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Séminaire GT3

organisé par l'équipe Géométrie

  • Sylvain Douteau

    TBA

    13 janvier 2025 - 14:00Salle de séminaires IRMA

  • Stavros Garoufalidis

    TBA

    20 janvier 2025 - 11:00Salle de conférences IRMA

  • Ingrid Irmer

    The Thurston spine and critical points of the systole function on Teichmüller space

    20 janvier 2025 - 14:00Salle de séminaires IRMA

    Abstract - Thurston defined a mapping class group-equivariant spine for Teichmüller space; the ``Thurston spine''. This spine is a CW complex, consisting of the points in Teichmüller space at which the set of shortest geodesics - the systoles - cut the surface into polygons. The systole function is a map from Teichmüller 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 TeichmÛller space, whose critical points are contained in the Thurston spine. This talk surveys what the systole function tells us about the Thurston spine.