Objectives:

Research and study of hypergeometric functions began from 17th century. Mathematicians like Gauss, Euler and Kummar are pioneers of the theory. Hypergeometric functions are applied in many areas of mathematics including representation theory, mathematical physics and etc. Beginning of the representation theory goes to the late 1800s. It uses many concepts of many branches of modern mathematics. Relationships between representation theory and hypergeometric functions are very tight, for example, coefficients of the representation matrices are usually described by hypergeometric functions. A representation-theoretic approach to hypergeometric functions was developed during the period of 1930 to 1950-s. The essence of this approach is the fact that most hypergeometric functions can be obtained as suitable specializations of matrix elements or characters of representations of groups. The school will focus on theory of hypergeometric functions, representation theory and representation-theoretic approaches to hypergeometric functions. The school intends to promote young researchers in Mongolia and other countries. Graduate students and young researchers of Mongolia, from Asian countries and students from other countries like Europe, Japan and America are welcomed.

Scientific committee
  • Amartuvshin Amarzaya (National University of Mongolia, Mongolia) zaya_math at yahoo.com
  • Michel Jambu (University of Nice, France) jambu at unice.fr
  • Abish Mekei (National University of Mongolia, Mongolia) mekei at yahoo.com
  • Hiroyuki Ochiai (Kyushu University, Japan) ochiai at imi.kyushu-u.ac.jp
  • Vandansuren Adiyasuren (National University of Mongolia, Mongolia)
Local Organizing Committee
  • Amarzaya Amartuvshin, National University of Mongolia, Mongolia
  • Bayarpurev Mongol, National University of Mongolia, Mongolia
  • Bayarmagnai Gombosuren, National University of Mongolia, Mongolia
  • Tumurbat Sodnomkhorloo, National University of Mongolia, Mongolia
  • Uuganbayar Zunderiya, National University of Mongolia, Mongolia
Date and Location

The conference will take place on August 5-16th at the Mongolia-Japan center in Ulaanbaatar, Mongolia.

Courses

All courses will be given in English.

  • Michel Jambu, University of Nice, France : Hypergeometric Functions and Arrangements of Hyperplanes
  • Toshiyuki Kobayashi, The University of Tokyo, Japan : Analysis of Minimal Representations
  • Hiroyuki Ochiai, Kyushu University, Japan : Hypergeometric Functions
  • Salem Ben Said, University of Nancy, France : Dunkl Operator in Relation with Genenralized Bessel Functions
  • Uuganbayar Zunderiya, National University of Mongolia : Hypergeometric Functions

Administrative and Scientific Coordinators :

  • Michel Jambu (University of Nice, France) jambu at unice.fr
  • Uuganbayar Zunderiya (National University of Mongolia, Mongolia) zunderiya at gmail.com
  • Abish Mekei (National University of Mongolia, Mongolia) mekei at yahoo.com