Pierre-Louis Blayac

Institut de Recherche Mathématique Avancée (IRMA)
Université de Strasbourg
7 Rue René Descartes, 67000 Strasbourg
France


Email address:
Office : I305
Version française Photo

Presentation

    I am maître de conférence (Assistant Professor) at the University of Strasbourg (Unité Mixte de Recherche 7501 du CNRS et de l'Université de Strasbourg), in the Geometry team.
    I did my PhD at Université Paris-Saclay under the supervision of Fanny Kassel, on the dynamics of the geodesic flow on convex projective manifolds.
    I also did two postdocs: in the Max Planck Institute in Bonn and at the University of Michigan.
    More generally, my research interests are projective manifolds, discrete subgroups of Lie groups, Anosov representations, non-positively curved manifolds.
    My CV et mon CV en français.

Teaching

    This year I taught Linear Algebra (Reduction of Endomorphisms), and a bit of Bilinear Algebra (for agrégation) and Maths in English.

My papers

    Lists of my publications can be found on HAL, Zentralblatt, or arXiv.
  1. Geometry and dynamics of Hitchin grafting representations, in collaboration with Ursula Hamenstädt, Théo Marty and Andrea Egidio Monti.
    Preprint arXiv:2407.07748
  2. Counting, mixing and equidistribution for GPS systems with applications to relatively Anosov groups, in collaboration with Dick Canary, Feng Zhu and Andy Zimmer.
    Preprint arXiv:2404.09718
  3. Patterson-Sullivan theory for coarse cocycles, in collaboration with Dick Canary, Feng Zhu and Andy Zimmer.
    Preprint arXiv:2404.09713.
  4. Divisible convex sets with properly embedded cones, in collaboration with Gabriele Viaggi.
    Published in Publications mathématiques de l'IHÉS (2024).
    Links to Journal and arXiv:2302.07177.
  5. Ergodicity and equidistribution in Hilbert geometry, in collaboration with Feng Zhu
    Published in Journal of Modern Dynamics 19 (2023) p. 879-945.
    Links to Journal and arXiv:2106.07581.
  6. Patterson--Sullivan densities in convex projective geometry
    To be published in Commentarii Mathematici Helvetici, online first.
    Links to Journal and arXiv:2106.08089.
  7. The boundary of rank-one divisible convex sets
    Published in Bulletin de la Société Mathématique de France 152, No. 1, p1-17 (2024).
    Links to Journal and arXiv:2106.07581.
  8. Topological mixing of the geodesic flow on convex projective manifolds
    To be published in Annales de l'Institut Fourier, online first, 38 p.
    Links to Journal and arXiv:2009.05035.
  9. My PhD thesis, written under the supervision of Fanny Kassel.

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