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BRST reduction of the chiral Hecke algebraAlgebra & Discrete Mathematics
|Speaker: ||Ilya Shapiro, UC Davis|
|Location: ||1147 MSB|
|Start time: ||Fri, May 18 2007, 3:10PM|
The chiral Hecke algebra, introduced by Beilinson and
Drinfeld, is a geometrically defined vertex algebra with many
wonderful applications. In particular, it is conjectured to play a
role in the affine version of the Beilinson-Bernstein localization
theorem at a below critical integral level.
I will describe its BRST reduction, which is a vertex algebra. The
computation is for the most part geometric due to the relation between
the BRST reduction and the de Rham cohomology, the latter can be
computed using a theorem of Mirkovic and Vilonen.