Algebraic hypergeometric functions

by Prof. Frits Beukers (Utrecht University, Netherlands)

Thursday 14 Feb 2013, 16:00 → 17:00 Asia/Kolkata

AG-69 (Colaba Campus)

ABSTRACT: In this lecture we start with the classical hypergeometric function studied by Gauss. A classical result by H.A.Schwarz gives a classification of all such functions which are at the same time algbraic functions. We will discuss extensions of this result to the several variable case, known as A-hypergeometric functions, defined around 1989 by Gel'fand, Kapranov and Zelevinsky.