Séminaire ART
organisé par l'équipe Algèbre, représentations, topologie
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Nikita Markarian
Multiplicative convolution and double shuffle relations
11 février 2025 - 14:00Salle de séminaires IRMA
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. -
Emilien Zabeth
tba
25 février 2025 - 14:00Salle de séminaires IRMA
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Benjamin Dequêne
tba
18 mars 2025 - 14:00Salle de séminaires IRMA
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Victor Carmona
à preciser
25 mars 2025 - 14:00Salle de séminaires IRMA
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Joakim Færgeman
tba
8 avril 2025 - 14:00Salle de séminaires IRMA
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Adrien Laurent
à preciser
8 avril 2025 - 15:15Salle de séminaires IRMA
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Anna-Laura Sattelberger
à preciser
22 avril 2025 - 14:00Salle de séminaires IRMA