Time: 10:00 - 11:00, February 28, 2019

Venue: Room 402, Mathematical Building

Speaker: Dali Shen (Shanghai Center of Mathematical Sciences, Fudan University)

Abstract: It has been a long history, since Schwarz, that one of ways to search for a complex hyperbolic lattice is closely related to understanding the monodromy group of a hypergeometric system. In this talk, I will review the work of Schwarz and Klein on the classical Euler-Gauss hypergeometric functions, as well as the Deligne-Mostow theory on Lauricella hypergeometric functions. Then I will discuss a recent progress on this direction, inspired by the root system hypergeometric functions constructed by Heckman-Opdam.