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Comparison between cuspidal generators on the depth-graded motivic Lie algebra and on the linearized double shuffle Lie algebra

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Koji Tasaka
Aichi Prefectural University/MPIM
Wed, 2017-09-20 14:15 - 15:15
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

According to the Broadhurst-Kreimer conjecture, there are modular phenomena in the ring of multiple zeta values
with the depth filtration. The goal of this project is to give a substantial solution to the Broadhurst-Kreimer conjecture in depth 4. In this talk, I will describe a conjectural connection, which involves a ratio of critical values of the L-function
of a cusp form, between two different cuspidal generators constructed by F. Brown and present an attempt and some results to reveal the connection. This talk is based on a joint work with Seidai Yasuda (advised by Francis Brown).

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