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Семинар лаборатории алгебраической геометрии: Сергей Архипов

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Семинар состоится 20 октября 2017 г., начало в 17:00, ауд. 306
Семинар проводится совместно с Международной лабораторией  зеркальной симметрии и автоморфных форм

На семинаре с докладом Braid relations in the affine Hecke category and differential forms with logarithmic singularities выступит  Сергей Архипов (Университет Аархуса)

We recall the even and odd algebro-geometric realizations of the affine Hecke category - one via equivariant coherent sheaves on the Steinberg variety and the other in terms of some equivariant DG-modules over the DG-algebra of differential forms on a reductive group G.

The latter one has a toy analog called the coherent Hecke category. It contains certain canonical objects satisfying braid relations via convolution. The proof uses simple facts from the geometry of Bott-Samelson varieties.

Our goal is to provide a similar proof of braid relations in the affine Hecke category. It turns out that canonical braid group generators are given by certain DG-modules of logarithmic differential forms and braid relations follow immediately from a general statement which seems to be new: direct image of the DG-module of logarithmic differential forms does not depend on a resolution of singularities.