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An afternoon of mathematical physics


Mardi 12 mai 2026

Salle de conférences IRMA
Programme

Le mini-workshop intitulé "An afternoon of mathematical physics" aura lieu le mardi après-midi 12 mai 2026 dans la salle de conférences de l'IRMA.

Organisateur : Vladimir Dotsenko (IRMA)

Orateurs.rices :

Lieu : Salle de conférences de l'IRMA

  • Mardi 12 mai 2026

  • 14:00

    Pavel Mnev, University of Notre Dame / University of Zurich

    BV integral as a quasi-isomorphism

    Résumé : Using homological perturbation lemma, one can construct a strong deformation retraction (i,p,K) from the BV complex (functions of BV fields with differential Q-i \hbar \Delta) to the BV complex associated with infrared fields. This construction (a) recovers the effective action as the induced differential, (b) recovers the BV pushforward of observables as the projection map p. This observation is based on comparison of Feynman graphs (as terms in the expansion of a BV integral) and “cable diagrams” describing terms in the homological perturbation formulae, provided by a choice of a Morse function on a graph.
    The inclusion map i, lifting infrared observables to the big complex, is of independent interest. I will outline a path integral construction of this observable-lifting map, which uses a BV theory one dimension higher (or: a 1d AKSZ theory with target built out of the original theory).
    This is a report on a work in progress with Alberto S. Cattaneo.
  • 15:00

    Thomas Willwacher, ETH Zurich

    TBA

  • 16:30

    Oscar Cosserat, ICMAT Madrid

    Symplectic groupoids and combinatorics

    Résumé : In a series of articles, we developed numerical methods that approximate in an efficient way the trajectory of a given Hamiltonian on a Poisson manifold. These techniques rely on symplectic groupoid theory. In this talk, I start by explain these symplectic groupoid tools. In a second part, I explain some combinatorics underlying the development of high-order methods, using a pre-Lie algebra and the Connes Kreimer Hopf algebra. If time permits, I will finish by sketching an ongoing work with D. Calaque, where we investigate the deformation theory of symplectic groupoids through some sort of formality theorem.