Number Theory Seminar

Date: October 26, 2016

Time: 1:45PM - 2:45PM

Location: BLOC 220

Speaker: Fang-Ting Tu, Lousiana State University

Title: Hypergeometric functions over finite fields

Abstract: Based on the developments of many people, hypergeometric functions over finite fields are known to be related to various arithmetic objects. In this talk, we will discuss the hypergeometric functions over finite fields (HF) in a manner that is parallel to the classical hypergeometric functions. Due to the Galois perspective of HF and an explicit dictionary, we systematically translate certain types of classical hypergeometric transformations to the finite field version. As an application, we study the arithmetic of hypergeometric varieties using transformation and evaluation formulas of HF.

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