SEMINAR: A new class of Drinfeld hypergeometric functions...14-12-2020
Speaker: Ahmad El-Guindy
Title: A new class of Drinfeld hypergeometric functions related to modular identities
Date/Time: 16 December 2020/ 13:40 - 14:30
Zoom: Meeting ID: 957 8241 1344
Abstract: In the classical theory of elliptic curves and modular forms there are important and beautiful connections with the theory of hypergeometric functions. For instance they arise in computing periods and supersingular polynomials, in the study of certain natural families of differential equations of arithmetic significance, and in formulas connecting modular forms of varying weights. In this talk , we explore similar questions over function fields in the setting of Drinfeld modules and modular forms, and we discuss some of the parallels and differences, as well as some open questions.
Bio: Ahmad El-Guindy obtained his BSc in mathematics from Cairo University in 1998 and his PhD from the University of Wisconsin at Madison in 2004. He held visiting positions at Texas A&M University (2004-2008) and Texas A&M University at Qatar (2010-2018) and is currently professor of mathematics at Cairo University. His work focuses on the study of modular forms and related topics both in the classical setting and over function fields.