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The tt* equations: a bridge between the differential geometry of moduli spaces and classical isomonodromy theory

Research Project

Project/Area Number 18H03668
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Review Section Medium-sized Section 11:Algebra, geometry, and related fields
Research InstitutionWaseda University

Principal Investigator

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

Co-Investigator(Kenkyū-buntansha) 細野 忍  学習院大学, 理学部, 教授 (60212198)
大仁田 義裕  大阪公立大学, 数学研究所, 特別研究員 (90183764)
Project Period (FY) 2018-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥28,990,000 (Direct Cost: ¥22,300,000、Indirect Cost: ¥6,690,000)
Fiscal Year 2022: ¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2021: ¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2020: ¥7,280,000 (Direct Cost: ¥5,600,000、Indirect Cost: ¥1,680,000)
Fiscal Year 2019: ¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2018: ¥6,110,000 (Direct Cost: ¥4,700,000、Indirect Cost: ¥1,410,000)
KeywordsIntegrable systems / Quantum cohomology / tt* equations / Isomonodromy / Geometry / tt* equations
Outline of Final Research Achievements

The research activities of this project led to several new mathematical results on the tt*-Toda equations, and to a deeper understanding of theoretical aspects of supersymmetry. All solutions on C* of the tt*-Toda equations for the Lie group G = SL(n,C) were found, and all their asymptotic data and monodromy data were computed. For any complex simple Lie group G, the asymptotic data of solutions at infinity, and their relation to Stokes data, was elucidated in Lie-theoretic terms. A physical interpretation of this data was found. Activities such as lecture series, seminars, workshops, and conferences were carried out jointly with Co-Investigators. These activities facilitated the interaction of researchers in both classical and modern methods.

Academic Significance and Societal Importance of the Research Achievements

The research results obtained during this project were published in international scientific journals. They were also made publicly available at https://arxiv.org/. They contributed to an active area of mathematical research related to physics, and to the training of young researchers.

Report

(6 results)
  • 2023 Final Research Report ( PDF )
  • 2022 Annual Research Report
  • 2021 Annual Research Report
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • 2018 Annual Research Report
  • Research Products

    (82 results)

All 2022 2021 2020 2019 2018 Other

All Int'l Joint Research (15 results) Journal Article (26 results) (of which Int'l Joint Research: 12 results,  Peer Reviewed: 26 results,  Open Access: 25 results) Presentation (29 results) (of which Int'l Joint Research: 15 results,  Invited: 14 results) Remarks (1 results) Funded Workshop (11 results)

  • [Int'l Joint Research] National Taiwan University/National Tsing-Hua University (Taiwan)(台湾)

    • Related Report
      2022 Annual Research Report
  • [Int'l Joint Research] IUPUI(米国)

    • Related Report
      2022 Annual Research Report
  • [Int'l Joint Research] Mannheim University(ドイツ)

    • Related Report
      2022 Annual Research Report
  • [Int'l Joint Research] National Taiwan University/National Tsing-Hua University (Taiwan)(その他の国・地域)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] IUPUI(米国)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] Mannheim University/Hannover University(ドイツ)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] National Taiwan University/National Tsing-Hua University (Taiwan)(その他の国・地域)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] IUPUI(米国)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Mannheim University/Hannover University(ドイツ)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] National Taiwan University/National Tsing-Hua University(台湾)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] IUPUI(米国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Mannheim University/Hannover University(ドイツ)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] National Taiwan University/National Tsing-Hua University(台湾)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] IUPUI(米国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Mannheim University/Hannover University(ドイツ)

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Positive energy representations of affine algebras and Stokes matrices of the affine Toda equations2022

    • Author(s)
      Guest Martin A.、Otofuji Takashi
    • Journal Title

      Advances in Theoretical and Mathematical Physics

      Volume: 26 Issue: 7 Pages: 2077-2093

    • DOI

      10.4310/atmp.2022.v26.n7.a3

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Parallel Kahler submanifolds and R-spaces2022

    • Author(s)
      Ohnita Yoshihiro
    • Journal Title

      Contemporary Mathematics

      Volume: 777 Pages: 163-184

    • DOI

      10.1090/conm/777/15630

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Mirror symmetry of Calabi-Yau manifolds fibered by (1,8) -polarized abelian surfaces2022

    • Author(s)
      Shinobu Hosono and Hiromichi Takagi
    • Journal Title

      Communications in Number Theory and Physics

      Volume: 16 Issue: 2 Pages: 215-298

    • DOI

      10.4310/cntp.2022.v16.n2.a1

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Quantization of simply-laced isomonodromy systems by the quantum spectral curve method2022

    • Author(s)
      Yamakawa Daisuke
    • Journal Title

      SUT Journal of Mathematics

      Volume: 58 Issue: 1 Pages: 23-50

    • DOI

      10.55937/sut/1654147040

    • Related Report
      2022 Annual Research Report 2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group2022

    • Author(s)
      Dorfmeister Josef F.、Inoguchi Jun-ichi、Kobayashi Shimpei
    • Journal Title

      Complex Manifolds

      Volume: 9 Issue: 1 Pages: 285-336

    • DOI

      10.1515/coma-2021-0141

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Timelike Minimal Surfaces in the Three-Dimensional Heisenberg Group2022

    • Author(s)
      Kiyohara Hirotaka、Kobayashi Shimpei
    • Journal Title

      The Journal of Geometric Analysis

      Volume: 32 Issue: 8 Pages: 225-225

    • DOI

      10.1007/s12220-022-00962-8

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] 量子コホモロジー -今なお有用だろうか-, 数学2022

    • Author(s)
      Guest Martin
    • Journal Title

      数学

      Volume: 74 Pages: 113-132

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Connection Problem for the Generalized Hypergeometric Function2021

    • Author(s)
      Matsuhira Yuya、Nagoya Hajime
    • Journal Title

      Funkcialaj Ekvacioj

      Volume: 64 Issue: 3 Pages: 323-348

    • DOI

      10.1619/fesi.64.323

    • NAID

      130008131802

    • ISSN
      0532-8721
    • Year and Date
      2021-12-15
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Polytopes, supersymmetry, and integrable systems2021

    • Author(s)
      Guest Martin、Ho Nan-Kuo
    • Journal Title

      Josai Math. Monographs

      Volume: 13 Pages: 109-137

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Gromov-Witten invariants of local P2 and modular forms2021

    • Author(s)
      Coates, Tom; Iritani, Hiroshi
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: 61 Issue: 3 Pages: 543-706

    • DOI

      10.1215/21562261-2021-0010

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] The spinor and tensor fields with higher spin on spaces of constant curvature2021

    • Author(s)
      Yasushi HOMMA, Takuma TOMIHISA
    • Journal Title

      Annals of Global Analysis and Geometry

      Volume: 60 Issue: 4 Pages: 829-861

    • DOI

      10.1007/s10455-021-09791-4

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Spectra of the Rarita-Schwinger operator on some symmetric spaces.2021

    • Author(s)
      Homma Yasushi、 Tomihisa Takuma
    • Journal Title

      J. Lie Theory

      Volume: 31 Pages: 249-264

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Topological-antiopological fusion and the quantum cohomology of Grassmannians2021

    • Author(s)
      Martin A. Guest
    • Journal Title

      Japanese J. Math.

      Volume: 16 Issue: 1 Pages: 155-183

    • DOI

      10.1007/s11537-020-2036-7

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Timelike minimal Lagrangian surfaces in the indefinite complex hyperbolic two-space.2021

    • Author(s)
      Dorfmeister, Josef F., Kobayashi Shimpei
    • Journal Title

      Annali di Matematica Pura ed Applicata. Series IV

      Volume: 200 Issue: 2 Pages: 521-546

    • DOI

      10.1007/s10231-020-01005-1

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] K3 surfaces from configurations of six lines in P2 and mirror symmetry I2020

    • Author(s)
      Shinobu Hosono and Hiromichi Takagi
    • Journal Title

      Communications in Number Theory and Physics

      Volume: 14 Issue: 4 Pages: 739-783

    • DOI

      10.4310/cntp.2020.v14.n4.a2

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Derived categories of Artin-Mumford double solids2020

    • Author(s)
      Hosono Shinobu、Takagi Hiromichi
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: 60 Issue: 1 Pages: 107-177

    • DOI

      10.1215/21562261-2019-0036

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Isomonodromy aspects of the tt* equations of Cecotti and Vafa III. Iwasawa factorization and asymptotics2020

    • Author(s)
      Martin Guest, A. R. Its, C.-S. Lin
    • Journal Title

      Commun. Math. Phys

      Volume: 374 Issue: 2 Pages: 923-973

    • DOI

      10.1007/s00220-019-03559-5

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] K3 surfaces from configurations of six lines in P2 and mirror symmetry II-- λK3 -functions2019

    • Author(s)
      S. Hosono, B.H. Lian and S.-T. Yau
    • Journal Title

      International Mathematics Research Notices

      Volume: - Issue: 17 Pages: 13231-13281

    • DOI

      10.1093/imrn/rnz259

    • Related Report
      2021 Annual Research Report 2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Kostant, Steinberg, and the Stokes matrices of the tt*-Toda equations2019

    • Author(s)
      Martin Guest, Nan-Kuo Ho
    • Journal Title

      Selecta Math., published online

      Volume: - Issue: 3

    • DOI

      10.1007/s00029-019-0494-7

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] MINIMAL MASLOV NUMBER OF R-SPACES CANONICALLY EMBEDDED IN EINSTEIN-KAHLER C-SPACES2019

    • Author(s)
      Yoshihiro Ohnita, Reiko Miyaoka
    • Journal Title

      Complex Manifolds

      Volume: 18 Issue: 08 Pages: 1-19

    • DOI

      10.1515/coma-2019-0016

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2016871

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] LAGRANGIAN GEOMETRY OF THE GAUSS IMAGES OF ISOPARAMETRIC HYPERSURFACES IN SPHERES2019

    • Author(s)
      Reiko Miyaoka and Yoshihiro Ohnita
    • Journal Title

      Complex Manifolds

      Volume: 18 Issue: 07 Pages: 1-19

    • DOI

      10.1515/coma-2019-0013

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2016870

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Movable vs monodromy nilpotent cones of Calabi-Yau manifolds2018

    • Author(s)
      Hosono, Shinobu; Takagi, Hiromichi
    • Journal Title

      SIGMA Symmetry Integrability Geom. Methods Appl.

      Volume: 14 Pages: 039-37

    • DOI

      10.3842/sigma.2018.039

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A Fock sheaf for Givental quantization2018

    • Author(s)
      Tom Coates, Hiroshi Iritani
    • Journal Title

      Kyoto J. Math.

      Volume: 58 Issue: 4 Pages: 695-864

    • DOI

      10.1215/21562261-2017-0036

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] The crepant transformation conjecture for toric complete intersections2018

    • Author(s)
      Tom Coates, Hiroshi Iritani, Yunfeng Jiang
    • Journal Title

      Adv. Math.

      Volume: 329 Pages: 1002-1087

    • DOI

      10.1016/j.aim.2017.11.017

    • NAID

      120006501303

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Irregular conformal blocks and connection formulae for Painleve V functions2018

    • Author(s)
      O. Lisovyy, H. Nagoya, J. Roussillon
    • Journal Title

      Journal of Mathematical Physics

      Volume: 59 Issue: 9

    • DOI

      10.1063/1.5031841

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Massive vector multiplet with Dirac-Born-Infeld and new Fayet-Iliopoulos terms in supergravity2018

    • Author(s)
      Abe Hiroyuki、Aldabergenov Yermek、Aoki Shuntaro、Ketov Sergei V.
    • Journal Title

      Journal of High Energy Physics

      Volume: 2018 Issue: 9 Pages: 0-21

    • DOI

      10.1007/jhep09(2018)094

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] Toda and Higgs2022

    • Author(s)
      Guest Martin
    • Organizer
      RIMS Workshop: Applications of Harmonic Maps and Higgs Bundles to Differential Geometry
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Asymptotic data and Stokes data for the tt*-Toda equations, and some relations with physics2022

    • Author(s)
      Guest Martin
    • Organizer
      Saint-Petersburg Conference in Spectral Theory and Mathematical Physics
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Hamiltonian aspects of the tt*-Toda equations2022

    • Author(s)
      Guest Martin
    • Organizer
      Web-seminar on Painleve Equations and related topics
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Asymptotic data and Stokes data for the tt*-Toda equations, and some relations with physics2022

    • Author(s)
      Guest Martin
    • Organizer
      Beijing-Novosibirsk Seminar on Geometry and Mathematical Physics, online
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Asymptotic data and Stokes data for the tt*-Toda equations, and some relations with physics2022

    • Author(s)
      Martin Guest
    • Organizer
      Beijing-Novosibirsk Seminar on Geometry and Mathematical Physics, online
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Asymptotic data and Stokes data for the tt*-Toda equations, and some applications2022

    • Author(s)
      Martin Guest
    • Organizer
      17th Algebra, Analysis and Geometry Seminar, Kagoshima University, online
    • Related Report
      2021 Annual Research Report
  • [Presentation] Quantum cohomology: is it still relevant?2021

    • Author(s)
      Martin Guest
    • Organizer
      Autumn Meeting of the Mathematical Society of Japan, Chiba University, online
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Topological-antitopological fusion and Higgs bundles2021

    • Author(s)
      Martin Guest
    • Organizer
      Workshop on Toda equations, parabolic Higgs bundles, and related topics, Waseda University, online
    • Related Report
      2021 Annual Research Report
  • [Presentation] Asymptotics of solutions of the tt*-Toda equations and some relations with physics2021

    • Author(s)
      Martin Guest
    • Organizer
      Applied Analysis Seminar, Waseda University, online
    • Related Report
      2021 Annual Research Report
  • [Presentation] Polytopes, supersymmetry, and integrable systems2020

    • Author(s)
      Martin Guest
    • Organizer
      Colloquium (Indiana University Purdue University Indianapolis)
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Hamiltonian aspects of the tt*-Toda equations2019

    • Author(s)
      Martin Guest
    • Organizer
      Workshop on Hamiltonian systems and Lie groups, Waseda University
    • Related Report
      2019 Annual Research Report
  • [Presentation] The (enhanced) Coxeter Plane: an application of differential equations to Lie theory2019

    • Author(s)
      Martin Guest
    • Organizer
      Colloquium, Tokyo University of Science
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] The tt* equations: monodromy-preserving deformations (Painleve theory) and DPW (harmonic map theory)2019

    • Author(s)
      Martin Guest
    • Organizer
      66th Geometry Symposium, Nagoya University
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] A loop group approach to finding global solutions of the tt* equations2019

    • Author(s)
      Martin Guest
    • Organizer
      Integrable Systems and Harmonic Maps, Technical University of Vienna
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Minimal Maslov number of R-spaces canonically embedded in Einstein-Kahler C-spaces2019

    • Author(s)
      Yoshihiro Ohnita
    • Organizer
      Variational Problems and the Geometry of Submanifolds (Centre International de Rencontres Mathematiques, Luminy, France)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Lagrangian geometry of the Gauss images of isoparametric hypersurfaces2019

    • Author(s)
      Yoshihiro Ohnita
    • Organizer
      Workshop on Isoparametric Theory (Beijing Normal University, China)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Minimal Maslov number of R-spaces canonically embedded in Einstein-Kahler C-spaces2019

    • Author(s)
      Yoshihiro Ohnita
    • Organizer
      22nd International Workshop on Differential Geometry of Submanifolds in Symmetric Spaces and Related Problems (Kyungpook National University, Daegu, Korea)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Movable vs Monodromy nilpotent cones in mirror symmetry of Calabi-Yau manifolds2019

    • Author(s)
      Shinobu Hosono
    • Organizer
      International Workshop on Derived Categories and Related Topics (Sun Yat-sen University, Guangzhou, China)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] K3 analogues of the elliptic lambda function from a double cover family of K3 surfaces2019

    • Author(s)
      Shinobu Hosono
    • Organizer
      Interaction Between Algebraic Geometry and QFT (Moscow Institute of Physics and Technology, Russia
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Minimal Maslov number of R-spaces canonically embedded in Einstein-Kaehler C-spaces2019

    • Author(s)
      Ohnita Yoshihiro
    • Organizer
      Variational Problems in Geometry and Mathematical Physics, UK-Japan Winter School 2019, Leeds University
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The tt*-Toda equations2018

    • Author(s)
      Guest Martin
    • Organizer
      Yorkshire and Durham Geometry Day, Leeds University, UK
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The Coxeter Plane and the tt*-Toda equations2018

    • Author(s)
      Guest Martin
    • Organizer
      Symplectic Geometry Seminar, ETH Zurich, Switzerland
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Some geometric applications of meromorphic o.d.e. with irregular singular points2018

    • Author(s)
      Guest Martin
    • Organizer
      Pure Mathematics Colloquium, University of Hamburg, Germany
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] The enhanced Coxeter Plane - an application of integrable systems to Lie groups2018

    • Author(s)
      Guest Martin
    • Organizer
      The 5th workshop "Complex Geometry and Lie Groups", University of Florence, Italy
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The tt*-Toda equations2018

    • Author(s)
      Guest Martin
    • Organizer
      Geometry and Topology Seminar, University of Stuttgart,Germany
    • Related Report
      2018 Annual Research Report
  • [Presentation] The enhanced Coxeter Plane2018

    • Author(s)
      Guest Martin
    • Organizer
      Geometry Seminar, University of Mannheim, Germany
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Quantum cohomology and reality2018

    • Author(s)
      Guest Martin
    • Organizer
      Symplectic Geometry Seminar, ETH Zurich, Switzerland
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Geometry of Harmonic Maps and Integrable System Approach2018

    • Author(s)
      Ohnita Yoshihiro
    • Organizer
      Mini-Workshop on Geometry and Mathematical Science, Osaka City University
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] アインシュタイン-ケーラーC-空間に標準的に埋め込まれたR-空間の最小マスロフ数2018

    • Author(s)
      大仁田義裕
    • Organizer
      水戸幾何セミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Remarks] Martin Guest HP

    • URL

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

    • Related Report
      2021 Annual Research Report 2020 Annual Research Report 2019 Annual Research Report 2018 Annual Research Report
  • [Funded Workshop] Applications of Harmonic Maps and Higgs Bundles to Differential Geometry2022

    • Related Report
      2022 Annual Research Report
  • [Funded Workshop] Geometry, Stochastics & Dynamics: Celebrating 20 years of UK-Japan Winter Schools2022

    • Related Report
      2022 Annual Research Report
  • [Funded Workshop] 2nd Shot of The 13th MSJ-SI "Differential Geometry and Integrable Systems" and 5th International Workshop "Geometry of Submanifolds and Integrable Systems"2022

    • Related Report
      2022 Annual Research Report
  • [Funded Workshop] Online workshop on "Modular Forms in Geometry and Physics"2022

    • Related Report
      2022 Annual Research Report
  • [Funded Workshop] Differential Geometry and Integrable Systems2022

    • Related Report
      2021 Annual Research Report
  • [Funded Workshop] Special Geometry, Mirror Symmetry, and Integrable Systems2021

    • Related Report
      2021 Annual Research Report
  • [Funded Workshop] The 27th Osaka City University International Academic Symposium: Mathematical Science of Visualization, and Deepening of Symmetry and Moduli2021

    • Related Report
      2020 Annual Research Report
  • [Funded Workshop] The 2nd Taiwan-Japan Joint Conference on Differential Geometry 1-5 November 2019, NCTS, National Taiwan University, Taiwan.2019

    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] The 3rd International Workshop "Geometry of Submanifolds and Integrable Systems, 2-6 December 2019, OCAMI, Osaka City University2019

    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] Variational problems in Geometry and Mathematical Physics UK-Japan Winter School, University of Leeds, UK2019

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] The 2nd International Conference on Geometry of Submanifolds and Integrable Systems, Osaka City University2019

    • Related Report
      2018 Annual Research Report

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Published: 2018-04-23   Modified: 2025-01-30  

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