Institut de Mathématiques de Toulouse

Les événements de la journée

5 événements

  • Séminaire de Probabilités

    Mardi 28 novembre 09:45-10:45 -

    Séminaire de Probabilités [annulé]

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  • Séminaire MIP

    Mardi 28 novembre 11:00-12:00 - Birte Schmidtmann - RWTH Aachen University (Germany)

    A venir

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  • Séminaire de Géométrie et Topologie

    Mardi 28 novembre 11:00-12:00 - Edmund Harriss

    Séminaire de Géométrie et Topologie

    Lieu : Salle Pellos (1R1, 207)

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  • Séminaire de Statistique

    Mardi 28 novembre 11:00-12:00 - Thierry Klein - ENAC -IMT

    A venir

    Lieu : Salle 106 Bat 1R1

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  • Homotopie en Géométrie Algébrique

    Mardi 28 novembre 14:00-15:00 - Dario Beraldo - Oxford Univ.

    Quasi-smooth schemes and Hecke eigensheaves

    Résumé : Quasi-smooth schemes (or stacks) arise in several geometric situations : an important example is the stack of G-local systems on a Riemann surface, but there are many other simpler examples. The degree of non-smoothness of a quasi-smooth scheme is captured nicely by the difference between quasi-coherent sheaves and ind-coherent sheaves on it.
    I will explain how, while studying a quasi-smooth scheme, one is led to go to the next level : the level of "quasi-quasi-smooth scheme" (pun intended). By definition, if quasi-smooth means that the tangent complex lives in amplitude [0,1], quasi-quasi-smooth is the next best thing : amplitude [0,2].
    In this situation, the relation between QCoh and IndCoh gets unwieldy. This wildness has a positive consequence though : it helps define a new theory of left D-modules on derived schemes that is of use in geometric Langlands (for instance, in the description of Hecke eigensheaves for the trivial local system).

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