PIRSA:18010065

Beilinson-Bernstein localization via the wonderful compactification

Ganev, I. (2018). Beilinson-Bernstein localization via the wonderful compactification. Perimeter Institute. https://pirsa.org/18010065

Ganev, Iordan. Beilinson-Bernstein localization via the wonderful compactification. Perimeter Institute, Jan. 22, 2018, https://pirsa.org/18010065 

          @misc{ pirsa_PIRSA:18010065,
            doi = {10.48660/18010065},
            url = {https://pirsa.org/18010065},
            author = {Ganev, Iordan},
            keywords = {Mathematical physics},
            language = {en},
            title = {Beilinson-Bernstein localization via the wonderful compactification},
            publisher = {Perimeter Institute},
            year = {2018},
            month = {jan},
            note = {PIRSA:18010065 see, \url{https://pirsa.org}}
          }

Iordan Ganev

Institute of Science and Technology Austria

Talk number
PIRSA:18010065
Collection
Talk Type
Subject
Abstract

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.