Perlen-Kolloquium: Frits Beukers (Utrecht University)

A-hypergeometric functions

Ever since their inception by Euler and Gauss, hypergeometric functions have appeared in many different branches of mathematics and mathematical physics. The concept hypergeometric function has also been generalized in many different directions. In the end of the 1980's Gel’fand, Kapranov and Zelevinski formulated an elegant framework of so-called A-hypergeometric functions, which encompasses many of the several variable hypergeometric functions. In this lecture we explain the concept of A-hypergeometric function and describe some recent developments on the determination of their monodromy group. The latter gives a conceptual insight into the many relations that exist between hypergeometric functions. 

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