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Dario Beraldo (Oxford)
Wednesday 12 March 2014, 14:15-15:15
The extended Whittaker category
- đ¤ Speaker: Dario Beraldo (Oxford)
- đ Date & Time: Wednesday 12 March 2014, 14:15 - 15:15
- đ Venue: MR 13, CMS
Abstract
The main player in the geometric Langlands program is the DG category of D-modules on $Bun_G$ (the stack of $G$-bundles over a curve). Following Arinkin and Gaitsgory, I will define a more manageable category, the \emph{extended Whittaker category} $Wh_G$, together with a functor $\operatorname{D-mod}(Bun_G) \to Wh_G$, which is conjectured to be fully faithful. The construction is motivated by a function theoretic analogy, which I plan to explain.
$Wh_G$ admits a stratification parametrized by standard parabolics; I will describe the ``open stratum” (the one corresponding to the parabolic $P=G$) in terms of the Langlands dual group.
Series This talk is part of the Algebraic Geometry Seminar series.
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