Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
3 place Victor Hugo
Case 19
13331 Marseille Cedex 3


De Rham stacks in analytic geometry

Juan Esteban Rodriguez Camargo
Columbia University

Date(s) : 11/06/2024   iCal
14h00 - 15h00

The recent introduction of analytic geometry of Clausen and Scholze has made possible a new study to the theory of D-modules from the stacky approach of Simpson, Drinfeld, and Bhatt-Lurie. In this talk I will introduce different versions of de Rham stacks related with different theories of D-modules in analytic and algebraic geometry. In particular I shall explain how some of these stacks produce very general six functor formalisms of D-modules not just for finite dimensional varieties but also much bigger spaces such as perfectoid spaces or compact Hausdorff spaces. This is based in different joint works in progress and conversations with Anschütz, Aoki, Bosco, Le Bras, Scholze and Zavyalov.

Site Sud, Luminy, TPR2, Salle de Séminaire 304-306 (3ème étage)


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