Multiplicative Convolution and Double Shuffle Relations in Multiple Zeta Values

Explore a mathematics seminar lecture that delves into the geometric relationships between multiple zeta values and their significance in mixed Tate motives over Z. Learn about the interplay between associator relations and regularized double shuffle relations, examining their geometric interpretations through Deligne and Terasoma's approach. Discover how perverse sheaves and tensor categories contribute to understanding these relationships, with a focus on the group-likeness properties within Hopf algebra. Gain insights into a simplified interpretation of these mathematical concepts, building upon research published in arxiv:2412.15694, as presented by Nikita Markarian from the University of Strasbourg at Kansas State University's M-Seminar.