(s)
      Osamu Iyama
    • Organizer
      Commutative Algebra and Singularity Theory 2014
    • Place of Presentation
      Tateyama Kokusai Hotel, Japan
    • Year and Date
      2014-07-30
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Igusa quartic and Borcherds products2014

    • Author(s)
      Shigeyuki Kondo
    • Organizer
      Algebras, Groups and Geometries 2014
    • Place of Presentation
      University of Tokyo
    • Year and Date
      2014-06-26
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Cohen-Macaulay representations of Geigle-Lenzing complete intersections2014

    • Author(s)
      Osamu Iyama
    • Organizer
      Advances in Representation Theory of Algebras (ARTA)
    • Place of Presentation
      Universite du Quebec a Montreal, Quebec, Canada
    • Year and Date
      2014-06-19
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Cohen-Macaulay representations of Geigle-Lenzing complete intersections2014

    • Author(s)
      Osamu Iyama
    • Organizer
      Colloquium in honour of the 75th birthday of Helmut Lenzing
    • Place of Presentation
      Bielefeld University, Germany
    • Year and Date
      2014-05-16
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Mathieu moonshine and superconformal algebra2014

    • Author(s)
      Tohru Eguchi
    • Organizer
      Symposium on string theory
    • Place of Presentation
      Tsinghua University, Taiwan
    • Year and Date
      2014-05-15
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Puzzles and challenges in string theory2014

    • Author(s)
      Tohru Eguchi
    • Organizer
      Colloquim of Physics Department
    • Place of Presentation
      Tsinghua University, Taiwan
    • Year and Date
      2014-05-14
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] A certain duality of Neron-Severi lattices of supersingular K3 surfaces2014

    • Author(s)
      Shigeyuki Kondo
    • Organizer
      K3 surfaces and their moduli
    • Place of Presentation
      Schiermonnikoog, Netherlands
    • Year and Date
      2014-05-05
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] The automorphism groups of some K3 surfaces and the Leech lattice2014

    • Author(s)
      金銅誠之
    • Organizer
      Moduli spaces and self-maps
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Mathieu moonshine and Superconformal algebra2014

    • Author(s)
      江口 徹
    • Organizer
      Peter Goddard Symposium
    • Place of Presentation
      IPMU, 東京大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] マシュームーンシャインと超共形代数2014

    • Author(s)
      江口 徹
    • Organizer
      Superstring Theory and VOA
    • Place of Presentation
      立教大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Mathieu moonshine and Superconformal algebra2014

    • Author(s)
      江口 徹
    • Organizer
      Arithmetic and Algebraic Geometry 2014
    • Place of Presentation
      東京大学数理科学研究科
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Towards non-commutative Reid's recipe2014

    • Author(s)
      伊藤由佳理
    • Organizer
      Nagoya-Warwick workshop on Geometry of orbifolds, McKay correspondence and representation theory
    • Place of Presentation
      イギリス・ウォーリック大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Silting reduction and Calabi-Yau reduction2014

    • Author(s)
      Osamu Iyama
    • Organizer
      Cluster Algebras and Combinatorics
    • Place of Presentation
      University of Muenster, Germany
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] On higher representation infinite algebras2014

    • Author(s)
      Osamu Iyama
    • Organizer
      Representation Theory of Quivers and Finite Dimensional Algebras
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach, Germany
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Tilting theory revisited2014

    • Author(s)
      Osamu Iyama
    • Organizer
      Geometry, Physics and Representation Theory
    • Place of Presentation
      名古屋大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Finiteness of orthogonal modular varieties of non-general type2014

    • Author(s)
      馬昭平
    • Organizer
      モジュライ空間と自己射
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Finiteness of orthogonal modular varieties of non-general type2014

    • Author(s)
      馬昭平
    • Organizer
      Moduli spaces of irreducible symplectic varieties, cubics and Enriques surfaces
    • Place of Presentation
      Laboratoire Painleve, Lille
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] On certain duality of Neron-Severi lattices of supersingular K3 surfaces2013

    • Author(s)
      金銅誠之
    • Organizer
      Classification of Algebraic Varieties and related topics
    • Place of Presentation
      Cetraro, Italy
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] On certain duality of Neron-Severi lattices of supersingular K3 surfaces2013

    • Author(s)
      金銅誠之
    • Organizer
      The 6th Pacific RIM Conference on Mathematics 2013
    • Place of Presentation
      札幌
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] K3 曲面のモジュライと保型形式2013

    • Author(s)
      金銅誠之
    • Organizer
      数理学談話会
    • Place of Presentation
      金沢大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 超弦理論の進展2013

    • Author(s)
      江口 徹
    • Organizer
      基礎物理学研究所60周年記念シンポジウム
    • Place of Presentation
      京都大学基礎物理学研究所
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Mathieu moonshine and K3 Surface2013

    • Author(s)
      江口 徹
    • Organizer
      Mock Modular forms, Moonshine, and String Theory
    • Place of Presentation
      Simons center for Geometry and Physics, New York
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Crepant resolution via quiver representation and G-Hilbert schemes2013

    • Author(s)
      伊藤由佳理
    • Organizer
      European Women in Mathematics 16th General Meeting
    • Place of Presentation
      ドイツ、ボン大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] The world of quotient singularities (poster)2013

    • Author(s)
      伊藤由佳理
    • Organizer
      European Women in Mathematics 16th General Meeting
    • Place of Presentation
      ドイツ、ボン大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] Geigle-Lenzing spaces, d-canonical algebras and d-representation infinite algebras2013

    • Author(s)
      Osamu Iyama
    • Organizer
      Noncommutative Algebraic Geometry and Representation Theory seminar
    • Place of Presentation
      Mathematical Sciences Research Institute, USA.
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Auslander-Reiten theory, Preprojective algebras, Cohen-Macaulay representation theory and n-representation-finiteness, n-representation infinite algebras2013

    • Author(s)
      Osamu Iyama
    • Organizer
      Workshop on Higher Dimensional Auslander-Reiten Theory
    • Place of Presentation
      IPM-Isfahan Branch, Isfahan, Iran
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Geigle-Lenzing spaces and canonical algebras in dimension d2013

    • Author(s)
      Osamu Iyama
    • Organizer
      Triangulated Categories in Representation Theory of Algebras (PRIMA 2013)
    • Place of Presentation
      Shanghai Jiao Tong University Shanghai, China
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Geigle-Lenzing spaces and canonical algebras in dimension d2013

    • Author(s)
      Osamu Iyama
    • Organizer
      Noncommutative Algebraic Geometry and Related Topics
    • Place of Presentation
      RIMS, Kyoto
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Geigle-Lenzing spaces and canonical algebras in dimension d2013

    • Author(s)
      Osamu Iyama
    • Organizer
      Advances in Representation Theory of Algebras
    • Place of Presentation
      Nicolaus Copernicus University, Torun, Poland
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Geigle-Lenzing spaces and canonical algebras in dimension d2013

    • Author(s)
      Osamu Iyama
    • Organizer
      第46回環論および表現論シンポジューム
    • Place of Presentation
      東京理科大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Geigle-Lenzing weighted projective spaces2013

    • Author(s)
      Osamu Iyama
    • Organizer
      第35回可換環論シンポジウム
    • Place of Presentation
      数理解析研究所
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Mutation and g-vectors in $\tau$-tilting theory2013

    • Author(s)
      Osamu Iyama
    • Organizer
      Cluster Algebras and Related Topics
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach, Germany
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Superconformal index with surface operator and Macdonald polynomial2013

    • Author(s)
      菅野浩明
    • Organizer
      Synthesis of integrabilities in the context of gauge/string duality
    • Place of Presentation
      Math. Department of Higher School of Economics, Russia
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Irregular puncture and generalized Whittaker state2013

    • Author(s)
      菅野浩明
    • Organizer
      代数幾何学と可積分系におけるモジュライ理論
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Irregular puncture and generalized Whittaker state2013

    • Author(s)
      菅野浩明
    • Organizer
      International conference on mathematical research, education and application
    • Place of Presentation
      the University of Economics and Law, Ho Chi Minh City, Vietnam
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Finiteness of stable orthogonal modular varieties of non-general type2013

    • Author(s)
      馬昭平
    • Organizer
      代数幾何セミナー
    • Place of Presentation
      名古屋大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] IV型モジュラー多様体の双有理型2013

    • Author(s)
      馬昭平
    • Organizer
      代数幾何セミナー
    • Place of Presentation
      名古屋大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Irregular states and isolated superconformal field theory2013

    • Author(s)
      菅野浩明
    • Organizer
      学振2国間交流事業日露共同研究 miniworkshop
    • Place of Presentation
      大阪科学技術センター
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] K3曲面の幾何とLeech格子2012

    • Author(s)
      S.Kondo
    • Organizer
      日本数学会年会特別講演
    • Place of Presentation
      東京理科大学
    • Year and Date
      2012-03-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] tau-tilting theory2012

    • Author(s)
      O.Iyama
    • Organizer
      Cluster categories and cluster tiltin
    • Place of Presentation
      ノルウェー理工科大学
    • Year and Date
      2012-03-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] Instanton partition function and generalized Whittaker states2012

    • Author(s)
      H.Kanno
    • Organizer
      学振2国間交流事業日露共同研究workshop
    • Place of Presentation
      大阪市立大学文化交流センター
    • Year and Date
      2012-03-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] Pseudo-tilting theory2012

    • Author(s)
      O.Iyama
    • Organizer
      Representation Theory of Chevalley Groups and Related Topics
    • Place of Presentation
      名古屋大学
    • Year and Date
      2012-03-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] Log del Pezzo surfaces of index three with multiple smooth divisors2012

    • Author(s)
      H.Ohashi
    • Organizer
      第9回アフィン代数幾何学研究集会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-02
    • Related Report
      2011 Annual Research Report
  • [Presentation] The rationality of the moduli spaces of Coble surfaces and of nodal Enriques surfaces2012

    • Author(s)
      S.Kondo
    • Organizer
      Arithmetic and Algebraic Geometry 2012
    • Place of Presentation
      Univ.of Tokyo
    • Year and Date
      2012-02-18
    • Related Report
      2011 Annual Research Report
  • [Presentation] n-hereditary algebras2012

    • Author(s)
      伊山修
    • Organizer
      Tilting and cluster tilting for Cohen-Macaulay modules, XV Workshop and International Conference on Representations of Algebras
    • Place of Presentation
      Bielefeld大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Auslander-Reiten theory and cluster tilting for Cohen-Macaulay modules2012

    • Author(s)
      伊山修
    • Organizer
      Commutative Algebra and its Interactions with Algebraic Geometry, Representation Theory, and Physics
    • Place of Presentation
      Centro de Investigacion en Matematicas
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Superconformal algebra and moonshine phenomenon2012

    • Author(s)
      江口徹
    • Organizer
      Conference on "Geometry and Physics"
    • Place of Presentation
      Munchen
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Superconformal algebra and Mathieu group2012

    • Author(s)
      江口徹
    • Organizer
      Conference on "Algebraic geometry, modular forms and applications to physics
    • Place of Presentation
      Edinburgh
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Irregular puncture and isolated N=2 superconformal field theories2012

    • Author(s)
      菅野浩明
    • Organizer
      Synthesis of integrabilities in the context of gauge/string duality
    • Place of Presentation
      Math. Department of Higher School of Economics, Moscow, Russia
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] On automorphism groups of Enriques surfaces2011

    • Author(s)
      H.Ohashi
    • Organizer
      城崎代数幾何学シンポジウム
    • Place of Presentation
      城崎大会議場
    • Year and Date
      2011-10-26
    • Related Report
      2011 Annual Research Report
  • [Presentation] Refined topological vertex and matrix counting2011

    • Author(s)
      K.Nagao
    • Organizer
      組合せ論的表現論の拡がり
    • Place of Presentation
      RIMS
    • Year and Date
      2011-10-13
    • Related Report
      2011 Annual Research Report
  • [Presentation] The moduli spaces of hessian quartic surfaces, Enriques surfaces, and automorphic forms2011

    • Author(s)
      S.Kondo
    • Organizer
      Automorphic forms and Moduli spaces
    • Place of Presentation
      CIRM, Luminy, France
    • Year and Date
      2011-10-10
    • Related Report
      2011 Annual Research Report
  • [Presentation] n-representation infinite algebras2011

    • Author(s)
      O.Iyama
    • Organizer
      Shanghai Conference on Representation Theory of Algebras
    • Place of Presentation
      Shanghai Jiao Tong University
    • Year and Date
      2011-10-03
    • Related Report
      2011 Annual Research Report
  • [Presentation] Tilting and cluster tilting for stable categories of Cohen-Macaulay modules2011

    • Author(s)
      O.Iyama
    • Organizer
      Noncommutative Algebraic Geometry
    • Place of Presentation
      Fudan University
    • Year and Date
      2011-09-16
    • Related Report
      2011 Annual Research Report
  • [Presentation] Maximal subgroups of the Mathieu group M_{23} and symplectic automorphisms of supersingular K3 surfaces2011

    • Author(s)
      S.Kondo
    • Organizer
      代数幾何ワークショップ2011
    • Place of Presentation
      法政大学理工学部
    • Year and Date
      2011-09-08
    • Related Report
      2011 Annual Research Report
  • [Presentation] On automorphism groups of Enriques surfaces2011

    • Author(s)
      H.Ohashi
    • Organizer
      代数幾何ワークショップ2011
    • Place of Presentation
      法政大学
    • Year and Date
      2011-09-08
    • Related Report
      2011 Annual Research Report
  • [Presentation] Motivic Hall algebras2011

    • Author(s)
      K.Nagao
    • Organizer
      Cluster algebras, representation theory, and Poisson geometry
    • Place of Presentation
      BIRS
    • Year and Date
      2011-09-05
    • Related Report
      2011 Annual Research Report
  • [Presentation] Higher dimensional crepant resolutions2011

    • Author(s)
      Y.Ito
    • Organizer
      研究集会「特異点とその広がり」
    • Place of Presentation
      京都大学
    • Year and Date
      2011-08-26
    • Related Report
      2011 Annual Research Report
  • [Presentation] Auslander-Reiten duality for Cohen-Macaulay modules2011

    • Author(s)
      O.Iyama
    • Organizer
      第8回可換環論サマースクール
    • Place of Presentation
      名古屋大学
    • Year and Date
      2011-08-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] On automorphisms of Enriques surfaces2011

    • Author(s)
      H.Ohashi
    • Organizer
      Workshop on Arithmetic and Geometry of K3 surfaces and Calabi-Yau threefolds
    • Place of Presentation
      Fields Institute, University of Toronto
    • Year and Date
      2011-08-19
    • Related Report
      2011 Annual Research Report
  • [Presentation] Instanton partition function and the Whittaker states of W-algebra2011

    • Author(s)
      H.Kanno
    • Organizer
      Summer Institute 2011(超弦理論と宇宙の創成)
    • Place of Presentation
      人材開発センター富士研修所
    • Year and Date
      2011-08-11
    • Related Report
      2011 Annual Research Report
  • [Presentation] Elliptic genus of K3 surface and Mathieu group M242011

    • Author(s)
      T.Eguchi
    • Organizer
      Strings, branes and supergravity
    • Place of Presentation
      Istanbul, Turkey(招待講演)
    • Year and Date
      2011-08-03
    • Related Report
      2011 Annual Research Report
  • [Presentation] Cluster algebras and categorification2011

    • Author(s)
      O.Iyama
    • Organizer
      Infinite Analysis 11
    • Place of Presentation
      University of Tokyo
    • Year and Date
      2011-07-29
    • Related Report
      2011 Annual Research Report
  • [Presentation] Instanton partition function with a surface operator and W algebras2011

    • Author(s)
      H.Kanno
    • Organizer
      4th Workshop on Geometric Methods in Theoretical Physics, "Integrability in topological string and field theory"
    • Place of Presentation
      SISSA, Trieste, Italy
    • Year and Date
      2011-07-08
    • Related Report
      2011 Annual Research Report
  • [Presentation] Elliptic genus of K3 surface and Mathieu group M242011

    • Author(s)
      T.Eguchi
    • Organizer
      Workshop on Mathieu moonshine
    • Place of Presentation
      ETH, Zurich, Switzerland(招待講演)
    • Year and Date
      2011-07-07
    • Related Report
      2011 Annual Research Report
  • [Presentation] K3 surface and Mathieu group M242011

    • Author(s)
      T, Eguchi
    • Organizer
      Three generation of string theory conference at IHES
    • Place of Presentation
      IHES, Paris, France(招待講演)
    • Year and Date
      2011-05-20
    • Related Report
      2011 Annual Research Report
  • [Presentation] Tilting and cluster tilting for stable categories of Cohen-Macaulay modules2011

    • Author(s)
      O.Iyama
    • Organizer
      Workshop on Matrix Factorizations
    • Place of Presentation
      University of Bielefeld
    • Year and Date
      2011-05-07
    • Related Report
      2011 Annual Research Report
  • [Presentation] Motiyic Donaldson-Thomas invariants and wall-crossing2011

    • Author(s)
      K.Nagao
    • Organizer
      Workshop on Derived Categories
    • Place of Presentation
      Newton Institute, Cambridge
    • Year and Date
      2011-04-16
    • Related Report
      2011 Annual Research Report
  • [Presentation] Donaldson-Thomas theory and cluster algebras2011

    • Author(s)
      Kentaro Nagao
    • Organizer
      Representation Theory of Quivers and Finite Dimensional Algebras
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach
    • Year and Date
      2011-02-23
    • Related Report
      2010 Annual Research Report
  • [Presentation] Stable categories of Cohen-Macaulay modules and cluster categories2011

    • Author(s)
      Osamu Iyama
    • Organizer
      Representation Theory of Quivers and Finite Dimensional Algebras
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach
    • Year and Date
      2011-02-22
    • Related Report
      2010 Annual Research Report
  • [Presentation] Finite groups of symplectic automorphisms of K3 surfaces and the Mathieu group M_{23}2011

    • Author(s)
      Shigeyuki Kondo
    • Organizer
      The elliptic genus of K3 surfaces and the Mathieu group M_{24}
    • Place of Presentation
      Nagoya University
    • Year and Date
      2011-02-14
    • Related Report
      2010 Annual Research Report
  • [Presentation] The moduli of hessian quartics of cubic surfaces and automorphic forms2011

    • Author(s)
      Shigeyuki Kondo
    • Organizer
      Arithmetic and Algebraic Geometry 2011
    • Place of Presentation
      Univ. of Tokyo
    • Year and Date
      2011-01-18
    • Related Report
      2010 Annual Research Report
  • [Presentation] K3 and Enriques surfaces2011

    • Author(s)
      S.Kondo
    • Organizer
      Workshop on Arithmetic and Geometry of K3 surfaces and Calabi-Yau threefolds
    • Place of Presentation
      Fields Institute, Toronto, Canada
    • Related Report
      2011 Annual Research Report
  • [Presentation] Instanton counting and the Whittaker states of the W-algebra2011

    • Author(s)
      H.Kanno
    • Organizer
      Synthesis of integrabilities in the context of gauge/string duality
    • Place of Presentation
      Math.Department of Higher School of Economics and Steklov Mathematical Institute, Moscow, Russia
    • Related Report
      2011 Annual Research Report
  • [Presentation] The supersingular K3 surface with Artin invariant 1 in characteristic 2 and the Leech lattice2010

    • Author(s)
      Shigeyuki Kondo
    • Organizer
      Perspectives on Algebraic Geometry
    • Place of Presentation
      Trento, Italy
    • Year and Date
      2010-09-07
    • Related Report
      2010 Annual Research Report
  • [Presentation] Troidal resolution of non-abelian quotient singularities2010

    • Author(s)
      Yukari Ito
    • Organizer
      Geometry and Algebra of Orbifolds and the McKay Correspondence
    • Place of Presentation
      University of Warwick
    • Year and Date
      2010-08-12
    • Related Report
      2010 Annual Research Report
  • [Presentation] The supersingular K3 surface with Artin invariant 1 in characteristic 2 (revisited)2010

    • Author(s)
      Shigeyuki Kondo
    • Organizer
      A workshop on elliptic and K3 surfaces
    • Place of Presentation
      Humboldt University, Berlinl
    • Year and Date
      2010-07-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] Localization, Plane Partitions and Topological Partition Function in Six Dimensions2010

    • Author(s)
      Hiroaki Kanno
    • Organizer
      3rd Workshop on Geometric Methods in Theoretical Physics, "Integrability in topological string and field theory"
    • Place of Presentation
      SISSA, Trieste
    • Year and Date
      2010-07-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] The rationality of the moduli spaces of Coble surfaces and of nodal Enriques surfaces

    • Author(s)
      金銅誠之
    • Organizer
      New Trends in Arithmetic and Geometry of Algebraic Surfaces
    • Place of Presentation
      CIRM Marseille, France
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] The rationality of the moduli spaces of trigonal curves

    • Author(s)
      馬昭平
    • Organizer
      Branched covering, degeneration and related topics
    • Place of Presentation
      首都大学東京
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] K3 surfaces and Leech roots

    • Author(s)
      金銅誠之
    • Organizer
      Conference on Groups, VOA and Related Structures in Honor of Masahiko Miyamoto
    • Place of Presentation
      筑波大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] K3 曲面の幾何と保型形式

    • Author(s)
      金銅誠之
    • Organizer
      大談話会
    • Place of Presentation
      名古屋大学大学院多元数理科学研究科
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] The rationality of the moduli spaces of Coble surfaces and of nodal Enriques surfaces

    • Author(s)
      金銅誠之
    • Organizer
      WCU mini-workshop on classification and construction of algebraic varieties
    • Place of Presentation
      Busan, Korea
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Introduction to the McKay correspondence

    • Author(s)
      伊藤由佳理
    • Organizer
      Conference on Resolution of Singularities and the McKay Correspondence
    • Place of Presentation
      名古屋大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] tau-tilting theory

    • Author(s)
      伊山修
    • Organizer
      Workshop on categorical methods in representation theory
    • Place of Presentation
      ブリス トル大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Cluster tilting for Cohen-Macaulay modules

    • Author(s)
      伊山修
    • Organizer
      Linking representation theory, singularity theory and non-commutative algebraic geometry
    • Place of Presentation
      Banff International Research Station
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Generalized Whittaker states for instanton counting and the confluence of the punctures

    • Author(s)
      菅野浩明
    • Organizer
      5th Workshop on Geometric Methods in Theoretical Physics,"Integrability in topological string and field theory"
    • Place of Presentation
      Einstein at SISSA 2012, Trieste, Italy
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Rationality of the moduli spaces of Eisenstein K3 surfaces

    • Author(s)
      馬昭平
    • Organizer
      Algebraic geometry, modular forms and application to physics
    • Place of Presentation
      エジンバラ
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] The rationality of the moduli spaces of trigonal curves

    • Author(s)
      馬昭平
    • Organizer
      低次元多様体モジュライ空間の幾何学
    • Place of Presentation
      RIMS
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 対合付きK3曲面のモジュライの有理性

    • Author(s)
      馬昭平
    • Organizer
      ホッジ理論と代数幾何
    • Place of Presentation
      東京電機大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Rationality of fields of invariants for some representations of SL(2)×SL(2)

    • Author(s)
      馬昭平
    • Organizer
      高次元双有理幾何の周辺, RIMS 6/13, 2012.
    • Place of Presentation
      RIMS
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Remarks] 研究代表者の web page

    • URL

      http://www.math.nagoya-u.ac.jp/~kondo/

    • Related Report
      2012 Annual Research Report
  • [Remarks]

    • URL

      http://www.math.nagoya-u.ac.jp/~kondo/

    • Related Report
      2011 Annual Research Report
  • [Remarks]

    • URL

      http://www.math.nagoya-u.ac.jp/~kondo/

    • Related Report
      2010 Annual Research Report

URL: 

Published: 2010-08-23   Modified: 2019-07-29  

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