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TZID:Europe/Vienna
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DTSTART:20260329T030000
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DTSTAMP:20260424T033706Z
UID:665dbdca9553e692312618@ist.ac.at
DTSTART:20260430T131500
DTEND:20260430T150000
DESCRIPTION:Speaker: Thibault Juillard\nhosted by Tamas Hausel\nAbstract: A
 ffine W-algebras form a family of vertex algebras parametrised by nilpoten
 t orbits in simple Lie algebras. These are algebraic structures generalisi
 ng infinite-dimensional Lie algebras such as affine Kac--Moody algebras or
  Virasoro algebras.In this talk\, I will present a joint work with Naoki G
 enra about "reduction by stages". Given two nilpotent orbits\, in the same
  Lie algebra\, satisfying some compatibility conditions\, we prove that on
 e of the corresponding W-algebras can be reconstructed as the quantum Hami
 ltonian reduction of the other one. Our approach is geometric\, using the 
 fact that each W-algebra is the quantisation of some Poisson variety\, the
  Slodowy slice associated with the corresponding nilpotent orbit.As an app
 lication\, I will present a sufficient condition on a pair of nilpotent or
 bits in type A to get a natural embedding of affine W-algebras. This an an
 alogue of the combinatorial rule established by Kraft and Procesi in their
  study of Slodowy slices in the 80's.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Thibault Juillard: Reduction by stages for affine W-algebras
URL:https://talks-calendar.ista.ac.at/events/6423
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