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Séminaire Analyse

organisé par l'équipe Analyse

  • András Vasy

    Spectral theory for Dirac type operators on asymptotically Minkowski spaces and the spectral action principle in Lorentzian signature

    26 mars 2026 - 11:00Salle de conférences IRMA

    I will discuss a microlocal analysis approach to spectral theory on asymptotically Minkowski spaces both for scalar wave operators and also for Dirac type operators. This in turn gives rise to complex powers of the operators, allowing for the analysis of a spectral zeta function, relating its residues to geometric information. This is joint work with Nguyen Viet Dang and Michal Wrochna, with ongoing work on extensions also with Mikhail Molodyk.

  • Palmirotta Guenda

    Bridging Patterson–Sullivan, Wigner, and Ruelle distributions: the graph case

    2 avril 2026 - 11:00Salle de conférences IRMA

    Consider the eigenvalue problem for the discrete Laplacian on finite regular graphs. One can relate three types of phase space distributions associated to the resulting eigenfunctions, namely Patterson–Sullivan, invariant Ruelle, and Wigner distributions. It has been shown that, on hyperbolic surfaces, these three phase-space distributions are asymptotically equivalent, naturally raising the question of whether a similar relationship holds for finite graphs. In this talk, I will show how discrete analogues of these distributions can be defined and how they relate to each other.

  • Stéphane Mischler

    TBA

    9 avril 2026 - 11:00Salle de conférences IRMA

  • Victor Le Guilloux

    TBA

    30 avril 2026 - 11:00Salle de conférences IRMA

  • Anatole Gaudin

    TBA

    11 juin 2026 - 11:00Salle de conférences IRMA