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Séminaire Géométrie et applications

organisé par l'équipe Géométrie

  • William Sarem

    Entropy, holomorphic convexity, and locally symmetric spaces

    2 février 2026 - 14:00Salle de séminaires IRMA

    Let $X = G/K$ be a Hermitian symmetric space of noncompact type (in rank one, $X$ is the unit ball in $\mathbb{C}^n$ and $G$ is the group $\mathrm{PU}(n,1)$), and let $\Gamma$ be a discrete and torsion-free subgroup of $G$. Can we find criteria on $\Gamma$ implying that the quotient of $X$ by $\Gamma$ is holomorphically convex, or that it contains no compact analytic subvariety of positive dimension? I will present criteria inspired by the work of Dey and Kapovich, which concern the critical exponent of the group (in rank one) or its entropy associated with some linear form (in higher rank). In both cases, the proofs involve Patterson–Sullivan measures, and the ultimate goal is to show that these quotients are Stein manifolds. The results in higher rank come from work in progress, in collaboration with Colin Davalo.

  • Jonathan Clivio

    TBA

    16 février 2026 - 14:00Salle de séminaires IRMA

    TBA

  • Timothé Lemistre

    TBA

    23 février 2026 - 14:00Salle de séminaires IRMA

    TBA

  • Manuel Rivera

    TBA

    9 mars 2026 - 14:00Salle de séminaires IRMA

  • Timothée Bénard

    TBA

    16 mars 2026 - 14:00Salle de séminaires IRMA

    TBA