S'abonner à l'agenda

S'abonner au séminaire

Ajouter cette URL aux abonnements de votre calendrier électronique :
https://irma.math.unistra.fr/cal/seminaire-art.ics
Fermer

Séminaire ART

organisé par l'équipe Algèbre, représentations, topologie

  • Anna-Laura Sattelberger

    Border Bases in the Rational Weyl Algebra

    24 mars 2026 - 14:00Salle de séminaires IRMA

    Résumé : Border bases are a generalization of Gröbner bases for zero-dimensional ideals in polynomial rings. In recent work with Carlos Rodriguez (https://arxiv.org/abs/2510.23411), we introduced border bases for a non-commutative ring of linear differential operators, namely the rational Weyl algebra. We elaborate on their properties and present algorithms to compute with them. We apply this theory to represent integrable connections as cyclic D-modules explicitly. As an application, we visit computations with linear PDEs behind integrals in theoretical physics. We also address the classification of particular D-ideals of a fixed holonomic rank, namely the case of linear PDEs with constant coefficients as well as Frobenius ideals. Our approach rests on the theory of Hilbert schemes of points in affine space.

  • Muze Ren

    A topological inclusion from double shuffle Lie algebra to Kashiwara-Vergne Lie algebra.

    31 mars 2026 - 14:00Salle de séminaires IRMA

    Double shuffle and regularization relations is a distinguished set of relations among multiple zeta values. Consider those relations formally, G. Racinet introduced the double shuffle Lie algebra (dmr). The Kashiwara-Vergne Lie algebra (krv) was introduced by A. Alekseev and C. Torossian when they reproved the Kashiwara-Vergne conjecture using Drinfeld associators. In this talk, I will present a topological characterization of the skew symmetric part of dmr and symmetric krv. As an application, we prove the inclusion of skew-symmetric part of dmr with IHX relations to symmetric krv. It is based on the preprints: 2509.20275, arXiv:2601.19455 with collaborators and some ongoing work.

  • Maria Aksenovich

    tba

    14 avril 2026 - 14:00Salle de séminaires IRMA

  • Pavel Mnev

    à préciser

    12 mai 2026 - 14:00Salle de séminaires IRMA

  • Thomas Willwacher

    à préciser

    12 mai 2026 - 15:30Salle de séminaires IRMA

  • Francesco Sala

    tba

    19 mai 2026 - 14:00Salle de séminaires IRMA

  • Chris Bowman

    tba

    26 mai 2026 - 14:00Salle de séminaires IRMA