# Alexander Molev (University of Sydney)

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

### Yangian characters and classical $$W$$-algebras

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.