|Speaker:||Sam Raskin (University of Texas at Austin )|
|Title:||Affine Beilinson-Bernstein at the critical level for GL_2|
|Date:||Thu, Jul 19, 2018, 15:30 - 17:00|
There has long been interest in Beilinson-Bernstein localization for the
affine Grassmannian (or affine flag variety). First, Kashiwara-Tanisaki
treated the so-called negative level case in the 90's. Some ten years
later, Frenkel-Gaitsgory (following work of Beilinson-Drinfeld and
Feigin-Frenkel) formulated a conjecture at the critical level and made
some progress on it. Their conjecture is more subtle than its negative
level counterpart, but also more satisfying.
We will review the necessary background from representation theory of
Kac-Moody algebras at critical level, formulate the Frenkel-Gaitsgory
conjecture, and outline a proof for GL_2.