Elliptic integrable systems

RIMS Project Research 2004
Method of Algebraic Analysis in Integrable Systems

Date and Location

November 8 - 11, 2004
"Daikaigishitsu" (in Faculty of Sience Bldg. No. 3), Department of Mathematics, Kyoto University


day (1)(2)(3)(4) (5)
Mon Nov 08 Ru1Ru2Sp1 A1 A2 A3
Tue Nov 09 OlZovDSp2 B1 B2 B3
Wed Nov 10 Zh1Zh2OhTa C1 C2 C3
Thu Nov 11 Ra1Ra2YaD1 D2 D3
(1) 9:30-10:30 (2) 10:45-11:45 (3) 13:00-14:00 (4) 14:15-15:15
(5) 15:30-17:00 short talks (30min-45min)


Monday, November 08

[Ru1,Ru2] Simon Ruijsenaars (CWI, Amsterdam)
Elliptic Calogero-Moser type systems: 1. Survey, 2. Special topics
[Sp1] Vyacheslav Spiridonov (JINR, Dubna and MPI, Bonn)
Classical elliptic hypergeometric functions and their applications 1
[A1] Kouichi Takemura (Yokohama CU)
Heun equation and Painleve equation
[A2] Yasushi Komori (Nagoya)
Elliptic Ruijsenaars operators and elliptic hypergeometric integrals
[A3] Satoru Odake (Sinshu)
Equilibria of `discrete' integrable systems and deformations of classical orthogonal polynomials

Tuesday, November 09

[Ol] Mikhail Olshanetsky (ITEP, Moscow)
Isomonodromic deformations and elliptic tops
[Zo] Andrei Zotov (ITEP, Moscow)
Elliptic form of PVI and reflection equation
[vD] Jan Felipe van Diejen (Univerisity of Talca, Chile)
Elliptic hypergeometric sums and integrals (jointly with S.Spiridonov)
[Sp2] Vyacheslav Spiridonov (JINR, Dubna and MPI, Bonn)
Classical elliptic hypergeometric functions and their applications 2
[B1] Yuji Shimizu (ICU, Tokyo)
On deformation of elliptic quantum plane
[B2] Hitoshi Konno (Hiroshima)
Elliptic quantum groups, the vertex-face correspondence and elliptic 6-j symbols
[B3] Yas-Hiro Quano (Suzuka)
Form factors and vertex operators in the XYZ antiferromagnet

Wednesday, November 10

[Zh1,Zh2] Alexei Zhedanov (DIPT, Donietsk)
Generalized eigenvalue problems, multipoint Pade interpolation, dynamical algebras and biorthogonal rational functions (two lectures)
[Oh] Yasuhiro Ohta (Kobe)
Elliptic Painleve equation: I. Bilinear formalism
[Ta] Kanehisa Takasaki (Kyoto)
Elliptic soliton equations and Sato Grassmannian
[C1] Olena Korovnichenko
Leonard triples in classical and quantum cases
[C2] Yasushi Kajihara (Osaka)
Multiple elliptic hypergeometric series --An approach from the Cauchy determinant and thier symmetry--
[C3] Soichi Okada (Nagoya)
Generalizations of Cauchy's determinant identity and Schur's Pfaffian identity

Thursday, November 11

[Ra1,Ra2] Eric Rains (UC Davis)
Symmetries and recurrences of elliptic hypergeometric integrals (two lectures)
[Ya] Yasuhiko Yamada (Kobe)
Elliptic Painleve equation: II. Geometric description
[D1] Masahiko Itoh (Aoyama Gakuin, Tokyo)
q-difference shift for BC type Jackson integrals arising from 'elementary' symmetric polynomials
[D2] Michael Schlosser (Vienna)
Multidimensional matrix inversions and elliptic hypergeometric series on root systems


Masatoshi Noumi (Kobe)
Kanehisa Takasaki (Kyoto)


Home page of RIMS Project Research 2004
Quantum Integrable Systems and Infinite Dimensional Algebras(February 4-10, 2004)
Recent Trends in Exponential Asymptotics (June 28 - July 2, 2004)
Solvable lattice models 2004 (July 20-23, 2004)
Mathematical aspects of string theory (July 26 - July 30, 2004)
Combinatorial Aspect of Integrable Systems (July 26 - July 30, 2004)
Tropical Algebraic Geometry and Tropical Combinatorics (August 9--13, 2004)
Representation Theory and Geometry (August 12--13, 2004)