8 citations · 15 across the 7 of their papers we have counts for
5 papers · 1 filter
Affine Beilinson-Bernstein localization at the critical level
David Yang, Sam Raskin
We prove the Frenkel-Gaitsgory localization conjecture describing regular Kac-Moody representations at critical level via eigensheaves on the affine Grassmannian using categorical…
Localization for affine -algebras
Gurbir Dhillon, Sam Raskin
We prove a localization theorem for affine -algebras in the spirit of Beilinson--Bernstein and Kashiwara--Tanisaki. More precisely, for any non-critical regular weight , we i…
Homological methods in semi-infinite contexts
Sam Raskin
Actions of algebraic groups on DG categories provide a convenient, unifying framework in some parts of geometric representation theory, especially the representation theory of redu…
Affine Beilinson-Bernstein localization at the critical level for
Sam Raskin
We prove the rank 1 case of a conjecture of Frenkel-Gaitsgory: critical level Kac-Moody representations with regular central characters localize onto the affine Grassmannian. The m…
A Geometric Proof of the Feigin-Frenkel Theorem
Sam Raskin
We reprove the theorem of Feigin and Frenkel relating the center of the critical level enveloping algebra of the Kac-Moody algebra for a semisimple Lie algebra to opers (which are…