Algebra Seminar: Zachary Fehily -- Inverse reduction and free-field realisations of W-algebras

This week, Zachary Fehily (University of Melbourne) will speak in the algebra seminar.
We will go out to lunch after the talk.  

When: Friday 26 April, 12-1pm 

Where: Carslaw 273 

Title: Inverse reduction and free-field realisations of W-algebras 

Abstract: A very useful and modern tool in the study of W-algebras are inverse
reductions.  These are embeddings that relate W-algebras corresponding to the same Lie
algebra but different nilpotent elements.  The few inverse reductions that have been
constructed have proven their worth in both representation-theoretic and
conformal-field-theoretic applications.  In this talk, I will present a consolidated
approach to constructing inverse reduction embeddings amongst hook-type sl_n W-algebras
using free-field realisations.  This includes the principal/regular, subregular and
minimal sl_n W-algebras, and the affine sl_n vertex operator algebra.  I will also
detail some interesting connections, future directions and open problems.