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.

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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