Workshop ``Integrable Systems, Random Matrices, Algebraic Geometry and Geometric Invariants''

This workshop is supported by the Japan Society of Promotion of Sciences and the Russian Foundation for Basic Research under the Japan-Russia Research Cooperative Project.

Date: 15-17 December 2010

Place: Kyoto University, Yoshida South Campus, Graduate School of Human and Environmental Studies Bldg, room 226 (2nd Floor)

Access map: http://www.kyoto-u.ac.jp/en/access/campus/y_south.htm

Organizers:

Kanehisa Takasaki (Kyoto University, Graduate School of Human and Environmental Studies)
Takahiro Shiota (Kyoto University, Department of Mathematics)
Takashi Takebe (Higher School of Economics, Faculty of Mathematics, Moscow)

Program

Wednesday, 15 December 2010

14:30-15:00 Takashi Takebe (Higher School of Economics, Faculty of Mathematics, Moscow)

Integrable hierarchies and dispersionless limits

15:15-15:45 Sho Matsumoto (Nagoya University, Graduate School of Mathematics)

Unitary matrix integrals and enumerations of permutations

16:00-16:30 Masahide Manabe (Nagoya University, Graduate School of Mathematics)

Topological String and Topological Recursion

17:00-18:00 S. Lando (Higher School of Economics, Faculty of Mathematics, Moscow)

Geometry of Hurwitz spaces and Hodge integrals

Thursday, 16 December 2010

Morning: Free discussion

14:00-14:30 Akishi Ikeda (the University of Tokyo, Graduate School of Mathematical Sciences)

TBA (On relations of matrix models and Hurwitz numbers)

14:45-15:15 Shinsuke Iwao (the University of Tokyo, Graduate School of Mathematical Sciences)

Ultradiscrete periodic KP equation

15:30-16:00 Satoshi Kondo (the University of Tokyo, Institute for the Physics and Mathematics of Universe)

Expressions of local L factors and epsilon factors in terms of Hecke eigenvalues

16:15-16:45 Yasuhide Numata (the University of Tokyo, School of Engineering)

On a moments formula of the Wishart distributions

17:00-18:00 M. Kazarian (Steklov Mathematical Insitute, Moscow)

Intersection theory on moduli spaces and Sato Grassmannian

Friday, 17 December 2010

9:30-10:00 Toru Ohmoto (Hokkaido University, Department of Mathematics)

Chern class for singular spaces

10:15-10:45 Takahiro Shiota (Kyoto University, Department of Mathematics)

TBA (On matrix integrals and integrable systems)

11:00-11:30 Shintaro Yanagida (Kobe University, Department of Mathematics)

Ding-Iohara algebra

11:45-12:15 Kanehisa Takasaki (Kyoto University, Graduate School of Human and Environmental Studies)

Generalized string equations of Toda hierarchy for double Hurwitz numbers