12 May - Lewis Topley - Representations of finite W-algebras
From OLLIE Quinn
views
comments
From OLLIE Quinn
The subtitles/captions on this talk are being edited. They will be available within 2 weeks of the talk being published.
12 May 2021
Lewis Topley - Representations of finite W-algebras
A finite W-algebra is a non-commutative algebra which plays a key role in the representation theory of complex semisimple Lie algebras. It is constructed by quantum Hamiltonian reduction, and it gives a filtered quantisation of a transverse slice to a nilpotent orbit. Its representations have a lot to do with the geometry of the orbit closure and I will begin this talk by surveying some of the landmark results in this area. In the second part of the talk I will describe some of the techniques in my recent paper, in which I describe the variety of one dimensional representations associated to classical Lie algebras.
The University of Edinburgh is a charitable body, registered in Scotland, with registration number SC005336, VAT Registration Number GB 592 9507 00, and is acknowledged by the UK authorities as a “Recognised body” which has been granted degree awarding powers.
Any views expressed within media held on this service are those of the contributors, should not be taken as approved or endorsed by the University, and do not necessarily reflect the views of the University in respect of any particular issue.
Unless explicitly stated otherwise, all material is copyright © The University of Edinburgh 2021 and may only be used in accordance with the terms of the licence.