Hypergeometric Functions and Representation Theory

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.