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Exploitation of new relations between differential geometry and quantum cohomology in the context of integrable systems

Research Project

Project/Area Number 21244004
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field Geometry
Research InstitutionWaseda University (2012)
Tokyo Metropolitan University (2009-2011)

Principal Investigator

GUEST Martin  早稲田大学, 理工学術院, 教授 (10295470)

Co-Investigator(Renkei-kenkyūsha) KAMISHIMA Yoshinobu  首都大学東京, 理工学研究科, 教授 (10125304)
TOKUNAGA Hiroo  首都大学東京, 理工学研究科, 教授 (30211395)
MAEDA Yoshiaki  慶應大学, 理工学部, 教授 (40101076)
MIYAOKA Reiko  東北大学, 理学研究科, 教授 (70108182)
KOHNO Toshitake  東京大学, 数理科学研究科, 教授 (80144111)
OHNITA Yoshihiro  大阪市立大学, 大学院・理学研究科, 教授 (90183764)
SAKAI Takashi  首都大学東京, 理工学研究科, 准教授 (30381445)
SERGEI V Ketov  首都大学東京, 理工学研究科, 准教授 (70347269)
AKAHO Manabu  首都大学東京, 理工学研究科, 助教 (30332935)
OTOFUJI Takashi  日本大学, 工学部, 講師 (70339266)
KOBAYASHI Shinpei  弘前大学, 大学院・理工学研究科, 助教 (40408654)
KUROSU Sanae  東京理科大学, 理学部, 助教 (70457844)
Project Period (FY) 2009 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥26,130,000 (Direct Cost: ¥20,100,000、Indirect Cost: ¥6,030,000)
Fiscal Year 2012: ¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000)
Fiscal Year 2011: ¥5,850,000 (Direct Cost: ¥4,500,000、Indirect Cost: ¥1,350,000)
Fiscal Year 2010: ¥7,150,000 (Direct Cost: ¥5,500,000、Indirect Cost: ¥1,650,000)
Fiscal Year 2009: ¥7,670,000 (Direct Cost: ¥5,900,000、Indirect Cost: ¥1,770,000)
Keywords幾何学 / 可積分系 / 量子コホモロジー
Research Abstract

We have made progress with some key examples, which demonstrate interesting and nontrivial phenomena. In "Nonlinear PDE aspects of the tt* equations of Cecotti and Vafa" (M. Guest and C.-S. Lin, J. reine angew. Math., 2012, in press) the existence of a family of smooth solutions of the tt*-Toda equation was established. This was a technical breakthrough: p.d.e. methods are well suited to the noncompact case, where standard loop group methods fail. In "Isomonodromy aspects of the tt* equations of Cecotti and Vafa I. Stokes data" (M. Guest, A. Its, and C.-S. Lin, arXiv:1209.2045), a second technical breakthrough was made, by relating the global smoothness of the solutions to the monodromy data (Stokes data) of an associated linear equation. This Stokes data was computed explicitly for all globally smooth solutions of the tt*-Toda equation. We expect that these techniques will be applicable to other problems in differential geometry.

Report

(5 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (184 results)

All 2013 2012 2011 2010 2009 Other

All Journal Article (66 results) (of which Peer Reviewed: 59 results) Presentation (109 results) (of which Invited: 1 results) Book (4 results) Remarks (5 results)

  • [Journal Article] Moment maps of the spin action and the Cartan-Munzner polynomials of degree four2013

    • Author(s)
      R. Miyaoka
    • Journal Title

      Math. Ann.

      Volume: 355 Pages: 1067-1084

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Transnormal functions on a Riemannian manifold2013

    • Author(s)
      R. Miyaoka
    • Journal Title

      Differential Geom. Appl.

      Volume: 31 Pages: 130-139

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Isoparametric hypersurfaces with(g,m)=(6,2)2013

    • Author(s)
      R.Miyaoka
    • Journal Title

      Ann. of Math.

      Volume: 177 Pages: 53-110

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Characterization for a (2,0)-Geodesic Affine Immersion2013

    • Author(s)
      S. Kurosu
    • Journal Title

      Results Math

      Volume: 63 Pages: 115-128

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Moment maps of the spin action and the Cartan-Munzner polynomials of degree four2013

    • Author(s)
      R. Miyaoka
    • Journal Title

      Math. Ann

      Volume: 355 Pages: 1067-1084

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Transnormal functions on a Riemannian manifold2013

    • Author(s)
      R. Miyaoka
    • Journal Title

      Differential Geom. Appl

      Volume: 31 Pages: 130-139

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Isoparametric hypersurfaces with(g,m)=(6,2)2013

    • Author(s)
      R. Miyaoka
    • Journal Title

      Ann. of Math

      Volume: 177 Pages: 53-110

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonlinear PDE aspects of the tt^* equations of Cecotti and Vafa2012

    • Author(s)
      Martin Guest and Chang-Shou Lin
    • Journal Title

      J. reine angew. Math

      Volume: (印刷中) Issue: 689 Pages: 1-32

    • DOI

      10.1515/crelle-2012-0057

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Some tt* structures and their integral Stokes data2012

    • Author(s)
      Martin Guest・Chang-Shou Lin
    • Journal Title

      Comm. Number Theory Phys

      Volume: (印刷中)

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Cohomogeneity one special Lagrangian submanifolds in the cotangent bundle of the sphere2012

    • Author(s)
      K. Hashimoto・T. Sakai
    • Journal Title

      Tohoku Math.J

      Volume: 64 Pages: 141-169

    • NAID

      130005128507

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Some sections on rational elliptic surfaces and certain special conic-quartic configurations2012

    • Author(s)
      H. Tokunaga
    • Journal Title

      Kodai Math. J

      Volume: 35 Pages: 78-104

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Relative nullity distributions, an affine immersion from an almost product manifold and a para-pluriharmonic isometric immersion2012

    • Author(s)
      S. Kurosu
    • Journal Title

      Ann. Global Anal. Geom.

      Volume: 42 Pages: 333-347

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] A tt*-bundle associated with a harmonic map from a Riemann surface into a sphere2012

    • Author(s)
      S. Kurosu・K. Moriya
    • Journal Title

      Differential Geom. Appl.

      Volume: 30 Pages: 227-232

    • NAID

      120007137291

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Lorentzian similarity manifold2012

    • Author(s)
      Y. Kamishima
    • Journal Title

      Cent. Eur. J. Math.

      Volume: 10 Pages: 1771-1788

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Deformation quantization of instantons on R^42012

    • Author(s)
      Y. Maeda・A. Sako
    • Journal Title

      Analysis, geometry and quantum field theory, Contemp. Math.

      Volume: 584 Pages: 39-63

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Homological representations of braid groups and KZ connections2012

    • Author(s)
      T. Kohno
    • Journal Title

      J. Singularities

      Volume: 5 Pages: 94-108

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Hyperplane arrangements, local system homology and iterated integrals2012

    • Author(s)
      T. Kohno
    • Journal Title

      Adv. Stud. Pure Math.

      Volume: 62 Pages: 157-174

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Some tt* structures and their integral Stokes data2012

    • Author(s)
      Martin Guest and Chang-Shou Lin
    • Journal Title

      Comm. Number Theory Phys

      Volume: 6

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Cohomogeneity one special Lagrangian submanifolds in the cotangent bundle of the sphere2012

    • Author(s)
      K. Hashimoto, T. Sakai
    • Journal Title

      Tohoku Math. J.

      Volume: 64 Pages: 141-169

    • NAID

      130005128507

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On local trigonal fibrations2012

    • Author(s)
      M. Ishizaka, H. Tokunaga
    • Journal Title

      Proc. Amer. Math. Soc

      Volume: 140 Pages: 3677-3686

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Relative nullity distributions, an affine immersion from an almost product manifold and a para-pluriharmonic isometric immersion2012

    • Author(s)
      S. Kurosu
    • Journal Title

      Ann. Global Anal. Geom

      Volume: 42 Pages: 333-347

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A tt*-bundle associated with a harmonic map from a Riemann surface into a sphere2012

    • Author(s)
      S. Kurosu, K. Moriya
    • Journal Title

      Differential Geom. Appl

      Volume: 30 Pages: 227-232

    • NAID

      120007137291

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Lorentzian similarity manifold2012

    • Author(s)
      Y. Kamishima
    • Journal Title

      Cent. Eur. J. Math

      Volume: 10 Pages: 1771-1788

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Deformation quantization of instantons on R^4 Analysis, geometry and quantum field theory2012

    • Author(s)
      Y. Maeda, A. Sako
    • Journal Title

      Contemp. Math

      Volume: 584 Pages: 39-63

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Homological representations of braid groups and KZ connections2012

    • Author(s)
      T. Kohno
    • Journal Title

      J. Singul

      Volume: 5 Pages: 94-108

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hyperplane arrangements, local system homology and iterated integrals2012

    • Author(s)
      T. Kohno
    • Journal Title

      Adv. Stud. Pure Math

      Volume: 62 Pages: 157-174

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonlinear PDE aspects of the tt* equations of Cecotti and Vafa2012

    • Author(s)
      Martin A.Guest, Chang-Shou Lin
    • Journal Title

      Crelle's Journal

      Volume: (印刷中)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] COHOMOGENEITY ONE SPECIAL LAGRANGIAN SUBMANIFOLDS IN THE COTANGENT BUNDLE OF THE SPHERE2012

    • Author(s)
      K.Hashimoto, T.Sakai
    • Journal Title

      Tohoku Mathematical Journal, Second Series

      Volume: 64 Issue: 1 Pages: 141-169

    • DOI

      10.2748/tmj/1332767344

    • NAID

      130005128507

    • ISSN
      0040-8735, 2186-585X
    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2016749

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Some sections on rational elliptic surfaces and certain special conic-quartic configurations2012

    • Author(s)
      H.Tokunaga
    • Journal Title

      Kodai Mathematical Journal

      Volume: 35 Issue: 1 Pages: 78-104

    • DOI

      10.2996/kmj/1333027255

    • NAID

      130004496159

    • ISSN
      0386-5991, 1881-5472
    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Certain Lagrangian submanifolds in Hermitian symmetric spaces and Hamiltonian stability problems2011

    • Author(s)
      Y. Ohnita
    • Journal Title

      Proceedings of The Fifteenth International Workshop on Differential Geometry

      Volume: 15 Pages: 209-234

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Journal Article] Differential geometry of Lagrangian submanifolds and Hamiltonian variational problems2011

    • Author(s)
      Hui Ma・Yoshihiro Ohnita
    • Journal Title

      Contemporary Mathematics

      Volume: 542 Pages: 115-134

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Higher-derivative gauge interactions of Bagger-Lambert-Gustavsson theory in N=1 superspace2011

    • Author(s)
      S. V. Ketov・S. Kobayashi
    • Journal Title

      Physical Reviews D

      Volume: 83 Issue: 4 Pages: 1-6

    • DOI

      10.1103/physrevd.83.045003

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Differential equations aspects of quantum cohomology2010

    • Author(s)
      M. Guest
    • Journal Title

      Geometric and Topological Methods for Quantum Field Theory (Cambridge Univ. Press)

      Pages: 54-58

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] The tt* structure of the quantum cohomology of CP^1 from the viewpoint of differential geometry2010

    • Author(s)
      J. Dorfmeister・M. Guest・W. Rossman
    • Journal Title

      Asian J. Math

      Volume: 14 Pages: 417-437

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] The tt* structure of the quantum cohomology of CP^1 from the viewpoint of differential geometry2010

    • Author(s)
      M.Guest, J.Dolfmeister, W.Rossman
    • Journal Title

      Asian J.Math.

      Volume: 14 Pages: 417-438

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tight Lagrangian surfaces in S^2×S^22010

    • Author(s)
      H.Iriyeh, T.Sakai
    • Journal Title

      Geometriae Dedicata

      Volume: 145 Pages: 1-17

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Immersed Lagrangian Floer theory2010

    • Author(s)
      Manabu Akaho, Dominic Joyce
    • Journal Title

      J.Differential Geom.

      Volume: 86 Pages: 381-500

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Geometry of Lagrangian Submanifolds and Isoparametric Hypersurfaces2010

    • Author(s)
      Y.Ohnita
    • Journal Title

      Proceedings of The Fourteenth International Workshop on Differential Geometry and Related Fields

      Volume: 14 Pages: 43-67

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Harmonic Maps of Surfaces and Integrable System Approach2010

    • Author(s)
      Y.Ohnita
    • Journal Title

      RIMS研究集会報告集

      Volume: 10-8 Pages: 1-27

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Chaotic inflation in F (R) supergravity2010

    • Author(s)
      S.V.Ketov
    • Journal Title

      Physics Letters

      Volume: B692 Pages: 272-276

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Geometry of irreducible plane quartics and their quadratic residue conics2010

    • Author(s)
      H.Tokunaga
    • Journal Title

      J.of Singularities

      Volume: 2 Pages: 170-190

    • Related Report
      2010 Annual Research Report 2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A cylinder theorem for a (1,1)-geodesic affine hypersurface with non-flat induced connection2010

    • Author(s)
      S.Kurosu
    • Journal Title

      Geom.Dedicata

      Volume: 144 Pages: 61-69

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Differential equations aspects of quantum cohomology2010

    • Author(s)
      M.Guest
    • Journal Title

      Geometric and Topological Methods for Quantum Field Theory, Cambridge Univ.Press

      Pages: 54-85

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On deformation of 3- dimensional certain minimal Legendrian submanifolds2009

    • Author(s)
      Y. Ohnita
    • Journal Title

      Proceedings of The Thirteenth International Workshop on Differential Differential Geometry and Related Fields

      Volume: 13 Pages: 71-87

    • Related Report
      2012 Final Research Report
  • [Journal Article] On Lagrangian submanifolds in complex hyperquadrics and isoparametric hypersurfaces in spheres2009

    • Author(s)
      H. Ma・Y. Ohnita
    • Journal Title

      Math.Z

      Volume: 261 Pages: 749-785

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Odebiyi, On the limits sets of spherical CR manifolds2009

    • Author(s)
      Y. Kamishima and Omolola
    • Journal Title

      Academia Sinica, New Series

      Volume: 4 Pages: 189-217

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Seifert fibred structure and rigidity on real Bott towers2009

    • Author(s)
      Y. Kamishima・Admi Nazra
    • Journal Title

      Contemp. Math

      Volume: 501 Pages: 103-122

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Weakly reflective submanifolds and austere submanifolds2009

    • Author(s)
      O. Ikawa・T. Sakai,・H. Tasaki
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 61 Pages: 437-481

    • NAID

      10024905762

    • Related Report
      2012 Final Research Report 2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Dorfmeister-Neher theorem on isoparametric hypersurfaces2009

    • Author(s)
      Reiko Miyaoka
    • Journal Title

      Osaka J. Math

      Pages: 695-715

    • NAID

      120005986657

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Xicontencatl, Orbit configuration spaces associated to discrete subgroups of PSL(2, R)2009

    • Author(s)
      T. Kohno・F. R. Cohen・M. A.
    • Journal Title

      Journal of Pure and Applied Algebra

      Volume: 213 Pages: 2289-2300

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Relative nullity distributions and $(1,1)$-geodesic affine immersions2009

    • Author(s)
      Sanae Kurosu
    • Journal Title

      Results in Math

      Volume: 56 Pages: 259-273

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article]2009

    • Author(s)
      乙藤隆史・マーティン・ゲスト
    • Journal Title

      日本評論社, 深谷賢治(偏)ミラー対称性入門

      Pages: 109-120

    • Related Report
      2012 Final Research Report
  • [Journal Article] On deformation of 3-dimensional certain minimal Legendrian submanifolds2009

    • Author(s)
      Y.Ohnita
    • Journal Title

      Proceedings of The Thirteenth International Workshop on Differential Geometry and Related Fields

      Volume: 13 Pages: 71-87

    • Related Report
      2009 Annual Research Report
  • [Journal Article] On Lagrangian submanifolds in complex hyperquadrics and isoparametric hypersurfaces in spheres2009

    • Author(s)
      H.Ma, Y.Ohnita
    • Journal Title

      Math.Z.

      Volume: 261 Pages: 749-785

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the limits sets of spherical CR manifolds2009

    • Author(s)
      Y.Kamishima, Omolola Odebiyi
    • Journal Title

      Academia Sinica, New Series

      Volume: 4 Pages: 189-217

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Cohomological Rigidity of real Bott manifolds2009

    • Author(s)
      Y.Kamishima, Mikiya Masuda
    • Journal Title

      ATG 9

      Volume: 9 Pages: 2479-2502

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Seifert fibred structure and rigidity on real Bott towers2009

    • Author(s)
      Y.Kamishima, Admi Nazra
    • Journal Title

      Contemp.Math.

      Volume: 501 Pages: 103-122

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Dorfmeister-Neher theorem on isoparametric hypersurfaces.2009

    • Author(s)
      Reiko Miyaoka
    • Journal Title

      Osaka J.Math.

      Volume: 46 Pages: 695-715

    • NAID

      120005986657

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Orbit configuration spaces associated to discrete subgroups of PSL(2, R)2009

    • Author(s)
      T.Kohno、F.R.Cohen, M.A.Xicontencatl
    • Journal Title

      Journal of Pure and Applied Algebra

      Volume: 213 Pages: 2289-2300

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ラグランジュ平均曲率流とシンプレクティック面積2009

    • Author(s)
      赤穂まなぶ
    • Journal Title

      数理解析研究所講究録

      Volume: 1668 Pages: 97-110

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Triple covers of algebraic sufaces and a generalization of Zariski's example2009

    • Author(s)
      H.Tokunaga, H.Ishida
    • Journal Title

      Advanced Studies in Pure Math.

      Volume: 56 Pages: 169-185

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Non-Galois triple coverings of ${¥mathbb P}^2$ branched along quintic curves and their cubic equations2009

    • Author(s)
      H.Tokunaga, T.Yasumura
    • Journal Title

      Nihonkai J.of Math.

      Volume: 20 Pages: 109-126

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Relative nullity distributions and $(1,1)$-geodesic affine immersions2009

    • Author(s)
      Sanae Kurosu
    • Journal Title

      Results in Math.

      Volume: 56 Pages: 259-273

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Lagrangian Floer homology of a pair of real forms in Hermitian symmetric spaces of compact type

    • Author(s)
      H.Iriyeh・T.Sakai・H.Tasaki
    • Journal Title

      Journal of Mathematical Society of Japan

      Volume: (印刷中)

    • NAID

      130003384667

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Lagrangian Floer homology of a pair of real forms in Hermitian symmetric spaces of compact type

    • Author(s)
      H.Iriyeh, T.Sakai, H.Tasaki
    • Journal Title

      Journal of Mathematical Society of Japan

      Volume: (掲載決定)

    • NAID

      130003384667

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The tt^* structure of the quantum cohomology of CP^1 from the viewpoint of differential geometry

    • Author(s)
      J.Dorfmeister, M.Guest, W.Rossman
    • Journal Title

      Asian J.Math

      Volume: (印刷中 to appear)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] Toda equations, meromorphic connections, and harmonic maps2012

    • Author(s)
      Martin Guest
    • Organizer
      Workshop on Integrable Systems and Geometric PDEs
    • Place of Presentation
      National Taiwan University, Taiwan
    • Year and Date
      2012-10-20
    • Related Report
      2012 Final Research Report
  • [Presentation] Global solutions of the tt*-equations and their integral Stokes data2012

    • Author(s)
      Martin Guest
    • Organizer
      FI Oberwolfach, Singularity Theory and Integrable Systems
    • Place of Presentation
      Germany
    • Year and Date
      2012-04-24
    • Related Report
      2012 Final Research Report
  • [Presentation] Harmonic maps, Frobenius manifolds, and TERPS2012

    • Author(s)
      Martin Guest
    • Organizer
      University of California Irvine, Geometry Seminar
    • Place of Presentation
      Geometry Seminar, USA
    • Year and Date
      2012-04-05
    • Related Report
      2012 Final Research Report
  • [Presentation] Infrasolv-towers and smooth rigidity of geometric aspherical manifolds2012

    • Author(s)
      神島芳宣
    • Organizer
      トポロジー分科会
    • Place of Presentation
      東京理科大
    • Year and Date
      2012-03-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] Rigidity on compact Fefferman-Lorentz manifolds2012

    • Author(s)
      Y.Kamishima
    • Organizer
      East Asia Mini-Workshop on CR Geometry
    • Place of Presentation
      台湾国立大学
    • Year and Date
      2012-03-25
    • Related Report
      2011 Annual Research Report
  • [Presentation] 複素二次超曲面の実形のHamilton体積最小性について2012

    • Author(s)
      酒井高司
    • Organizer
      シンプレクティック幾何と平均曲率流
    • Place of Presentation
      KKR蔵王白銀荘
    • Year and Date
      2012-03-23
    • Related Report
      2011 Annual Research Report
  • [Presentation] Lagrangian Floer homology and its application to Hamiltonian volume minimizing property2012

    • Author(s)
      酒井高司
    • Organizer
      The 4th TIMS-OCAMI Joint International Workshop on Differential Geometry and Geometric Analysis
    • Place of Presentation
      国立台湾大学
    • Year and Date
      2012-03-18
    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Presentation] Harmonic Maps into Symmetric Spaces and Integrable System Approach (a survey)2012

    • Author(s)
      大仁田義裕
    • Organizer
      第4回台大数学科学中心-大阪市立大学数学研究所共催国際ワークショップ「微分幾何学と幾何解析」
    • Place of Presentation
      国立台湾大学
    • Year and Date
      2012-03-17
    • Related Report
      2011 Annual Research Report
  • [Presentation] The tt*-Toda equations, University of Quebec at Montreal2012

    • Author(s)
      Martin Guest
    • Organizer
      CIRGET Seminar
    • Place of Presentation
      Canada
    • Year and Date
      2012-03-12
    • Related Report
      2012 Final Research Report
  • [Presentation] The tt*-Toda equations2012

    • Author(s)
      Martin Guest
    • Organizer
      CIRGET Seminar
    • Place of Presentation
      University of Quebec at Montreal,カナダ
    • Year and Date
      2012-03-12
    • Related Report
      2011 Annual Research Report
  • [Presentation] Introduction to the article "On the classification of N=2 supersymmetric theories" by Cecotti and Vafa2012

    • Author(s)
      Martin Guest
    • Organizer
      Koriyama Geometry and Physics Day
    • Place of Presentation
      日本大学郡山
    • Year and Date
      2012-02-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] The tt*-Toda equations (continued)2012

    • Author(s)
      Martin Guest
    • Organizer
      Workshop on Isomonodromic deformations and related topics
    • Place of Presentation
      首都大学東京
    • Year and Date
      2012-01-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] 境界付き多様体のモースホモロジーI,II2012

    • Author(s)
      赤穂まなぶ
    • Organizer
      ホモロジー的ミラー対称性のSYZ的アプローチ
    • Place of Presentation
      千葉大学
    • Related Report
      2011 Annual Research Report
  • [Presentation] 複素二次超曲面の実形のHamilton体積最小性について2011

    • Author(s)
      酒井高司
    • Organizer
      部分多様体論・湯沢2011
    • Place of Presentation
      湯沢グランドホテル
    • Year and Date
      2011-11-25
    • Related Report
      2011 Annual Research Report
  • [Presentation] Certain Lagrangian submanifolds in Hermitian symmetric spaces and Hamiltonian stability problems2011

    • Author(s)
      大仁田義裕
    • Organizer
      福岡大学微分幾何学研究会
    • Place of Presentation
      福岡大学セミナーハウス
    • Year and Date
      2011-11-06
    • Related Report
      2011 Annual Research Report
  • [Presentation] Integrable systems and quantum cohomology2011

    • Author(s)
      Martin Guest
    • Organizer
      University of Guanajuato
    • Place of Presentation
      Mexico, Colloquium
    • Year and Date
      2011-11-01
    • Related Report
      2012 Final Research Report
  • [Presentation] The tt*-Toda equations2011

    • Author(s)
      Martin Guest
    • Organizer
      50 Years of Mathematics at CINVESTAV
    • Place of Presentation
      CINVESTAV, Mexico City
    • Year and Date
      2011-10-31
    • Related Report
      2012 Final Research Report
  • [Presentation] The tt*-Toda equations2011

    • Author(s)
      Martin Guest
    • Organizer
      幾何学セミナー
    • Place of Presentation
      首都大学東京
    • Year and Date
      2011-10-31
    • Related Report
      2011 Annual Research Report
  • [Presentation] Geometry of sections of elliptic surfaces and its application to Zariski pairs2011

    • Author(s)
      徳永浩雄
    • Organizer
      特異点セミナー
    • Place of Presentation
      東京理科大
    • Year and Date
      2011-10-17
    • Related Report
      2011 Annual Research Report
  • [Presentation] エルミート対称空間の等質ラグランジュ部分多様体とハミルトン安定性問題2011

    • Author(s)
      大仁田義裕
    • Organizer
      広島幾何学研究集会2011
    • Place of Presentation
      広島大学大学院先端物質科学研究科
    • Year and Date
      2011-10-07
    • Related Report
      2011 Annual Research Report
  • [Presentation] Splitting curves for double covers and the topology of the complements of certain curves on rational ruled surfaces2011

    • Author(s)
      H.Tokunaga
    • Organizer
      DMW Jahrestagung 2011
    • Place of Presentation
      Universitat zu Koln
    • Year and Date
      2011-09-19
    • Related Report
      2011 Annual Research Report
  • [Presentation] Elliptic dihedral covers2011

    • Author(s)
      H.Tokunaga
    • Organizer
      Topology Seminar
    • Place of Presentation
      Universidad Zaragoza
    • Year and Date
      2011-09-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] Deformation quantization and spectral analysis2011

    • Author(s)
      Yoshiaki Maeda
    • Organizer
      Harmonic Analysis, Deformation Quantization and Noncommutative Geometry
    • Place of Presentation
      Scalea, Italy
    • Year and Date
      2011-09-07
    • Related Report
      2011 Annual Research Report
  • [Presentation] Certain Lagrangian Submanifolds in Hermitian Symmetric Spaces and Hamiltonian Stability Problem2011

    • Author(s)
      大仁田義裕
    • Organizer
      International Conference "Toric Topology and Automorphic Functions"
    • Place of Presentation
      太平洋国立大学,ハバロフスク,ロシア
    • Year and Date
      2011-09-06
    • Related Report
      2011 Annual Research Report
  • [Presentation] 球面の余接束内の特殊Lagrange部分多様体2011

    • Author(s)
      酒井高司
    • Organizer
      部分多様体幾何とリー群作用
    • Place of Presentation
      東京理科大学森戸記念館
    • Year and Date
      2011-09-03
    • Related Report
      2011 Annual Research Report
  • [Presentation] 境界付き多様体のモース理論2011

    • Author(s)
      赤穂まなぶ
    • Organizer
      部分多様体幾何とリー群作用2011
    • Place of Presentation
      東京理科大学
    • Year and Date
      2011-09-02
    • Related Report
      2011 Annual Research Report
  • [Presentation] The tt*-Toda equations, Wuhan Institute of Physics and Mathematics2011

    • Author(s)
      Martin Guest
    • Organizer
      11th National Conference on Integrable Systems
    • Year and Date
      2011-07-27
    • Related Report
      2012 Final Research Report
  • [Presentation] The tt*-Toda equations2011

    • Author(s)
      Martin Guest
    • Organizer
      11th National Conference on Integrable Systems
    • Place of Presentation
      Wuhan Institute of Physics and Mathematics,中国
    • Year and Date
      2011-07-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] Geometry of Lagrangian submanifolds and isoparametric hypersurfaces2011

    • Author(s)
      大仁田義裕
    • Organizer
      第4回非線形数理物理物理国際ワークショップ・第11回全国可積分系研究集会
    • Place of Presentation
      中国科学院武漢物理与数学研究所,中国
    • Year and Date
      2011-07-26
    • Related Report
      2011 Annual Research Report
  • [Presentation] Towards Noncommutative Differential Geometry2011

    • Author(s)
      Yoshiaki Maeda
    • Organizer
      Advanced Mathematical Science
    • Place of Presentation
      明治大学数理科学
    • Year and Date
      2011-07-21
    • Related Report
      2011 Annual Research Report
  • [Presentation] Lorentzian similarity manifolds2011

    • Author(s)
      Y.Kamishima
    • Organizer
      Workshop" Cartan Connections, Geometry of Homogeneous Spaces and Dynamics
    • Place of Presentation
      ESI, Vienna (Austria)
    • Year and Date
      2011-07-21
    • Related Report
      2011 Annual Research Report
  • [Presentation] 境界付き多様体のモース理論2011

    • Author(s)
      赤穂まなぶ
    • Organizer
      香川セミナー
    • Place of Presentation
      香川大学
    • Year and Date
      2011-07-02
    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Presentation] ラグランジュ部分多様体と等径超曲面の幾何学2011

    • Author(s)
      大仁田義裕
    • Organizer
      RIMS研究集会「部分多様体の微分幾何学的研究」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-06-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] 球面の余接束内の余等質性1の特殊Lagrange部分多様体2011

    • Author(s)
      酒井高司
    • Organizer
      理工学部数学科談話会
    • Place of Presentation
      東京理科大学
    • Year and Date
      2011-06-20
    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Presentation] On splitting curves with respect to certain double covers of rational ruled surfaces2011

    • Author(s)
      徳永浩雄
    • Organizer
      代数幾何学シンポジウム-佐渡-
    • Place of Presentation
      佐渡島開発総合センター
    • Year and Date
      2011-06-05
    • Related Report
      2011 Annual Research Report
  • [Presentation] The tt*-Toda equations2011

    • Author(s)
      Martin Guest
    • Organizer
      Workshop on Isomonodromy Theory
    • Place of Presentation
      Taiwan National University
    • Year and Date
      2011-06-03
    • Related Report
      2012 Final Research Report
  • [Presentation] The tt*-Toda equations2011

    • Author(s)
      Martin Guest
    • Organizer
      Workshop on Isomonodromy Theory
    • Place of Presentation
      台湾国立大学、台湾
    • Year and Date
      2011-06-03
    • Related Report
      2011 Annual Research Report
  • [Presentation] Orbifold quantum cohomology2011

    • Author(s)
      Martin Guest
    • Organizer
      hypergeometric equations, and integrable, systems Academia Sinica
    • Place of Presentation
      Taiwan, Colloquium
    • Year and Date
      2011-04-28
    • Related Report
      2012 Final Research Report
  • [Presentation] Orbifold quantum cohomology, hypergeometric equations, and integrable systems2011

    • Author(s)
      Martin Guest
    • Organizer
      Geometry Seminar
    • Place of Presentation
      Academia Sinica,台湾
    • Year and Date
      2011-04-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] On quadratic residue curves and its application2011

    • Author(s)
      H.Tokunaga
    • Organizer
      Workshop on Computational Aspects of Birational Geometry
    • Place of Presentation
      NIMS, Daejeon, Korea
    • Year and Date
      2011-03-29
    • Related Report
      2010 Annual Research Report
  • [Presentation] コンパクト型Hermite対称空間の二つの実形の対のFloerホモロジー2011

    • Author(s)
      入江博, 酒井高司, 田崎博之
    • Organizer
      日本数学会2011年度年会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2011-03-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] 球面の余接束内の余等質性1の特殊Lagrange部分多様体2011

    • Author(s)
      橋本要, 酒井高司
    • Organizer
      日本数学会2011年度年会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2011-03-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] 概積および複素構造を持つ多様体からのアファインはめ込みに対するアファイン基本形式を用いた特徴付け2011

    • Author(s)
      黒須早苗
    • Organizer
      名城大学幾何学研究集会
    • Place of Presentation
      名城大学
    • Year and Date
      2011-03-09
    • Related Report
      2010 Annual Research Report
  • [Presentation] On Lagrangian submanifolds in complex hyperquadrics obtained from isoparametric hypersurfaces2011

    • Author(s)
      Y.Ohnita
    • Organizer
      日本-スペイン微分幾何学研究集会
    • Place of Presentation
      グラナダ大学幾何学・トポロジー教室,スペイン
    • Year and Date
      2011-02-14
    • Related Report
      2010 Annual Research Report
  • [Presentation] 境界付き多様体におけるモースホモロジーのカップ積について2011

    • Author(s)
      赤穂まなぶ
    • Organizer
      接触構造・特異点・微分方程式およびその周辺
    • Place of Presentation
      京都市職員厚生会職員会館かもがわ
    • Year and Date
      2011-01-23
    • Related Report
      2010 Annual Research Report
  • [Presentation] Certain Lagrangian Submanifolds in Hermitian Symmetric Spaces and Hamiltonian Stability Problems (I), (II)2011

    • Author(s)
      大仁田義裕
    • Organizer
      第15回慶北国立大学微分幾何学国際ワークショップ兼第4回慶北国立大学Grassmann Research Group-大阪市立大学数学研究所共催微分幾何学ワークショップ
    • Place of Presentation
      韓国・慶北国立大学
    • Related Report
      2011 Annual Research Report
  • [Presentation] 球面の余接束内の余等質性1の特殊Lagrange部分多様体2010

    • Author(s)
      酒井高司
    • Organizer
      幾何学セミナー
    • Place of Presentation
      東北大学
    • Year and Date
      2010-11-30
    • Related Report
      2010 Annual Research Report
  • [Presentation] 球面への調和写像に付随するtt*束2010

    • Author(s)
      黒須早苗
    • Organizer
      研究集会「部分多様体・湯沢2010」
    • Place of Presentation
      湯沢グランドホテル
    • Year and Date
      2010-11-26
    • Related Report
      2010 Annual Research Report
  • [Presentation] Splitting curves in double covers and elliptic surfaces2010

    • Author(s)
      H.Tokunaga
    • Organizer
      Galois-theoretic Arithmetic Geometry
    • Place of Presentation
      国際高等研究所
    • Year and Date
      2010-10-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] 等径超曲面から得られるラグランジュ部分多様体について2010

    • Author(s)
      大仁田義裕
    • Organizer
      福岡大学微分幾何学研究会″Geometry and Something″
    • Place of Presentation
      福岡大学セミナーハウス
    • Year and Date
      2010-10-10
    • Related Report
      2010 Annual Research Report
  • [Presentation] 球面への調和写像に付随するtt*束2010

    • Author(s)
      黒須早苗
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] From quantum cohomology to integrable systems2010

    • Author(s)
      Martin Guest
    • Organizer
      ETH
    • Place of Presentation
      Zurich
    • Year and Date
      2010-09-10
    • Related Report
      2012 Final Research Report
  • [Presentation] 球面への調和写像に付随するtt*束2010

    • Author(s)
      黒須早苗
    • Organizer
      研究集会「阿蘇幾何学研究集会」
    • Place of Presentation
      休暇村南阿蘇
    • Year and Date
      2010-08-30
    • Related Report
      2010 Annual Research Report
  • [Presentation] Cohomogeneity one special Lagrangian submanifolds in the cotangent bundle of the sphere2010

    • Author(s)
      酒井高司
    • Organizer
      Workshop on Hypersurfaces Geometry and Integrable Systems
    • Place of Presentation
      東北大学
    • Year and Date
      2010-08-27
    • Related Report
      2010 Annual Research Report
  • [Presentation] On Lagrangian submanifolds in complex hyperquadrics obtained from isoparametric hypersurfaces2010

    • Author(s)
      Y.Ohnita
    • Organizer
      超曲面論と可積分系理論
    • Place of Presentation
      東北大学
    • Year and Date
      2010-08-26
    • Related Report
      2010 Annual Research Report
  • [Presentation] A tt*-structure associated to a harmonic map into a sphere2010

    • Author(s)
      黒須早苗
    • Organizer
      研究集会「Work shop "tt*-geometry"」
    • Place of Presentation
      首都大学東京
    • Year and Date
      2010-08-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] Some new solutions of the tt* equations2010

    • Author(s)
      Martin Guest
    • Organizer
      IPMU
    • Place of Presentation
      Tokyo. DMM Seminar
    • Year and Date
      2010-07-12
    • Related Report
      2012 Final Research Report
  • [Presentation] Some new solutions of the tt* equations2010

    • Author(s)
      Martin Guest
    • Organizer
      DMM Seminar
    • Place of Presentation
      IPMU,東京大学
    • Year and Date
      2010-07-10
    • Related Report
      2010 Annual Research Report
  • [Presentation] New life for an old lattice2010

    • Author(s)
      Martin Guest
    • Organizer
      Conference on Geometry and Topology in honour of John, Bolton and Cherry Kearton
    • Place of Presentation
      University of Durham
    • Year and Date
      2010-06-22
    • Related Report
      2012 Final Research Report
  • [Presentation] New life for an old lattice2010

    • Author(s)
      Martin Guest
    • Organizer
      Conference on Geometry and Topology
    • Place of Presentation
      University of Durham,英国
    • Year and Date
      2010-06-22
    • Related Report
      2010 Annual Research Report
  • [Presentation] Differential Geometry of Lagrangian Submanifolds and Related Hamiltonian Variational Problems2010

    • Author(s)
      Y.Ohnita
    • Organizer
      北京師範大学数学科学学院学術報告
    • Place of Presentation
      中国科学院
    • Year and Date
      2010-06-09
    • Related Report
      2010 Annual Research Report
  • [Presentation] Towards singular Lagrangian Floer theory2010

    • Author(s)
      Manabu Akaho
    • Organizer
      Symplectic Geometry, Noncommutative Geometry and Physics
    • Place of Presentation
      MSRI
    • Year and Date
      2010-05-11
    • Related Report
      2010 Annual Research Report
  • [Presentation] tt*-geometry, MFI Oberwolfach2010

    • Author(s)
      Martin Guest
    • Organizer
      Progress on Surface Theory
    • Year and Date
      2010-05-04
    • Related Report
      2012 Final Research Report
  • [Presentation] tt*-geometry2010

    • Author(s)
      Martin Guest
    • Organizer
      Progress on Surface Theory
    • Place of Presentation
      MFI Oberwolfach,ドイツ
    • Year and Date
      2010-05-04
    • Related Report
      2010 Annual Research Report
  • [Presentation] On Lagrangian submanifolds in complex hyperquadrics obtained from isoparametric hypersurfaces2010

    • Author(s)
      Y.Ohnita
    • Organizer
      Oberwolfach Meeting on Progress in Surface Theory
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach,ドイツ
    • Year and Date
      2010-05-04
    • Related Report
      2010 Annual Research Report
  • [Presentation] Quantum cohomology and integrable systems I2010

    • Author(s)
      Martin Guest
    • Organizer
      TIMS seminar
    • Place of Presentation
      National Taiwan University
    • Year and Date
      2010-04-16
    • Related Report
      2012 Final Research Report
  • [Presentation] ADHM構成法の非可換変形2010

    • Author(s)
      前田吉昭、佐古彰史
    • Organizer
      日本数学会年会
    • Place of Presentation
      慶應義塾大学
    • Year and Date
      2010-03-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] Hamiltonian stability of the Gauss images of homogeneous isoparametric hypersurfaces2010

    • Author(s)
      Y.Ohnita
    • Organizer
      III(Hui Ma(中国・清華大学)と共同),日本数学会年会 幾何学分科会 一般講演
    • Place of Presentation
      慶応義塾大学(矢上キャンパス)
    • Year and Date
      2010-03-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] Tight Lagrangian submanifolds in some homogeneous Kahler manifolds2010

    • Author(s)
      酒井 高司
    • Organizer
      TIMS-OCAMI Joint International Workshop on Differential Geometry and Geometric Analysis
    • Place of Presentation
      National Taiwan University
    • Year and Date
      2010-03-21
    • Related Report
      2012 Final Research Report 2009 Annual Research Report
  • [Presentation] 平面$4$次曲線と$2$次曲線の相互律について2010

    • Author(s)
      H.Tokunaga
    • Organizer
      近畿大学理工学部談話会
    • Place of Presentation
      近畿大学
    • Year and Date
      2010-01-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] From integrable systems to quantum cohomology2010

    • Author(s)
      Martin Guest
    • Organizer
      Tohoku University GCOE Spring School
    • Place of Presentation
      Tohoku University
    • Related Report
      2012 Final Research Report
  • [Presentation] Towards singular Lagrangian Floer theory2010

    • Author(s)
      赤穂まなぶ
    • Organizer
      空間の代数的・幾何的モデルとその周辺
    • Place of Presentation
      数理解析研究所
    • Related Report
      2010 Annual Research Report
  • [Presentation] Geometry of Lagrangian submanifolds and isoparametric hype rsurfaces, I, II2010

    • Author(s)
      Y.Ohnita
    • Organizer
      第14回慶北国立大学微分幾何学国際ワークショップ兼第3回慶北国立大学Grassmann Research Group-大阪市立大学数学研究所共催微分幾何学ワークショップ
    • Place of Presentation
      慶北国立大学(韓国)
    • Related Report
      2010 Annual Research Report
  • [Presentation] From Harmonic Maps and Integrable systems to Quantum Cohomology2010

    • Author(s)
      M.Guest
    • Organizer
      Tohoku University GCOE Program Spring School
    • Place of Presentation
      東北大学
    • Related Report
      2009 Annual Research Report
  • [Presentation] 集中講義「調和写像と可積分系理論:ループ群作用と無限次元可積分系」(1)接続と曲率,調和写像方程式の零曲率形式,(2)ループ群作用とDPW公式,(3)ユニトン変換とユニトン解,(4)スペクトラル曲線構成と代数的可積分系2010

    • Author(s)
      大仁田義裕
    • Organizer
      東北大学GCOE 春の学校「調和写像と可積分系理論から量子コホモロジーへ」,(2010.3.9-3.11)
    • Place of Presentation
      東北大学
    • Related Report
      2009 Annual Research Report
  • [Presentation] Introduction to integral geometry in Riemannian homogeneous spaces2010

    • Author(s)
      酒井高司
    • Organizer
      International Mini-Workshop on Integral Geometry and Symmetric Spaces
    • Place of Presentation
      Kyungpook National University
    • Related Report
      2009 Annual Research Report
  • [Presentation] Lagrangian mean curvature flow and symplectic area2010

    • Author(s)
      Manabu Akaho
    • Organizer
      Symplectic & Contact Winter School
    • Place of Presentation
      National Chen Kung University, Taiwan
    • Related Report
      2009 Annual Research Report
  • [Presentation] Explicit expressions of kinematic formulae in Riemannian homogeneous spaces2009

    • Author(s)
      酒井高司
    • Organizer
      2009 Joint Meeting of the Korean Mathematical Society and the American Mathematical Society
    • Place of Presentation
      Ewha Womans University
    • Year and Date
      2009-12-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] Some CMC surfaces with Maple and 3D-XplorMath2009

    • Author(s)
      Martin Guest
    • Organizer
      Kyoto University GCOE Seminar - Mathematical Research with Computers
    • Place of Presentation
      Kyoto University
    • Year and Date
      2009-12-12
    • Related Report
      2012 Final Research Report
  • [Presentation] Some CMC surfaces with Maple and 3D-XplorMath2009

    • Author(s)
      M.Guest
    • Organizer
      GCOE Seminar-Mathematical Research with Computers
    • Place of Presentation
      京都大学
    • Year and Date
      2009-12-12
    • Related Report
      2009 Annual Research Report
  • [Presentation] Minimal surfaces with 3D-XplorMath and Maple2009

    • Author(s)
      酒井高司
    • Organizer
      計算機を用いた数学研究
    • Place of Presentation
      京都大学
    • Year and Date
      2009-12-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] 旗多様体の実形の大域的タイト性2009

    • Author(s)
      酒井高司
    • Organizer
      部分多様体論・湯沢2009
    • Place of Presentation
      湯沢グランドホテル
    • Year and Date
      2009-11-28
    • Related Report
      2009 Annual Research Report
  • [Presentation] Hamiltonian stability of the Gauss images of homogeneous isoparametric hypersurfaces2009

    • Author(s)
      Y.Ohnita
    • Organizer
      福岡大学微分幾何学研究会"Geometry and Something", (2009.11.20-11.23)
    • Place of Presentation
      福岡大学セミナーハウス
    • Year and Date
      2009-11-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] 等質等径超曲面のガウス像のハミルトン安定性について II2009

    • Author(s)
      大仁田義裕
    • Organizer
      大阪市立大学数学研究所 微分幾何学セミナー
    • Place of Presentation
      大阪市立大学数学研究所
    • Year and Date
      2009-10-14
    • Related Report
      2009 Annual Research Report
  • [Presentation] Lagrangian mean curvature flow and symplectic area2009

    • Author(s)
      赤穂まなぶ
    • Organizer
      東京幾何セミナー
    • Place of Presentation
      東京大学
    • Year and Date
      2009-10-14
    • Related Report
      2009 Annual Research Report
  • [Presentation] Hamiltonian stability of the Gauss images of homogeneous isoparametric hypersurfaces2009

    • Author(s)
      Y.Ohnita
    • Organizer
      首都大学東京幾何学セミナー
    • Place of Presentation
      首都大学東京
    • Year and Date
      2009-10-02
    • Related Report
      2009 Annual Research Report
  • [Presentation] 接束上の$tt^*$構造のアファインはめ込みによる特徴付け2009

    • Author(s)
      黒須早苗
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] The mysterious Toda lattice2009

    • Author(s)
      Martin Guest
    • Organizer
      National Cheng Kung University
    • Place of Presentation
      Taiwan. Colloquium
    • Year and Date
      2009-09-17
    • Related Report
      2012 Final Research Report
  • [Presentation] Introduction to the Toda lattice I,II2009

    • Author(s)
      Martin Guest
    • Organizer
      Geometry seminar
    • Place of Presentation
      National Taiwan University
    • Year and Date
      2009-09-10
    • Related Report
      2012 Final Research Report
  • [Presentation] Absolutely area-minimizing cones over some minimal submanifolds in the sphere2009

    • Author(s)
      酒井高司
    • Organizer
      部分多様体幾何とリー群作用
    • Place of Presentation
      東京理科大
    • Year and Date
      2009-09-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] Differential Geometry of Lagrangian Submanifolds and Hamiltonian Variational Problems2009

    • Author(s)
      Y.Ohnita
    • Organizer
      A conference in honour of Professor John C.Wood 2009年9月7日-9月10日
    • Place of Presentation
      カリアリ,イタリア
    • Year and Date
      2009-09-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] Lagrangian mean curvature flow and symplectic area2009

    • Author(s)
      赤穂まなぶ
    • Organizer
      部分多様体とリー群作用
    • Place of Presentation
      東京理科大学
    • Year and Date
      2009-09-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] On quadratic residue divisors and their application2009

    • Author(s)
      H.Tokunaga
    • Organizer
      5th Franco-Japanese symposium on Singularites
    • Place of Presentation
      Universite de Strasbourg
    • Year and Date
      2009-08-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] Splitting curves, dihedral covers and the Mordell-Weil groups2009

    • Author(s)
      H.Tokuaga
    • Organizer
      Singularities in Aarhus
    • Place of Presentation
      Aarhus University
    • Year and Date
      2009-08-20
    • Related Report
      2009 Annual Research Report
  • [Presentation] Orbifold quantum cohomology2009

    • Author(s)
      Martin Guest
    • Organizer
      1st PRIMA Congress
    • Place of Presentation
      University of New South Wales
    • Year and Date
      2009-07-06
    • Related Report
      2012 Final Research Report
  • [Presentation] Absolutely area-minimizing cones over some minimal submanifolds in S^n2009

    • Author(s)
      酒井高司
    • Organizer
      曲線と曲面の変分問題と関連する話題
    • Place of Presentation
      奈良女子大
    • Year and Date
      2009-07-01
    • Related Report
      2009 Annual Research Report
  • [Presentation] Lagrangian mean curvature flow and symplectic area2009

    • Author(s)
      赤穂まなぶ
    • Organizer
      部分多様体論とその周辺領域における新たな研究対象
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-06-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] Geometry of Loop spaces2009

    • Author(s)
      Y.Maeda
    • Organizer
      Geometry and Physics
    • Place of Presentation
      Sichuan University, Chengdu, China
    • Year and Date
      2009-06-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] Splitting curve と二面体被覆2009

    • Author(s)
      H.Tokunaga
    • Organizer
      Workshop on Galois point and related topics
    • Place of Presentation
      神奈川大学富士見高原研修所
    • Year and Date
      2009-06-06
    • Related Report
      2009 Annual Research Report
  • [Presentation] Homology of local systems on configuration spaces and conformal field theory2009

    • Author(s)
      T.Kohno
    • Organizer
      Beijing Program on Algebraic Topology 2009
    • Place of Presentation
      Chinese Academy of Sciences, Beijing
    • Year and Date
      2009-05-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] Lagrangian mean curvature flow and symplectic area2009

    • Author(s)
      赤穂まなぶ、
    • Organizer
      幾何セミナー
    • Place of Presentation
      東北大学
    • Year and Date
      2009-05-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] Tight Lagrangian surfaces in S^2×S^22009

    • Author(s)
      酒井高司
    • Organizer
      可積分系と幾何学の融合
    • Place of Presentation
      東北大学
    • Year and Date
      2009-04-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] Lagrangian mean curvature flow and symplectic area2009

    • Author(s)
      赤穂まなぶ
    • Organizer
      幾何学セミナー
    • Place of Presentation
      首都大学東京
    • Year and Date
      2009-04-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] Quantum public key cryptosystem and implementation over imaginary quadratic fields2009

    • Author(s)
      K.Nakamula
    • Organizer
      Computational Algebra Seminar
    • Place of Presentation
      Univ.of Sydney, Australia
    • Year and Date
      2009-03-12
    • Related Report
      2009 Annual Research Report
  • [Presentation] Orbifold quantum cohomology2009

    • Author(s)
      M.Guest
    • Organizer
      1st PRIMA Congress
    • Place of Presentation
      University of New South Wales, Australia
    • Related Report
      2009 Annual Research Report
  • [Presentation] Introduction to the Toda lattice2009

    • Author(s)
      M.Guest
    • Organizer
      TIMS Seminar
    • Place of Presentation
      National Taiwan University, 台湾
    • Related Report
      2009 Annual Research Report
  • [Presentation] Toda equations, meromorphic connections, and harmonic maps

    • Author(s)
      Martin Guest
    • Organizer
      Workshop on Integrable Systems and Geometric PDEs
    • Place of Presentation
      National Taiwan University
    • Related Report
      2012 Annual Research Report
  • [Presentation] Global solutions of the tt*-equations and their integral Stokes data

    • Author(s)
      Martin Guest
    • Organizer
      Singularity Theory and Integrable Systems
    • Place of Presentation
      MFI Oberwolfach,Germany
    • Related Report
      2012 Annual Research Report
  • [Presentation] Harmonic maps, Frobenius manifolds, and TERPS

    • Author(s)
      Martin Guest
    • Organizer
      Geometry Seminar
    • Place of Presentation
      University of California Irvine,USA
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Book] Advances in Quantum Field Theory2012

    • Author(s)
      Sergey Ketov
    • Total Pages
      230
    • Publisher
      InTech Open Access Publishers
    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Book] 数論アルゴリズム シリーズ〔開かれた数学〕第2巻2009

    • Author(s)
      中村 憲
    • Total Pages
      181
    • Publisher
      朝倉書店
    • Related Report
      2012 Final Research Report
  • [Book] 深谷賢治(偏)ミラー対称性入門2009

    • Author(s)
      乙藤隆史、マーティン・ゲスト
    • Publisher
      日本評論社
    • Related Report
      2009 Annual Research Report
  • [Book] 数論アルゴリズム シリーズ〔開かれた数学〕第2巻2009

    • Author(s)
      中村憲
    • Total Pages
      181
    • Publisher
      朝倉書店
    • Related Report
      2009 Annual Research Report
  • [Remarks] Martin Guest HP

    • URL

      http://www.f.waseda.jp/martin/

    • Related Report
      2012 Annual Research Report
  • [Remarks]

    • URL

      http://tmugs.math.se.tmu.ac.jp/index-j.html

    • Related Report
      2011 Annual Research Report
  • [Remarks]

    • URL

      http://tmugs.math.se.tmu.ac.jp/index-j.html

    • Related Report
      2010 Annual Research Report
  • [Remarks] ホームページ

    • URL

      http://tmugs.math.metro-u.ac.jp/

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www.comp.metro-u.ac.jp/~martin/

    • Related Report
      2009 Annual Research Report

URL: 

Published: 2009-04-01   Modified: 2019-07-29  

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