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SUMMARY:Madeline Nurcombe (The University of Queensland)
DTSTART:20211022T010000Z
DTEND:20211022T030000Z
DTSTAMP:20260423T035737Z
UID:WiSe/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WiSe/22/">Wh
 at is Kazhdan-Lusztig Theory?</a>\nby Madeline Nurcombe (The University of
  Queensland) as part of What is ...? Seminar\n\n\nAbstract\nIn 1979\, Kazh
 dan and Lusztig introduced a new basis for the Hecke algebra of a Coxeter 
 group\, related to the standard basis by polynomial coefficients. These po
 lynomials relate diverse areas in Lie Theory\, such as Verma modules of se
 misimple Lie algebras\, Schubert varieties in algebraic geometry\, and pri
 mitive ideals of enveloping algebras\, leading to a new topic called Kazhd
 an-Lusztig theory. In this talk\, I will focus on the Kazhdan-Lusztig basi
 s in the simpler case of the Hecke algebra of the symmetric group\, giving
  some necessary background information on the symmetric group\, Bruhat ord
 er and Hecke algebra. I will then relate this to the more general case of 
 the Hecke algebra of a Coxeter group.\n
LOCATION:https://researchseminars.org/talk/WiSe/22/
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