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Séminaire Analyse

organisé par l'équipe Analyse

  • Siarhei Finski

    Toeplitz Operators: Equidistribution, Small Eigenvalues, and Mabuchi Geometry

    18 septembre 2025 - 11:00Salle de conférences IRMA

    The spectral theory of Toeplitz operators originates in Szegő’s classical work on the eigenvalue distribution of Toeplitz matrices and was later extended by Boutet de Monvel and Guillemin to general complex manifolds. This talk has two objectives. First, we present a generalization of these results in the framework of arbitrary Bernstein-Markov measures on complex manifolds. Second, we investigate the asymptotic behavior of the smallest eigenvalue of Toeplitz operators, a problem that — unexpectedly — turns out to be closely related to Mabuchi geometry originally introduced in connection with constant scalar curvature Kähler metrics. Our aim is to show how techniques from Kähler geometry and pluripotential theory emerge organically in the asymptotic analysis of Toeplitz operators.

  • Kiyoon Eum

    TBA

    25 septembre 2025 - 11:00Salle de conférences IRMA

    Online

  • Yousuke Ohyama

    TBA

    23 octobre 2025 - 11:00Salle de conférences IRMA