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NCTS Seminar on Number Theory
 
13:30 - 14:30, September 16, 2020 (Wednesday)
Lecture Room B, 4th Floor, The 3rd General Building, NTHU
(清華大學綜合三館 4樓B演講室)
Trivial Multiple Zeta Values in Tate Algebras
Oguz Gezmis (National Tsing Hua University)

Abstract:

In 2016, Pellarin introduced the deformation of multiple zeta values over function fields defined by Thakur. In this talk, we study a special family of such values called trivial multiple zeta values. Moreover, we describe a module structure on the set of trivial multiple zeta values over a non-commutative polynomial ring and determine the generators of it under a certain condition on number of variables. Furthermore, we explain how one can detect linear relations among Thakur's multiple zeta values by using trivial multiple zeta values. This is a joint work with Federico Pellarin.
 


 

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