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SUMMARY:Composition multiplicities of Verma modules for truncated current 
 Lie algebras - Matthew Chaffe\, University of Birmingham
DTSTART:20240221T163000Z
DTEND:20240221T173000Z
UID:TALK210856@talks.cam.ac.uk
CONTACT:Adam Jones
DESCRIPTION:The problem of computing the composition multiplicities of Ver
 ma modules for a semisimple Lie algebra was famously solved by the proof o
 f the Kazhdan-Lusztig conjecture\, which gives the multiplicities in terms
  of certain polynomials known as the Kazhdan-Lusztig polynomials. In this 
 talk\, I will discuss this problem for a related class of Lie algebras\, k
 nown as truncated current Lie algebras. I will also discuss the BGG catego
 ry O of modules for a semisimple Lie algebra and an analogue of this categ
 ory for truncated current Lie algebras.
LOCATION:MR12
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