Beilinson-Bernstein localization via the wonderful compactification
PIRSA ID:
18010065
Série :
Mathematical Series
Event Type:
Seminar
Domaine(s) scientifique(s) :
Mathematical Physics
Date de fin :
Speaker(s):
- Iordan Ganev, Institute of Science and Technology Austria
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.