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SUMMARY:Connecting W-algebras and their representations - Justine  Fasquel
  (University of Melbourne)
DTSTART:20240620T133000Z
DTEND:20240620T140000Z
UID:TALK217813@talks.cam.ac.uk
DESCRIPTION:W-algebras form a large family of vertex algebras associated t
 o nilpotent orbits of simple Lie algebras. They provide an additional fram
 ework to study the representations of certain infinite dimensional Lie alg
 ebras. Indeed\, W-algebras can be obtained from the latter by applying cer
 tain quantized Hamiltonian reductions. It is believed that most of the tim
 e the reduction procedure can be reversed to reconstruct the representatio
 ns of the underling affine Lie algebra.\nIn this talk\, we will discuss in
 verse reductions as well as their consequences on the representation theor
 y based on examples in small ranks. The talk reports on a recent paper wit
 h T. Creutzig\, A. Linshaw and N. Nakatsuka and ongoing work with C. Raymo
 nd and D. Ridout.
LOCATION:External
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