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Texas A&M Number Theory Seminar

Department of Mathematics
Blocker 220
Wednesdays, 1:15–2:15 PM

Shuhui Shi

University of Rochester

Wednesday, April 18, 2018

Blocker 220, 1:15PM

Title: Multiple zeta values over F_q[t]

Abstract: Classical multizeta values (abbrev. mzv) were first introduced by Euler when studying zeta values. Recently, these values have drawn people's interest because of their appearance in many different fields. Seeing these connections, Dinesh Thakur introduced mzv analogously in the function field case.

In this talk, we first give a general introduction of the analogues of zeta and mzv in the classical and function field cases. We then talk about our study of these values, including zeros of mzv at negative integers, conjectured Hopf algebra structure and truncated mzv and their linear Fq(t)-relations.