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Texas A&M University
Mathematics

Events for 03/24/2022 from all calendars

Number Theory Seminar

iCal  iCal

Time: 10:00AM - 11:00PM

Location: BLOC 302

Speaker: Kwun Angus Chung, University of California at San Diego

Title: Universal families of Eulerian multiple zeta values in positive characteristics

Abstract: Classically, multiple zeta values are generalizations of the special values of the Riemann zeta function. These real numbers have shown to be useful in several theories in mathematics and physics. In this talk, we will investigate a function field analogue of multiple zeta values. We compute the multiple zeta values associated to a general curve of any genus with an Fq rational point. This generalizes a work of Lara Rodriguez and Thakur, who gave a calculation to a special case and conjectured some generalizations. To achieve our result, we obtain a non-commutative factorization of the exponential function associated to a Hayes module. The non-commutative side is made up of partial sums of zeta values. Thus the factorization allows us to compute certain multiple zeta values, and shows that they are, upon dividing by some Hayes period, algebraic. This is a joint work with Tuan Ngo-Dac and Federico Pellarin.