International Conference <P> on <P> Geometry of Moduli spaces and Integrable Systems

Geometry of Moduli spaces and Integrable Systems

September 3 (Mon)- 7 (Fri), 2001

RIMS, KYOTO UNIVERSITY, (ROOM 420)

The main goal of the conference is to understand the recent developments and interactions between geometry of moduli spaces and integrable systems. We will discuss the topic including:

  • Frobenius structure or flat structure due to B. Dubrovin and K. Saito.
  • Isomonodrmic deformation of linear differential operators and Painleve systems and Garnier systems.
  • Algebraic geometry of spaces of initial conditions for NDE.
  • Discrete Painlev\'e systems and other topics.
  • Geometry of moduli spaces of Higgs bundles, Hitchin systems and related topics.
  • Representation theory and its relation to integrable systems.
  • Relation to Quantum cohomology, etc.

    • Organizers

  • Hironobu Kimuura (Kumamoto)
  • Yosuke Ohyama (Osaka)
  • Kazuo Okamoto(Tokyo)
  • Masa-Hiko Saito (Kobe)
  • Kyoji Saito (RIMS)
  • Takeshi Sasaki (Kobe)
  • Kyoichi Takano (Kobe)
  • Yasuhiko Yamada (Kobe)

    The Program (Changed) : dvi , ps , tex

    The program was changed: K. Iwasaki's talk was moved to September 4. M.H. Saito's talk was moved to September 6.

    List of Invited Speakers and Titles of Talks:

  • Boris Dubrovin (SISSA, Trieste) :

    Almost duality for Frobenius manifolds with some applications

  • Hidetaka Sakai (Tokyo) :

    Elliptic-difference Painlev\'e equation

  • Philip Boalch (SISSA, Trieste) :

    Stokes matrices, Poisson Lie groups and Frobenius manifold

  • Alexander Kitaev (St. Petersburg)

    On Algebraic Solutions and Higher Order Transformations for Special Functions of the Isomonodromy Type

  • Kyoji Saito (RIMS) :

    Elliptic flat structure and elliptic Lie group

  • Katsunori Iwasaki (Kyushu) :

    Geometry of isomonodromic deformations

  • Yasuhiko Yamada (Kobe) :

    Tropical and ultra-discrete Painlev\'e equations

  • Eyal Markman (Amherst):

    On the algebraic-geometry of the Classical Dynamical Yang-Baxter Equation

  • Kanehisa Takasaki (Kyoto) :

    Isomonodromic deformations with Calogero degrees of freedom

  • Vladimir Kostov (Nice)

    On the Deligne-Simpson problem

  • Masa-Hiko Saito (Kobe) :

    TBA

  • Takashi Takebe (Ochayanomizu) ：

    Separation of Variables in the Elliptic Gaudin Model

  • Tamas Hausel (Berkeley) :

    Mirror symmetry, Langlands duality and Hitchin system

  • Jacques Hurtubise (Montreal):

    The geometry of the Sklyanin bracket.

  • Yousuke Ohyama (Osaka) :

    Special Solutions of Painlev\'e-Garnier systems

    • Short communications

  • Hitomi Terajima (Kobe):

    Nodal Curves and Riccati Solution s for Painlev\'e equations

  • Shoji Okumura (Osaka):

    The self-dual metrics from Painlev\'e equations

  • Teruhisa Tuda (Tokyo):

    Folding transformations of the Painlev\'e equations

  • Toshiyuki Mano (Kyoto):

    Differential equations for Hilbert modular forms of ${\bf Q}(\sqrt{2})$