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Séminaire GT3

organisé par l'équipe Géométrie

  • Ingrid Irmer

    The Thurston spine and critical points of the systole function on Teichm\"uller space

    14 avril 2025 - 14:00Salle de séminaires IRMA

    Abstract - Thurston defined a mapping class group-equivariant spine for Teichm\"uller space; the ``Thurston spine''. This spine is a CW complex, consisting of the points in Teichm\"uller space at which the set of shortest geodesics - the systoles - cut the surface into polygons. The systole function is a map from Teichm\"uller space to $\mathbb{R}_{+}$ whose value at any point is given by the length of the systoles. It is known that the systole function is a topological Morse function on Teichm\"uller space, whose critical points are contained in the Thurston spine. This talk surveys what the systole function tells us about the Thurston spine.

  • Stavros Garoufalidis

    From Bill Thurston to Maxim Kontsevich and Peter Scholze

    14 avril 2025 - 15:30Salle de séminaires IRMA

    Abstract: We will attempt to explain, in broad strokes, how Thurston's ideas on constructing hyperbolic metrics on 3-manifolds lead to quantum topology of complex Chern-Simons theory and to canonical q-deformations of arithmetic and motivic interest. Joint work with Peter Scholze, Campbell Wheeler and Don Zagier.