Algebra/Number Theory Seminar

On multiple zeta values in Tate algebras

Federico Pellarin, Universite St Etienne, France

Friday, May 15th, 2020
9:00 AM - 10:00 AM

Quite recently, Dinesh Thakur introduced an analogue in local fields of positive characteristic of Euler-Zagier multiple zeta values giving rise to a theory in which algebraic relations are very attractive, but not entirely understood, even conjecturally. In the viewpoint of this talk, the multiple zeta values of Thakur are the zero dimensional objects, and the higher dimensional objects in the title are elements in Tate algebras over the above-mentioned local fields. After a quick presentation of these objects, in the hope of giving new light on the algebraic relations between Thakur’s multiple zeta values, we introduce an algebra of ‘trivial’ multiple zeta values in Tate algebras together with an evaluation map to Thakur’s multiple zeta values which seems to detect many linear relations among them. This is work in progress with Oguz Gezmis (NTHU Taiwan).

Event contact: dinesh dot thakur at rochester dot edu