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Séminaire GT3

organisé par l'équipe Géométrie

  • Lukas Waas

    Presenting the stratified homotopy hypothesis

    25 novembre 2024 - 14:00Salle de séminaires IRMA

    It is a guiding paradigm is higher category theory (known as Grothendieck’s homotopy hypothesis) that the homotopy theory of spaces should be the same as the homotopy theory of infinity-groupoids, i.e. such infinity-categories, in which every 1-morphism has an inverse. This conceptual equivalence can be realized in terms of the fundamental infinity groupoid of paths, a higher categorical analogue of the fundamental group. Here, I want to talk about the stratified analogue of this correspondence. First, I will be talking about the homotopy theory of stratified spaces, explain why it is an excellent homotopy theoretic setting to work in and why it is well connected with geometric examples of stratified spaces. Then, I will discuss a presentation of the stratified analogue of the homotopy hypothesis in terms of a (Quillen) equivalence using exit-path categories.

  • Yuan Yao

    TBA

    2 décembre 2024 - 14:00Salle de séminaires IRMA

  • Sylvain Douteau

    TBA

    13 janvier 2025 - 14:00Salle de séminaires IRMA

  • Stavros Garoufalidis

    TBA

    20 janvier 2025 - 11:00Salle de conférences IRMA

  • Ingrid Irmer

    TBA

    20 janvier 2025 - 14:00Salle de séminaires IRMA