W-algebras and Vinberg's problem for centralizers
Tomoyuki Arakawa, RIMS Kyoto
Applying some results on W-algebras we prove the existence of a quantization of Mishchenko-Fomenko algebras for centralizers in gl(n,C) generalizing earlier results of Olshansky-Nazarov, Tarasov, Rybnikov and Feigin-Frenkel-Toledano-Laredo. Physically, the problem is closely related with the Gaudin models associated with centralizers. This is a joint work with Alexander Premet.