PIRSA ID: 18010065
Série : Mathematical Physics
Event Type: Seminar
Domaine(s) scientifique(s) : Mathematical Physics
Date de fin : 2018-01-22
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.