Beilinson-Bernstein localization via the wonderful compactification

PIRSA ID: 18010065
Event Type: Seminar
Scientific Area(s):
Mathematical Physics
End date:
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.