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  • Topology and dynamics

    Research

    Topology and dynamics

    Head: Sylvain Crovisier
    Assistant: Céline Gautier
    Weekly seminar: Thursday afternoons 

     

    The team has three main areas of interest:

    • Differential geometry and symplectic topology
    • Group theory and operator algebras
    • Dynamical systems and ergodic theory.        

    These three themes have many interactions. For example, ergodic geometry bridges the gap between geometry and dynamics. Similarly, geometric group theory interacts with differential geometry and operator algebras.
                                                                                                         
    Interactions also exist with other teams. Ergodic theory and group geometry interact with the probability and statistics team. Differential geometry and the theory of holomorphic dynamical systems bridge the gap with the complex geometry components of the harmonic analysis and arithmetic, and algebraic geometry teams.                                                                                          

    The team hosts the Inria project-team Datashape dedicated to the topological analysis of data, in particular using techniques also seen in symplectic topology.

    Team members

    Upcoming events

    10
    June 2025
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    Séminaire Arithmétique et Géométrie Algébrique
    Dennis Gaitsgory
    Max Planck Institute
    14h00 - 15h00
    12
    June 2025
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    Séminaire Analyse Numérique et EDP
    TBA
    Cédric Villani
    Université Claude Bernard Lyon I
    14h00 - 15h00
    12
    June 2025
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    Séminaire Géométrie Topologie Dynamique
    Renata Turkes
    LMO
    14h00 - 15h00
    12
    June 2025
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    Séminaire Probabilités et Statistiques
    TBA
    Marine Le Morvan
    INRIA (SODA)
    15h30 - 16h30
    13
    June 2025
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    GT Transport optimal - EDP - Machine learning
    Giovanni Conforti
    Università di Padova
    14h00 - 15h00
    13
    June 2025
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    Thèse Probabilités et statistiques

    Contributions à l’inférence de l’homologie persistante et applications

    15h00
    13
    June 2025
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    Thèse Arithmétique et Géométrie Algébrique

    Réduction hamiltonienne par étapes pour les W-algèbres et applications

    10h00
    16
    June 2025
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    GT Théorie Ergodique et Systèmes Dynamiques
    Davi Obata
    Brigham Young University
    10h15 - 11h45
    16
    June 2025
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    GT des doctorants ANH et ANEDP
    14h00 - 15h00
    17
    June 2025
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    Séminaire Arithmétique et Géométrie Algébrique
    TBA
    Elie Studnia
    IMJ
    14h00 - 15h00
    19
    June 2025
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    Thèse Topologie et dynamique

    Equidistribution en dynamique homogène ergodique et statistiques de paires

    16h00
    19
    June 2025
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    Séminaire Géométrie Topologie Dynamique
    Jens Marklof
    Bristol
    14h00 - 15h00
    19
    June 2025
    -
    20
    June 2025
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    Conférence Probabilités et statistiques
    19
    June 2025
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    Séminaire Analyse Numérique et EDP
    TBA
    Alex Cohen
    Massachusetts Institute of Technology
    14h00 - 15h00
    24
    June 2025
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    Séminaire Arithmétique et Géométrie Algébrique
    Kestutis Cesnavicius
    LMO
    14h00 - 15h00