Thursday, November 21, 2019 3:30pm to 5pm
About this Event
Free EventSpeaker: Sergey Arkhipov (Aarhus University)
Abstract: This is a joint work in progress with Sebastian Orsted. Given an algebraic variety X acted by an affine algebraic group G, we make sense of the derived category of DG-modules over the DG-algebra of differential forms on X equivariant with respect to differential forms on G. The construction uses an explicit model for a certain homotopy limit of a diagram of DG-categories developed in our earlier work and generalizing a recent result of Block, Holstein and Wei. We compare the obtained category with a certain category of sheaves on the (shifted) cotangent bundle T^*X descending to the Hamiltonian reduction of the cotangent bundle. Two special cases are of interest. In the first, X is a point. Thus we compare comodules over Omega(G) with G-equivariant coherent sheaves on Lie(G). In the second case, X is a simple algebraic group, with the action of the square of the upper triangular subgroup. We obtain a category closely related to the affine Hecke category.
0 people are interested in this event
User Activity
No recent activity