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Confluence relations of the multiple zeta values


Hold Date 2018-12-07 16:00~2018-12-07 16:50

Place Lecture Room M W1-C-512, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Nobuo SATO (Kyushu University Multiple Zeta Research Center)

Abstract:
In this talk I will introduce my recent work with Minoru Hirose on "confluence relations" among the multiple zeta values (MZVs). The confluence relation is a class of relations among the MZVs obtained as limits of "standard relations" which in a sense is a simplest class of relations among iterated integrals with a variable derived from their differential structure with respect to their variable. Despite the simplicity of its idea, confluence relations are so powerful that we may conjecture that all the relations of the MZVs are confluence relations. This is expected for the regularized double shuffle relation since long time ago, and we in fact proved that it (together with the well-known duality relations of Hoffman) are confluence relations. If time permits, I would also like to remark a recent result on a relationship between the confluence relation and the associator relation proved by Furusho.