Thursday, February 6, 2025 10am to 11:30am
About this Event
Speaker: Nikita Markarian (University of Strasbourg)
Abstract: Multiple zeta values (and their motivic version) is the gadget lying in the heart of many subjects, such as mixed Tate motives over Z.
The geometric relations between them are, therefore, crucial for these subjects. The associator relations are supposed to be the strongest among all relations. Regularized double shuffle relations form another set of relations. The interaction between these two sets seems to be an important question. Deligne and Terasoma initiated a geometric approach to interpreting regularized double shuffle relations. This approach explains the form of these relations: group-likeness of a certain element of a Hopf algebra. The tensor category standing behind this Hopf algebra is a certain category built of perverse sheaves, the tensor product being given by convolution. I will present my version of this approach, which (in my opinion) clarifies and simplifies some points. The first part of this story is published as preprint https://arxiv.org/abs/2412.15694 .
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