Finite W-algebras and the orbit method
|Date and time||10.03.2021 – 15:00 › 16:30|
|Speaker||Lewis Topley, University of Birmingham|
|Category||Conferences - Seminars|
In a recent work Losev constructed a version of the orbit method for semisimple Lie algebras: this is a map from the set of coajoint orbits to the primitive spectrum of the enveloping algebra.
For classical Lie algebras the map is known to be injective and Losev conjectured that the image should consist of primitive ideals obtained from one dimensional representations of W-algebras via Skryabin's equivalence.
In this talk I will explain his construction, and my proof of this conjecture. One of the key steps is the use of Dirac reduction to obtain new presentations of the semiclassical limits of finite W-algebras.
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