Workshop on Hypergeometric Systems in Kobe '97

December 1 (Mon)-- 4 (Thu), 1997
Takigawa Memorial Hall, Kobe University
Organized by : K.Takano and M.Noumi

This is a meeting of researchers and students in Japan who are working in various fields of mathematics related to hypergeometric functions and hypergeometric equations. This workshop is going to be held every year on the first week of December. The main idea of this workshop is to activate communication among researchers who are interested in the same subject, but come from different research fields.

PROGRAM

December 1 (Mon)

Yasuhiko YAMADA (Kobe) 13:30-14:30
Symmetry of Painleve equations

Norihiko NARUMIYA (Chiba) 14:40-15:10
The mirror map for a family of K3 surfaces induced from the simplest reflexive polytope

Kenji KOIKE (Chiba) 15:20-15:50
Some results on K3 surfaces arising from 3-dimensional reflexive polytopes

Mitsuo KATO (Ryukyu) 16:00-17:00
The projective monodromy group of a 3F2 as a quotient of a triangular group -- the case of a crystallographic group

December 2 (Tue)

Tadashi TANIGUCHI (Keio) and Takashi NITTA (Mie) 9:30-10:20
L_2-Metrics on the moduli space of k-instantons over S^4 and hypergeometric integrals

Yves ANDRE (Pari VI) 10:30-11:30
Arithmetic aspects of hypergeometric functions I

Bernd STURMFELS (Berkeley) 13:00-14:00
Groebner bases and A-hypergeometric functions I

Katsunori IWASAKI (Kyushu) 14:15-15:15
Cohomology groups attached to difference equations and the contiguity relations of hypergeometric equations

Masatoshi NOUMI (Kobe) 15:30-16:30
On the singular locus of the differential equation for Lauricella's F_C

December 3 (Wed)

Masakazu MURO (Gifu) 9:30-10:20
Evaluation of singular integrals associated with the Siegel integrals on the cones of real symmetric matrices

Yves ANDRE (Pari VI) 10:30-11:30
Arithmetic aspects of hypergeometric functions II

Bernd STURMFELS (Berkeley) 13:00-14:00
Groebner bases and A-hypergeometric functions II

Kanehisa TAKASAKI (Kyoto) 14:15-15:15
Gaudin models, KZ equations and monodromy-preserving deformations on tori

Shoji OKUMURA (Osaka) 15:30-16:15
Self-dual equations and the classical solutions of Painleve VI

December 4 (Thu)

Mathijs Dijkhuizen (Kobe) 9:30-10:15
Quantization of symplectic brackets and q-Racah polynomials

Masahiko ITO (Nagoya) 10:20-11:05
q-Difference equations for Jackson integrals of Selberg type and the Gauss decompositions of matrices

Yasushi KAJIHARA (Kobe) 11:10-11:30
Raising operators of row type for Macdonald polynomials

Keiji MATSUMOTO (Hiroshima) 13:00-14:00
Prospects of intersection theory

Katsuhisa MIMACHI (Kyushu) 14:10-15:00
Around integral representations of Macdonald polynomials

NB) Many of the titles above are translations from Japanese by M.N.

Organized by: Kyoichi TAKANO and Masatoshi NOUMI
Department of Mathematics, Kobe University