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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)


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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