2005 Turkey

2005 TURKEY

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Galatasaray University, Istanbul (Turkey) Click on picture to enlarge it
Scientific report (in French, pdf) Local web site: http://agahf.gsu.edu.tr/

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CIMPA-UNESCO-TURKEY School

Arithmetic and Geometry around Hypergeometric Functions

Objectives :

The aim of the school is the presentation of hot topics in the field in a form accessible to research students, and revival of the interest in the field by highlighting possible new research directions. There will be minicourses on hypergeometric differential equations and related topics such as discrete groups in the automorphism groups of complex balls, ball quotients, orbifolds and corresponding moduli problems of algebraic geometry. Quotient of a ball under a discrete group action is called a ball-quotient. If the group action has some fixed points, then the corresponding ball-quotient is a complex orbifold. These orbifolds are related to some very special hyperplane arrangements in complex projective spaces. Frequently, ball quotients has an interpretation as a moduli space of algebraic surfaces. There will be a special focus on recent developments about this moduli interpretation.

Scientific Advisory Board:

F. Hirzebruch (Max Planck Institute Bonn, Germany), R.P. Holzapfel (Humboldt University Berlin, Germany), M. Yoshida (Kyushu University, Japan), E. Looijenga (Utrecht University, Holland), M. Jambu (Nice University, France), L. D. Trang (ICTP Trieste, Italy), P. Cohen (Texas A\&M University, USA), I. Dolgachev (University of Michigan, USA), S. Kondo (Nagoya University, Japan).

Organizers:

Ö. Ceyhan (MPIfM Bonn, Germany), L. Chaumard (GSU Istanbul, Turkey), Ö. Kisisel (METU Ankara, Turkey)
A. M. Uluda g (GSU Istanbul, Turkey), A. Ulus (GSU Istanbul, Turkey)

Working languages:

English

Date and location :

June 13-25, 2005, Galatasaray University, Istanbul (Turkey)

Scientific programme and speakers:

Moduli spaces as ball quotients: I. Dolgachev (University of Michigan, USA)
Orbital Varieties and Invariants: R.P. Holzapfel (Humboldt University Berlin, Germany)
Arrangements of Hyperplanes: M. Jambu (Nice University, France)
Complex ball uniformizations of the moduli spaces of del Pezzo surfaces: S. Kondo (Nagoya University, Japan)
Hypergeometric functions associated to arrangements: E. Looijenga (Utrecht University, Holland)
Hypergeometric differential equations and theta functions: H. Shiga
Gel'fand-Kapranov-Zelevinsky hypergeometric systems and their role in mirror symmetry in string theory: J. Stienstra
Introduction to coverings of the plane branched along line arrangements and ball-quotient surfaces: A. M. Uluda g (GSU Istanbul, Turkey)
Special functions, KZ type equations, and representation theory: A. Varchenko
Triangle functions with accessory parameters: J. Wolfart
Schwarz maps: M. Yoshida (Kyushu University, Japan)

Prerequisites :

Research students (Ms. Sci, DEA, Ph.D., Post-doctoral) with a basic knowledge of algebraic geometry can attend the school.