Yangian characters and classical $W$-algebras

Friday 10th August, 12:05--12:55pm, Carslaw 175

Speaker:

Alexander Molev (University of Sydney)

Title:

Yangian characters and classical $W$-algebras

Abstract:

The Yangian characters (or $q$-characters) are known to be closely related to the classical $W$-algebras and to the centers of the affine vertex algebras at the critical level. We make this relationship more explicit by producing families of generators of the $W$-algebras from the characters of the Kirillov--Reshetikhin modules in types $B$ and $D$ and of the fundamental modules in type $C$. The generators of the $W$-algebras correspond to the recently constructed elements of the Feigin--Frenkel centers via an affine version of the Harish-Chandra isomorphism.

This is joint work with Evgeny Mukhin.

---------------------------------------------------------------------------------------

After the seminar we will take the speaker to lunch.

See the Algebra Seminar web page for information about other seminars in the series.

John Enyang John.Enyang@sydney.edu.au