3-7 December 2018
RIMS Kyoto
Asia/Tokyo timezone

Sandwich resolution of a dual free associative algebra

5 Dec 2018, 09:30
Room 420 (RIMS Kyoto)

Room 420

RIMS Kyoto

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502 JAPAN


Tomohide Terasoma


Let D be the graded Q vector space generated by motivic multiple zeta values modulo “π^2”. The depth filtration is defined as the subspaces of D generated by MZV's whose lengths are less than or equal to given numbers. Broadhurst and Kreimer gave a conjecture on the two variable generating function of the dimensions of weight n and depth d part. This conjecture suggests the existence of an influence of mixed elliptic motives on mixed Tate motives. The Hopf algebra classifying the mixed elliptic motives is given by the relative bar complex defined by Hain. In this talk, we introduce a certain resolution, called a sandwich resolution of a dual free associative algebra motivated by the Broadhurst-Kreimer's generating function and the relative bar complex.

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