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International Conference dedicated to the 60-th birthday of Boris Feigin "Representation Theory and applications to Combinatorics, Geometry and Quantum Physics"
December 17, 2013 11:30–12:20, Moscow, Steklov Mathematical Institute of the RAS
 


Local geometric Langlands for the semi-infinite Whittaker category

D. Gaitsgory
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D. Gaitsgory


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Abstract: I'll describe work-in-progress by my graduate student Sam Raskin.
Local geometric Langlands in its most general form is a conjecture that certain two 2-categories (one associated with the group $G$, and another with its Langlands dual) are equivalent. However, the very formulation of this conjecture relies on a series (of largely conjectural) statements that certain pairs of factorization categories are equivalent. The most fundamental among them is a description of that the category of Whittaker D-modules on the semi-infinite flag space $G(K)/N(K)T(O)$ in Langlands dual terms. In the talk I'll explain this description, as well as the role that it plays in the (usual) global unramfied geometric Langlands.

Language: English

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