Geometry/Physics Seminar

Title: On the chiral Whittaker category of the affine Grassmannian
Speaker: Dario Beraldo
Speaker Info: UC Berkeley
Brief Description:
Special Note:

The goal of geometric Langlands is to express the category of D-modules on $Bun_G$ (the stack of $G$-bundles on a compact Riemann surface $X$) in terms of the stack of local systems for the Langlands dual group $\check{G}$. It has been understood by physicists and mathematicians that this program could be achieved by local-to-global techniques, i.e. by quantum field theories. In this talk I wish to discuss a result in that direction: a \emph{chiral} equivalence between $Rep(\check{G})$ and the Whittaker category of the affine Grassmannian $Gr_G$. By definition, the latter category consists of those D-modules on $Gr_G$ that are $N(\!( t)\!)$-equivariant against a non-degenerate character and it coincides with the global Whittaker category defined by Frenkel-Gaitsgory-Vilonen.
Date: Tuesday, April 30, 2013
Time: 11:00am
Where: Lunt 101
Contact Person: Philsang Yoo
Contact email: philsang@math.northwestern.edu
Contact Phone:
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