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Non-commutative crepant resolution, Orbifold cohomology and generalization of the McKay correspondence

Research Project

Project/Area Number 23540045
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Algebra
Research InstitutionNagoya University

Principal Investigator

Ito Yukari  名古屋大学, 多元数理科学研究科, 准教授 (70285089)

Co-Investigator(Kenkyū-buntansha) 伊山 修  名古屋大学, 多元数理科学研究科, 教授 (70347532)
長尾 健太郎  名古屋大学, 多元数理科学研究科, 助教 (10585574)
Co-Investigator(Renkei-kenkyūsha) ISHII Akira  広島大学, 大学院理学研究科, 教授 (10252420)
YOSHIDA Ken-ichi  日本大学, 文理学部, 教授 (80240802)
YASUDA Takehiko  大阪大学, 大学院理学研究科, 准教授 (30507166)
Research Collaborator CRAW Alastair  バース大学, 助教授
WEMYSS Michael  グラスゴー大学, 教授
Project Period (FY) 2011-04-28 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords商特異点 / 特異点解消 / マッカイ対応 / 非可換クレパント解消 / クイバーの表現 / トーリック幾何学 / クレパント解消 / 三角圏 / McKay対応 / Cohen-Macaulay表現論 / 傾理論 / Auslander-Reiten理論 / 国際研究者交流(イギリス、スウェーデン、他) / 国際研究者交流(イギリス、アメリカ、ドイツ) / 国際情報交換(イギリス、アメリカ、ドイツ) / 国際研究者交流 / 国際情報交流
Outline of Final Research Achievements

Our main aim is to find crepant resolution for quotient singularity and see the McKay correspondence. We have to check the existence of a crepant resolution by construction of a crepant resolution or existenxe of non-commutative crepant resolution. The later one is relatively new idea.The MaKay correspondence is a relation between crepant resolution and group representation.During this research, we found a way to construct a crepant resolution as a moduli space of corresponding representation. Moreover, we showed a generalized McKay correspondence in dimension three as a generalization of special McKay correspondence by using non-commutative corepant resolutions,

Report

(7 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (175 results)

All 2017 2016 2015 2014 2013 2012 2011 Other

All Int'l Joint Research (3 results) Journal Article (53 results) (of which Int'l Joint Research: 10 results,  Peer Reviewed: 52 results,  Acknowledgement Compliant: 13 results) Presentation (111 results) (of which Int'l Joint Research: 13 results,  Invited: 82 results) Book (8 results)

  • [Int'l Joint Research] University of Bath/University of Sheffield/University of Edinburgh(英国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Nanjing University,(中国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] University of Bonn(ドイツ)

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Silting reduction and Calabi--Yau reduction of triangulated categories2017

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

      Trans. Amer. Math. Soc.

      Volume: 印刷中 Issue: 11 Pages: 7861-7898

    • DOI

      10.1090/tran/7213

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Higher Auslander correspondence for dualizing R-varieties2017

    • Author(s)
      Osamu Iyama, Gustavo Jasso
    • Journal Title

      Algebr. Represent. Theory

      Volume: 印刷中 Issue: 2 Pages: 335-354

    • DOI

      10.1007/s10468-016-9645-0

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Existence of crepant resolutions2017

    • Author(s)
      Toshihiro hayashi, Yukari Ito, Yuhi Sekiya
    • Journal Title

      Advanced Study in Pure Mathematics

      Volume: 74

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Reduction of triangulated categories and maximal modification algebras for cA_n singularities2016

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

      J. Reine Angew. Math.

      Volume: 未定 Issue: 738 Pages: 149-202

    • DOI

      10.1515/crelle-2015-0031

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Lifting preprojective algebras to orders and categorifying partial flag varieties2016

    • Author(s)
      Laurent Demonet, Osamu Iyama
    • Journal Title

      Algebra Number Theory

      Volume: 10 Issue: 7 Pages: 1527-1579

    • DOI

      10.2140/ant.2016.10.1527

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Existence of crepant resolutions,2016

    • Author(s)
      Toshihiro Hayashi, Yukari Ito, Yuhi Sekiya
    • Journal Title

      the proceedings of the conference "Higher Dimensional Algebraic Geometry

      Volume: -

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Reduction of triangulated categories and maximal modification algebras for $cA_n$ singularities2016

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

      J. Reine Angew. Math.

      Volume: -

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Frobenius categories, Gorenstein algebras and rational surface singularities2015

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

      Compos. Math.

      Volume: 151

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Non-commutative resolutions and Grothendieck groups2015

    • Author(s)
      H. Dao, O. Iyama, R. Takahashi, C. Vial
    • Journal Title

      J. Noncommut. Geom.

      Volume: 9

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Stable categories of Cohen-Macaulay modules and cluster categories2015

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

      Amer. J. Math.

      Volume: 137

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Lattice structure of torsion classes for path algebras2015

    • Author(s)
      O. Iyama, I. Reiten, G. Todorov, H. Thomas
    • Journal Title

      Bull. Lond. Math. Soc.

      Volume: 47

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Tilting bundles on orders on $P^d$2015

    • Author(s)
      O. Iyama, B. Lerner
    • Journal Title

      Israel J. Math.

      Volume: 211

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Existence of crepant resolutions2015

    • Author(s)
      Toshihiro Hayashi, Yukari Ito and Yuhi Sekiya
    • Journal Title

      Advanced Study in Mathematics

      Volume: -

    • Related Report
      2014 Research-status 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 Research-status 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 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Reduction of triangulated categories and maximal modification algebras for cA_n singularities2015

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

      J. Reine Angew. Math.

      Volume: -

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Tilting bundles on orders on P^d2015

    • Author(s)
      Osamu Iyama, Boris Lerner
    • Journal Title

      Israel J. Math.

      Volume: -

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Lattice structure of torsion classes for path algebras2015

    • Author(s)
      Osamu Iyama, Idun Reiten, Gordana Todorov, Hugh Thomas
    • Journal Title

      Bull. Lond. Math. Soc.

      Volume: -

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [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
      2014 Research-status Report 2013 Research-status 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
      2014 Research-status Report 2013 Research-status Report
    • Peer Reviewed
  • [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
      2014 Research-status Report 2013 Research-status Report
    • Peer Reviewed
  • [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 Research-status 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 Research-status 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 Research-status Report 2013 Research-status 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 Research-status Report
    • Peer Reviewed
  • [Journal Article] Frobenius categories, Gorenstein algebras and rational surface singularities2014

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

      Compos. Math.

      Volume: 151 Pages: 502-534

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Existence of crepant resolutions2014

    • Author(s)
      Toshihiro Hayashi, Yukari Ito, Yuhi Sekiya
    • Journal Title

      Advanced Study in Pure Mathematics

      Volume: 未定

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Non-commutative resolutions andGrothendieck groups2014

    • Author(s)
      H. Dao, O. Iyama, R. Takahashi, C. Vial
    • Journal Title

      J. Noncommut. Geom.

      Volume: 未定

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Introduction to τ-tilting theory2014

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

      Proc. Natl. Acad. Sci. USA

      Volume: 未定

    • Related Report
      2013 Research-status 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 Research-status 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 Research-status 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 Research-status 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 Research-status Report
    • Peer Reviewed
  • [Journal Article] Periodicities of T and Y-systems, dilogarithm identities, and cluster algebras I: Type B_r,2013

    • Author(s)
      Rei Inoue, Osamu Iyama, Bernhard Keller, Atsuo Kuniba, Tomoki Nakanishi
    • Journal Title

      Publ. Res. Inst. Math. Sci.

      Volume: 49

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Periodicities of T and Y-systems, dilogarithm identities, and cluster algebras II: Type C_r, F_4, and G_22013

    • Author(s)
      Rei Inoue, Osamu Iyama, Bernhard Keller, Atsuo Kuniba, Tomoki Nakanishi
    • Journal Title

      Publ. Res. Inst. Math. Sci.

      Volume: 49

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] On G/N-Hilb of N-Hilb2013

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

      Kyoto Journal of Mathematics

      Volume: 53

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] A New Triangulated Category for Rational Surface Singularities2012

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

      Illinois J. Math.

      Volume: 2011-55

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Silting mutation in triangulated categories,2012

    • Author(s)
      Takuma Aihara, Osamu Iyama
    • Journal Title

      J. Lond. Math. Soc.

      Volume: 85

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Preprojective algebras and c-sortable words2012

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

      Proc. Lond. Math. Soc.

      Volume: 104

    • Related Report
      2012 Research-status 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
      2011 Research-status 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 Research-status 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

    • Related Report
      2011 Research-status 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 Research-status 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 Research-status 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 Research-status 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

    • Related Report
      2011 Research-status 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

    • Related Report
      2011 Research-status 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

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Stable categories of preprojective algebras and cluster categories2011

    • Author(s)
      O. Iyama
    • Journal Title

      Oberwolfach Report

      Volume: 00

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

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

      Trans. Amer. Math. Soc.

      Volume: 363

    • Related Report
      2011 Research-status 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

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

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

      J. K-Theory

      Volume: 8

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Singular Derived Categories of Q-factorial terminalizationsand Maximal Modification Algebras

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

      Adv. Math.

      Volume: 未定

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] Preprojective algebras and Calabi-Yau algebras2017

    • Author(s)
      Osamu Iyama
    • Organizer
      Subfactors, Higher Geometry, Higher twists and Almost Calabi-Yau Algebras
    • Place of Presentation
      Isaac Newton Institute, University of Cambridge, U.K.
    • Year and Date
      2017-03-28
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Quotients of triangulated categories and theorems of Buchweitz, Orlov and Amiot-Guo-Keller2016

    • Author(s)
      Osamu Iyama
    • Organizer
      代数幾何・複素幾何セミナー
    • Place of Presentation
      大阪大学
    • Year and Date
      2016-07-06
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Higher preprojective algebras and Cohen-Macaulay representations2016

    • Author(s)
      Osamu Iyama
    • Organizer
      非可換クレパント解消、ウルリッヒ加群とマッカイ対応の一般化
    • Place of Presentation
      RIMS, 京都大学
    • Year and Date
      2016-06-14
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Introduction to the McKay correspondence2016

    • Author(s)
      Yukari Ito
    • Organizer
      非可換クレパント解消、ウルリッヒ加群とマッカイ対応の一般化
    • Place of Presentation
      RIMS, 京都大学
    • Year and Date
      2016-06-13
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Lattice structure of preprojective algebras and Weyl groups, Algebra Seminar2016

    • Author(s)
      Osamu Iyama
    • Organizer
      Algebra Seminar
    • Place of Presentation
      Norwegian University of Science and Technology, Trondheim, Norway
    • Year and Date
      2016-06-01
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] * Lattice structure of preprojective algebras and Weyl groups2016

    • Author(s)
      Osamu Iyama
    • Organizer
      Conference on Triangulated Categories in Algebra, Geometry and Topology
    • Place of Presentation
      University of Stuttgart, Stuttgart, Germany
    • Year and Date
      2016-03-14
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Quotients of triangulated categories and theorems of Buchweitz, Orlov and Amiot-Guo-Keller2016

    • Author(s)
      Osamu Iyama
    • Organizer
      Cluster Algebras and Geometry
    • Place of Presentation
      University of Muenster, Muenster, Germany
    • Year and Date
      2016-03-12
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Geigle-Lenzing complete intersections(3回講演)2016

    • Author(s)
      Osamu Iyama
    • Organizer
      Workshop on Weighted Projective Spaces and Representation Theory
    • Place of Presentation
      University of Science and Technology of China, Hefei, China
    • Year and Date
      2016-03-05
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 三角圏と傾理論 1. 導入 2. 準傾対象とその変異 3. Cohen-Macaulay表現(3回講演)2016

    • Author(s)
      Osamu Iyama
    • Organizer
      (非)可換代数とトポロジー
    • Place of Presentation
      信州大学
    • Year and Date
      2016-02-20
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] :Reid’s recipe for trihedral singularities2015

    • Author(s)
      Yukari Ito
    • Organizer
      代数幾何学セミナー
    • Place of Presentation
      名古屋大学
    • Year and Date
      2015-12-21
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Lattice structure of preprojective algebras and Weyl groups2015

    • Author(s)
      Osamu Iyama
    • Organizer
      Shanghai Conference on Representation Theory
    • Place of Presentation
      Tian He Hotel, Chongming Island, Shanghai, China
    • Year and Date
      2015-12-08
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] On iterated G-Hilbert scheme2015

    • Author(s)
      Yukari Ito
    • Organizer
      第3回杜の都代数幾何学研究集会
    • Place of Presentation
      福岡大学
    • Year and Date
      2015-11-25
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] 3-dimensional McKay correspondence2015

    • Author(s)
      Yukari Ito
    • Organizer
      代数幾何学セミナー
    • Place of Presentation
      東京大学
    • Year and Date
      2015-11-09
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Tilting theory for Gorenstein rings in dimension one2015

    • Author(s)
      Osamu Iyama
    • Organizer
      Algebra Seminar
    • Place of Presentation
      University of Toronto, Toronto, Canada
    • Year and Date
      2015-11-04
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Tilting theory for Geigle-Lenzing complete intersections2015

    • Author(s)
      Osamu Iyama
    • Organizer
      Preprojective Algebras Interacting with Singularities, Cohen-Macaulay Modules and Weighted projective Spaces
    • Place of Presentation
      Casa Matematica Oaxaca (CMO), Mexico
    • Year and Date
      2015-10-05
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 導来圏とCohen-Macaulay表現論2015

    • Author(s)
      Osamu Iyama
    • Organizer
      第60回代数学シンポジウム
    • Place of Presentation
      静岡大学
    • Year and Date
      2015-08-31
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] On generalized Reid's recipe (ポスター)2015

    • Author(s)
      Yukari Ito
    • Organizer
      AMS Summer Intitute on Algebraic Geometry
    • Place of Presentation
      ユタ大学(米国)
    • Year and Date
      2015-07-16
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Partial preprojective algebras and cDV singularities2015

    • Author(s)
      Osamu Iyama
    • Organizer
      Workshop on Geometric Algebra: bridges between commutative algebra, noncommutative geometry, and representation theory
    • Place of Presentation
      Fields Institute, Toronto, Canada
    • Year and Date
      2015-07-10
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Tilting theory of partial preprojective algebras2015

    • Author(s)
      Osamu Iyama
    • Organizer
      Silting theory and related topics
    • Place of Presentation
      University of Verona, Verona, Italy
    • Year and Date
      2015-07-04
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Tilting Theory and Cohen-Macaulay Representations2015

    • Author(s)
      Osamu Iyama
    • Organizer
      Nagoya-Nanjing Joint Seminar on Algebras and Representation Theory
    • Place of Presentation
      Nanjing University, Nanjing, China
    • Year and Date
      2015-05-09
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Auslander algebras and preprojective algebras, Tilting theory and Cohen-Macaulay representations(2回講演)2015

    • Author(s)
      Osamu Iyama
    • Organizer
      Tilting tMaurice Auslander Distinguished Lectures and International Conference,heory and Cohen-Macaulay representations(2回講演)
    • Place of Presentation
      Woods Hole Oceanographic Institute, USA
    • Year and Date
      2015-05-02
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [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 Research-status Report
    • Invited
  • [Presentation] Tilting theory and Cohen-Macaulay representations2015

    • Author(s)
      Osamu Iyama
    • Organizer
      Algebra seminar
    • Place of Presentation
      Mittag-Leffler Institute, Sweden
    • Year and Date
      2015-03-19
    • Related Report
      2014 Research-status 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 Research-status 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 Research-status 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 Research-status Report
    • Invited
  • [Presentation] Preprojective algebras and Cohen-Macaulay representations2015

    • Author(s)
      Osamu Iyama
    • Organizer
      第27回可換環論セミナー
    • Place of Presentation
      静岡大学
    • Year and Date
      2015-01-25
    • Related Report
      2014 Research-status Report
  • [Presentation] Calabi-Yau reduction of cluster categories2015

    • Author(s)
      Osamu Iyama
    • Organizer
      Workshop Rikkyo MathPhys 2015
    • Place of Presentation
      立教大学
    • Year and Date
      2015-01-11
    • Related Report
      2014 Research-status 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 Research-status Report
    • Invited
  • [Presentation] Silting reduction and Calabi-Yau reduction of triangulated categories2014

    • Author(s)
      Osamu Iyama
    • Organizer
      第5回岡山可換代数表現セミナー
    • Place of Presentation
      岡山大学
    • Year and Date
      2014-12-08
    • Related Report
      2014 Research-status 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 Research-status Report
  • [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 Research-status Report
    • Invited
  • [Presentation] tau-tilting theory I, II(2回講演)2014

    • Author(s)
      Osamu Iyama
    • Organizer
      Cluster algebras and Representation theory
    • Place of Presentation
      Center for Mathematical Challenges (CMC), KIAS, Seoul, Korea
    • Year and Date
      2014-11-03 – 2014-11-05
    • Related Report
      2014 Research-status 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 Research-status Report
    • Invited
  • [Presentation] Open problems on quivers and resolutions of singularities2014

    • Author(s)
      Yukari Ito
    • Organizer
      Workshop “ McKay correspondence, orbifolds, quivers
    • Place of Presentation
      Universityof Warwick, UK
    • Year and Date
      2014-09-18
    • Related Report
      2014 Research-status 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 Research-status Report
  • [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 Research-status 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 Research-status 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 Research-status 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 Research-status Report
    • Invited
  • [Presentation] Cohen-Macaulay representations of Geigle-Lenzing complete intersections2014

    • Author(s)
      Osamu Iyama
    • Organizer
      特異点セミナー
    • Place of Presentation
      日本大学
    • Year and Date
      2014-04-21
    • Related Report
      2014 Research-status Report
  • [Presentation] Auslander-Reiten theory, Preprojective algebras, Cohen-Macaulay representation theory and n-representation-finiteness, n-representation infinite algebras (4回)2013

    • Author(s)
      Osamu Iyama
    • Organizer
      Workshop on Higher Dimensional Auslander-Reiten Theory
    • Place of Presentation
      IPM-Isfahan Branch, Isfahan, Iran
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 3次元双曲幾何とクラスター代数2012

    • Author(s)
      長尾 健太郎
    • Organizer
      集中講義
    • Place of Presentation
      東北大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Auslander-Reiten theory and cluster tilting for Cohen-Macaulay modules2012

    • Author(s)
      伊山 修 (5回)
    • Organizer
      Commutative Algebra and its Interactions with Algebraic Geometry, Representation Theory, and Physics
    • Place of Presentation
      Centro de Investigacion en Matematicas
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 3次元双曲幾何とクラスター代数2012

    • Author(s)
      長尾 健太郎
    • Organizer
      集中講義
    • Place of Presentation
      京都大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] n-hereditary algebras, Tilting and cluster tilting for Cohen-Macaulay modules2012

    • Author(s)
      伊山 修 (4回)
    • Organizer
      XV Workshop and International Conference on Representations of Algeras
    • Place of Presentation
      Bielefeld大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 3次元双曲幾何とクラスター代数2012

    • Author(s)
      長尾 健太郎
    • Organizer
      数理物理サマースクール
    • Place of Presentation
      東京大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Hyperbolic 3-manifolds and cluster algebras2012

    • Author(s)
      Kentaro Nagao
    • Organizer
      第7回代数・解析・幾何学セミナー(招待講演)
    • Place of Presentation
      鹿児島大学
    • Related Report
      2011 Research-status Report
  • [Presentation] 準傾理論入門2012

    • Author(s)
      Osamu Iyama
    • Organizer
      第2回徳山環論セミナー
    • Place of Presentation
      徳山高専
    • Related Report
      2011 Research-status Report
  • [Presentation] Mutation in triangulated categories2012

    • Author(s)
      Osamu Iyama
    • Organizer
      第7回代数・解析・幾何学セミナー(招待講演)
    • Place of Presentation
      鹿児島大学
    • Related Report
      2011 Research-status Report
  • [Presentation] Pseudo-tilting theory2012

    • Author(s)
      Osamu Iyama
    • Organizer
      Representation Theory of Chevalley Groups and Related Topics(招待講演)
    • Place of Presentation
      名古屋大学
    • Related Report
      2011 Research-status Report
  • [Presentation] n-representation infinite algebras2012

    • Author(s)
      Osamu Iyama
    • Organizer
      エジンバラ大学代数学セミナー
    • Place of Presentation
      エジンバラ大学
    • Related Report
      2011 Research-status Report
  • [Presentation] Stable categories of Cohen-Macaulay modules and cluster categories2012

    • Author(s)
      Osamu Iyama
    • Organizer
      グラスゴー大学代数学セミナー
    • Place of Presentation
      グラスゴー大学
    • Related Report
      2011 Research-status Report
  • [Presentation] $\tau$-tilting theory,2012

    • Author(s)
      Osamu Iyama
    • Organizer
      Cluster categories and cluster tilting(招待講演)
    • Place of Presentation
      ノルウェー理工科大学
    • Related Report
      2011 Research-status Report
  • [Presentation] McKay correspondence via G-Hilbert schemes2012

    • Author(s)
      Yukari Ito
    • Organizer
      Derived category, Mirror symmetry and McKay correspondence seminar(招待講演)
    • Place of Presentation
      東京大学国際高等研究所カブリ数物連携宇宙研究機構
    • Related Report
      2011 Research-status Report
  • [Presentation] Motivic Donaldson-Thomas invariants and wall-crossing2011

    • Author(s)
      Kentaro Nagao
    • Organizer
      Workshop on Derived Categories(招待講演)
    • Place of Presentation
      Newton Institute, Cambridge
    • Related Report
      2011 Research-status Report
  • [Presentation] Motivic Hall algebras2011

    • Author(s)
      Kentaro Nagao
    • Organizer
      Cluster algebras, representation theory, and Poisson geometry(招待講演)
    • Place of Presentation
      BIRS
    • Related Report
      2011 Research-status Report
  • [Presentation] Refined topological vertex and matrix counting2011

    • Author(s)
      Kentaro Nagao
    • Organizer
      組合せ論的表現論の拡がり(招待講演)
    • Place of Presentation
      RIMS
    • Related Report
      2011 Research-status Report
  • [Presentation] Tilting and cluster tilting for stable categories of Cohen-Macaulay modules2011

    • Author(s)
      Osamu Iyama
    • Organizer
      Workshop on Matrix Factorizations(招待講演)
    • Place of Presentation
      University of Bielefeld
    • Related Report
      2011 Research-status Report
  • [Presentation] Tilting and cluster tilting for stable categories of Cohen-Macaulay modules2011

    • Author(s)
      Osamu Iyama
    • Organizer
      大阪表現論セミナー
    • Place of Presentation
      大阪市立大学
    • Related Report
      2011 Research-status Report
  • [Presentation] Higher preprojective algebras and their stable categories2011

    • Author(s)
      Osamu Iyama
    • Organizer
      大阪市立大学代数学セミナー
    • Place of Presentation
      大阪市立大学
    • Related Report
      2011 Research-status Report
  • [Presentation] Tilting and cluster tilting for Cohen-Macaulay modules2011

    • Author(s)
      Osamu Iyama
    • Organizer
      第5回大和郡山セミナー
    • Place of Presentation
      奈良高専
    • Related Report
      2011 Research-status Report
  • [Presentation] Cluster algebras and categorification2011

    • Author(s)
      Osamu Iyama
    • Organizer
      Infinite Analysis 11(招待講演)
    • Place of Presentation
      東京大学
    • Related Report
      2011 Research-status Report
  • [Presentation] Auslander-Reiten duality for Cohen-Macaulay modules2011

    • Author(s)
      Osamu Iyama
    • Organizer
      第8回可換環論サマースクール
    • Place of Presentation
      名古屋大学
    • Related Report
      2011 Research-status Report
  • [Presentation] Calabi-Yau reduction for hypersurface singularities2011

    • Author(s)
      Osamu Iyama
    • Organizer
      カンザス大学代数学セミナー
    • Place of Presentation
      カンザス大学
    • Related Report
      2011 Research-status Report
  • [Presentation] Auslander-Reiten duality and maximal modification algebras for non-isolated singularities2011

    • Author(s)
      Osamu Iyama
    • Organizer
      リンカーン大学代数学セミナー
    • Place of Presentation
      リンカーン大学
    • Related Report
      2011 Research-status Report
  • [Presentation] Tilting and cluster tilting for stable categories of Cohen-Macaulay modules2011

    • Author(s)
      Osamu Iyama
    • Organizer
      Noncommutative Algebraic Geometry(招待講演)
    • Place of Presentation
      Fudan University
    • Related Report
      2011 Research-status Report
  • [Presentation] $n$-representation infinite algebras2011

    • Author(s)
      Osamu Iyama
    • Organizer
      Shanghai Conference on Representation Theory of Algebras(招待講演)
    • Place of Presentation
      Shanghai Jiao Tong University
    • Related Report
      2011 Research-status Report
  • [Presentation] 3回連続講演, Auslander correspondence and $n$-representation finite algebras, Higher preprojective algebras and quives with potential, $n$-representation infinite algebras2011

    • Author(s)
      Osamu iyama
    • Organizer
      第10回静岡代数学セミナー(招待講演)
    • Place of Presentation
      静岡大学
    • Related Report
      2011 Research-status Report
  • [Presentation] 安定圏, 導来圏, 団圏 -環論の世界の拡がり2011

    • Author(s)
      Osamu Iyama
    • Organizer
      信州代数談話会(招待講演)
    • Place of Presentation
      信州大学
    • Related Report
      2011 Research-status Report
  • [Presentation] ポテンシャル付き箙とAPR傾加群2011

    • Author(s)
      Osamu Iyama
    • Organizer
      信州代数セミナー
    • Place of Presentation
      信州大学
    • Related Report
      2011 Research-status Report
  • [Presentation] Higher dimensional crepant resolutions2011

    • Author(s)
      Yukari Ito
    • Organizer
      研究集会「特異点とその広がり」(招待講演)
    • Place of Presentation
      京都大学
    • Related Report
      2011 Research-status Report
  • [Presentation] Crepant resolution via quiver representation and G-Hilbert schemes

    • Author(s)
      Yukari Ito
    • Organizer
      European Women in Mathematics 16th General Meeting
    • Place of Presentation
      ドイツ・ボン大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] The world of quotient singularities (poster)

    • Author(s)
      Yukari Ito
    • Organizer
      European Women in Mathematics 16th General Meeting
    • Place of Presentation
      ドイツ・ボン大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Towards non-commutative Reid's recipe

    • Author(s)
      Yukari Ito
    • 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 Research-status Report
    • Invited
  • [Presentation] Geigle-Lenzing spaces, d-canonical algebras and d-representation infinite algebras

    • Author(s)
      Osamu Iyama
    • Organizer
      Noncommutative Algebraic Geometry and Representation Theory seminar
    • Place of Presentation
      Mathematical Sciences Research Institute, USA.
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Geigle-Lenzing spaces and canonical algebras in dimension d

    • Author(s)
      Osamu Iyama
    • Organizer
      可換環論セミナー
    • Place of Presentation
      名古屋大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Geigle-Lenzing spaces and canonical algebras in dimension d

    • 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 Research-status Report
    • Invited
  • [Presentation] Geigle-Lenzing spaces and canonical algebras in dimension d

    • Author(s)
      Osamu Iyama
    • Organizer
      Noncommutative Algebraic Geometry and Related Topics
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Tilting theory on Geigle-Lenzing weighted projective spaces

    • Author(s)
      Osamu Iyama
    • Organizer
      特異点セミナー
    • Place of Presentation
      日本大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Geigle-Lenzing spaces and canonical algebras in dimension d

    • Author(s)
      Osamu Iyama
    • Organizer
      Advances in Representation Theory of Algebras
    • Place of Presentation
      Nicolaus Copernicus University, Torun, Poland
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Introduction to tilting theory, Geigle-Lenzing spaces and canonical algebras in dimension d (2回)

    • Author(s)
      Osamu Iyama
    • Organizer
      DMM (Derived McKay correspondence and Mirror symmetry) seminer
    • Place of Presentation
      IPMU
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Geigle-Lenzing spaces and canonical algebras in dimension d

    • 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 Research-status Report
    • Invited
  • [Presentation] Geigle-Lenzing weighted projective spaces

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

    • Author(s)
      Osamu Iyama
    • Organizer
      Cluster Algebras and Related Topics
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach, Germany
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 多元環の表現論入門1,2

    • Author(s)
      Osamu Iyama
    • Organizer
      神楽坂代数セミナー
    • Place of Presentation
      東京理科大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Silting reduction and Calabi-Yau reduction

    • Author(s)
      Osamu Iyama
    • Organizer
      Cluster Algebras and Combinatorics
    • Place of Presentation
      University of Muenster, Germany
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Stable categories of one-dimensional hypersurface singularities

    • Author(s)
      Osamu Iyama
    • Organizer
      Representation Theory Seminar
    • Place of Presentation
      Universtaet Bielefeld
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] On higher representation infinite algebras

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

    • Author(s)
      Osamu Iyama
    • Organizer
      Geometry, Physics and Representation Theory
    • Place of Presentation
      名古屋大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Hyperbolic 3-manifolds and cluster algebras

    • Author(s)
      長尾 健太郎
    • Organizer
      DMM Seminar
    • Place of Presentation
      Kavli IPMU
    • Related Report
      2012 Research-status 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 Research-status Report
    • Invited
  • [Presentation] Algebraic McKay correspondence for n-representation infinite algebras

    • Author(s)
      伊山 修
    • Organizer
      Conference on Resolution of Singularities and the McKay Correspondence
    • Place of Presentation
      名古屋大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Donaldson-Thomas theory and mapping class group

    • Author(s)
      長尾 健太郎
    • Organizer
      Geometry of derived categories and representation theory
    • Place of Presentation
      NorthWestern university
    • Related Report
      2012 Research-status 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 Research-status Report
    • Invited
  • [Presentation] Hyperbolic 3-manifolds and cluster algebras

    • Author(s)
      長尾 健太郎
    • Organizer
      Conference on geometry
    • Place of Presentation
      RIMS
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Hyperbolic 3-manifolds and cluster algebras

    • Author(s)
      長尾 健太郎
    • Organizer
      数理物理セミナー
    • Place of Presentation
      名古屋大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 傾理論とその仲間たち

    • Author(s)
      伊山 修
    • Organizer
      東北大学代数セミナー
    • Place of Presentation
      東北大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Silting mutation in triangurated categories

    • Author(s)
      伊山 修
    • Organizer
      Studio Phonesセミナー
    • Place of Presentation
      神戸大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] τ-tilting theory

    • Author(s)
      伊山 修
    • Organizer
      シュツットガルト大学代数セミナー
    • Place of Presentation
      シュツットガルト大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] τ-tilting theory

    • Author(s)
      伊山 修
    • Organizer
      第45回環論および表現論シンポジウム
    • Place of Presentation
      信州大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] On the iterated G-equivariant Hilbert schemes

    • Author(s)
      伊藤 由佳理
    • Organizer
      代数幾何学講演会
    • Place of Presentation
      埼玉大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] τ-tilting theory

    • Author(s)
      伊山 修
    • Organizer
      エジンバラ大学代数学セミナー
    • Place of Presentation
      エジンバラ大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] τ-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 Research-status Report
    • Invited
  • [Presentation] τ-tilting theory

    • Author(s)
      伊山 修
    • Organizer
      Cluster Algebras in Combinatorics, Algebra, and Geometry
    • Place of Presentation
      Mathematical Sciences Research Instiute
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 代数幾何学入門 I, II,

    • Author(s)
      伊藤 由佳理 (2回)
    • Organizer
      代数幾何学入門講義
    • Place of Presentation
      北海道教育大学旭川校
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 3次元双曲幾何とクラスター代数

    • Author(s)
      長尾 健太郎
    • Organizer
      火曜トポロジーセミナー
    • Place of Presentation
      東京大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Cohomological Hall algebras for 3-Calabi-Yau categories

    • Author(s)
      長尾 健太郎
    • Organizer
      UK-JAPAN MATHEMATICAL FORUM on Algebraic Geometry and Symplectic Geometry
    • Place of Presentation
      慶応義塾大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Cluster tilting for Cohen-Macaulay modules

    • Author(s)
      伊山 修
    • Organizer
      Representation Theory, Homological Algebra, and Free Resolutions
    • Place of Presentation
      Mathematical Sciences Research Instiute
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Maximal modifying modules and mutation

    • Author(s)
      伊山 修
    • Organizer
      Workshop on Triangulations and Mutations
    • Place of Presentation
      ニューカッスル大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] ポテンシャル付き箙,3 次元Calabi-Yau 圏及びコホモロジー的Hall 代数

    • Author(s)
      長尾 健太郎
    • Organizer
      日本数学会2013年年会
    • Place of Presentation
      京都大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Book] 研究するって面白い!-科学者になった11人の物語2016

    • Author(s)
      伊藤 由佳理 ほか10名
    • Total Pages
      208
    • Publisher
      岩波書店
    • Related Report
      2016 Annual Research Report
  • [Book] 数学辞典2016

    • Author(s)
      伊藤 由佳理ほか
    • Total Pages
      776
    • Publisher
      朝倉書店
    • Related Report
      2016 Annual Research Report
  • [Book] 「日本の国際化に向けて!」, “ coffee break ”, 『数学セミナー』2014 年 5 月号2014

    • Author(s)
      伊藤 由佳理
    • Total Pages
      1
    • Publisher
      日本評論社
    • Related Report
      2014 Research-status Report
  • [Book] 「トーラス碁をやってみよう!」『数学セミナー』2014 年 5 月号2014

    • Author(s)
      伊藤 由佳理
    • Total Pages
      4
    • Publisher
      日本評論社
    • Related Report
      2014 Research-status Report
  • [Book] 「女性が活躍できる環境を!」, “ coffee break ”, 『数学セミナー』2014 年 11 月号2014

    • Author(s)
      伊藤 由佳理
    • Total Pages
      1
    • Publisher
      日本評論社
    • Related Report
      2014 Research-status Report
  • [Book] 数学セミナー1月号「第16回ヨーロッパ女性数学会総会に参加して」2013

    • Author(s)
      伊藤 由佳理
    • Total Pages
      6
    • Publisher
      日本評論社
    • Related Report
      2013 Research-status Report
  • [Book] 「対称性に秘められた謎」, milsil Vol. 62013

    • Author(s)
      伊藤 由佳理
    • Publisher
      国立科学博物館
    • Related Report
      2012 Research-status Report
  • [Book] 科学者の本棚2011

    • Author(s)
      伊藤 由佳理、他(共著)
    • Total Pages
      263
    • Publisher
      岩波書店
    • Related Report
      2011 Research-status Report

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Published: 2011-08-05   Modified: 2022-02-16  

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