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Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg on the occasion of his 80th birthday
December 16, 2017 17:50, Moscow, NRU Higher School of Economics, Faculty of Mathematics, room 109

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Beilinson–Bernstein localization via wonderful asymptotics

I. Ganev

IST, Austria

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, as well as the associated Vinberg semigroup. 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.

Language: English


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