== Abstracts ==
== Abstracts ==
<!-- === Sam Raskin===
W- algebras and Whittaker categories'''
Affine W-algebras are a somewhat complicated family of (topological) associative algebras associated with a semisimple Lie algebra, quantizing functions on the algebraic loop space of Kostant's slice. They have attracted a great deal of attention because of Feigin- Frenkel's duality theorem for them, which identifies W- algebras for a Lie algebra and for its Langlands dual through a subtle construction.
with . of --. this talka of the category of to -in of a of a the .
The purpose of this talk is threefold: 1) to introduce a ``stratification" of the category of modules for the affine W-algebra, 2) to prove an analogue of Skryabin's equivalence in this setting, realizing the categoryof (discrete) modules over the W- algebra in a more natural way, and 3) to explain how these constructions help understand Whittaker categories in the more general setting of local geometric Langlands. These three points all rest on the same geometric observation, which provides a family of affine analogues of Bezrukavnikov-Braverman-Mirkovic. These results lead to a new understanding of the exactness properties of the quantum Drinfeld-Sokolov functor.
Revision as of 18:08, 22 August 2017
The seminar meets on Fridays at 2:25 pm in Van Vleck B321.
Here is the schedule for the previous semester.
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Fall 2017 Schedule
Topological K-theory of equivariant singularity categories
This is joint work with Tobias Dyckerhoff. Topological K-theory of complex-linear dg categories is a notion introduced by Blanc in his recent article "Topological K-theory of complex noncommutative spaces". In this talk, I will discuss a calculation of the topological K-theory of the dg category of graded matrix factorizations associated to a quasi-homogeneous polynomial with complex coefficients in terms of a classical topological invariant of a complex hypersurface singularity: the Milnor fiber and its monodromy.