PIRSA:18010065 Scientific Series Mathematical physics

DOI10.48660/18010065

Series: Mathematical Physics

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}}
}

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. 

Resources

Next talk

Related Talks