100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Thierry Gallay

Iordan Ganev

Beilinson-Bernstein localization via the wonderful compactification
Lundi, 14 Mai, 2018 - 14:00
Résumé : 

We explain how a doubled version of the Beilinson-Bernstein
localization functor can be understood using the geometry of the
wonderful compactification of a group. Specifically, bimodules for the
Lie algebra give rise to monodromic D-modules on the horocycle space,
and to filtered D-modules on the group that respect a certain matrix
coefficients filtration. These two categories of D-modules are related
via an associated graded construction in a way compatible with
localization, Verdier specialization, and additional structures. This
is joint work with David Ben-Zvi and David Nadler.

Institution de l'orateur : 
IST Austria
Thème de recherche : 
Algèbre et géométries
Salle : 
4
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