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t-adic shuffle relation for generalized symmetric multiple zeta values

Hold Date 2019-01-07 16:00~2019-01-07 17:30

Place Seminar Room W1-C-615, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Masataka ONO (Kyushu University Multiple Zeta Research Center)

Abstract :
Generalized symmetric multiple zeta values (GSMZVs), which was defined by Hirose and Rosen independently, is a ``real avatar"  of pp-adic finite multiple zeta values. In this talk, we give a sketch of a proof of t-adic shuffle relation for GSMZVs. The keys are two new ingredients. One is a series expression of the shuffle regularized version of GSMZV, and another is an interpretation of GSMZV in terms of 2-colored rooted tree. This is a joint work with Shuji Yamamoto (Keio University).