Nilpotent Orbits and Representation Theory

Sheets and associated varieties of affine vertex algebras

speaker: Anne Moreau (Université de Poitiers)

abstract: In this talk, I will explain how sheet closures appear as associated varieties of affine vertex algebras. I will also provide examples of associated varieties that are union of distinct sheet closures, which in particular shows that the associated varieties of vertex algebras need not to be irreducible. Further, I will give new examples of non-admissible affine vertex algebras whose associated varieties are contained in the nilpotent cone. This gives new examples of lisse affine W-algebras. This talk is based on joint works with Tomoyuki Arakawa.

timetable:
Thu 16 Jun, 11:15 - 12:30, Aula Bianchi Scienze
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