Date/heure
6 décembre 2021
14:00 - 16:00
Oratrice ou orateur
Roma Bezrukavnikov
Catégorie d'évènement Séminaire de géométrie complexe
Résumé
Irreducible characters form an interesting basis in the space of of class functions (i.e. functions constant on conjugacy classes) on a finite group G, the goal of harmonic analysis and representation theory is to study properties and applications of that basis.
If G is a reductive p-adic group, such as the group of invertible matrices with p-adic entries, then irreducible characters are known to behave in a regular way not only on conjugacy classes (on which they are constant) but also on the so called stable conjugacy classes, i.e. the set of elements conjugate over the algebraic closure of the base field (for example, two sheets of a hyperboloid in R^3 are two SL(3,R) orbits inside a single stable orbit). This is studied in the theory of endoscopy in harmonic analysis on p-adic group.
I will give an overview of a long term joint project with Kazhdan and Varshavsky aimed at applying algebraic geometry, including l-adic sheaves, to problems in that theory.
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Comme tous les Séminaires Communs de Géométrie, cet exposé sera en deux parties : une première partie « colloquium » de 14h à 14h45, puis une partie plus avancée de 15h15 à 16h. Une pause thé-gateaux-géométrie vous est proposée entre les deux exposés.