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UID:20251029T105944EDT-7252SjhEab@132.216.98.100
DTSTAMP:20251029T145944Z
DESCRIPTION:TITLE / TITRE\n\nOn Lusztig's Asymptotic Algebra (in affine typ
 e A)\n	 \n\nABSTRACT / RÉSUMÉ\n\nKazhdan-Lusztig theory plays a fundamental
  role in the representation theory of Coxeter groups\, Hecke algebras\, gr
 oups of Lie type\, and algebraic groups. One of the most fascinating objec
 ts in the theory is the 'asymptotic Hecke algebra' introduced by Lusztig i
 n 1987. This algebra is 'simpler' than the associated Hecke algebra\, yet 
 still encapsulates essential features of the representation theory. This a
 pparent simplicity is somewhat offset by the considerable difficulty one f
 aces in explicitly realising the asymptotic algebra for a given Coxeter gr
 oup\, because on face value it requires a detailed understanding of the en
 tire Kazhdan-Lusztig basis\, and the structure constants with respect to t
 his basis. A significant part of this talk will be a gentle introduction t
 o the basic setup of Kazhdan-Lusztig theory (the Kazhdan-Lusztig basis\, c
 ells\, and the asymptotic algebra). We will then report on a new approach 
 (joint with N. Chapelier\, J. Guilhot\, and E. Little) to construct the as
 ymptotic algebra for affine type A\, focusing on some of the main noveltie
 s of this approach\, including the notion of a balanced system of cell mod
 ules\, combinatorial formulae for induced representations\, and an asympto
 tic version of Opdam's Plancherel Theorem.\n\nPLACE / LIEU\n	Hybride - UQAM
  Salle / Room PK-5115\, Pavillon Président-Kennedy\n\nZOOM\n	https://uqam.z
 oom.us/j/82844931676\n
DTSTART:20240620T193000Z
DTEND:20240620T203000Z
SUMMARY:James Parkinson (Sydney University) 
URL:/mathstat/channels/event/james-parkinson-sydney-un
 iversity-357757
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