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Séminaire ART

organisé par l'équipe Algèbre, représentations, topologie

  • Taichi Katayama

    Elliptic multiple zeta values and regularization

    9 septembre 2025 - 14:00Salle de séminaires IRMA

    Résumé : In 2016, Enriquez introduced elliptic multiple zeta values (eMZVs) as elliptic analogues of multiple zeta values on genus-one curves. We denote the eMZV with indices n1, ..., nr by I(n1, ..., nr). An eMZV is called admissible when it is expressible by ordinary iterated integrals; otherwise it is non-admissible. With this notation, admissibility is equivalent to requiring that n1 and nr are both not equal to 1. I present a regularization for the non-admissible case and prove that every such eMZV is given by a polynomial in the admissible eMZVs and in a small explicit family indexed only by 0 and 1.

  • Lukas Bertsch

    tba

    16 septembre 2025 - 14:00Salle de séminaires IRMA