BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Madeline Nurcombe (The University of Queensland) DTSTART:20211105T010000Z DTEND:20211105T030000Z DTSTAMP:20260423T035712Z UID:WiSe/25 DESCRIPTION:Title: Wh at is Kazhdan-Lusztig Theory? - Part II\nby Madeline Nurcombe (The Uni versity of Queensland) as part of What is ...? Seminar\n\n\nAbstract\nThis is Part II of the talk started on 22 October. \n\nIn 1979\, Kazhdan and L usztig introduced a new basis for the Hecke algebra of a Coxeter group\, r elated to the standard basis by polynomial coefficients. These polynomials relate diverse areas in Lie Theory\, such as Verma modules of semisimple Lie algebras\, Schubert varieties in algebraic geometry\, and primitive id eals of enveloping algebras\, leading to a new topic called Kazhdan-Luszti g theory. In this talk\, I will focus on the Kazhdan-Lusztig basis in the simpler case of the Hecke algebra of the symmetric group\, giving some nec essary background information on the symmetric group\, Bruhat order and He cke 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/25/ END:VEVENT END:VCALENDAR