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SUMMARY:Quantum spherical functions and Macdonald polynomials\, beyond the
  trivial character [MPIM]
DTSTART:20250603T090000Z
DTEND:20250603T100000Z
DTSTAMP:20260716T204800Z
UID:indico-event-461@math-events.uni-bonn.de
DESCRIPTION:Speakers: Stein Meereboer (Radboud Universiteit Nijmegen)\n\nI
 MPRS seminar extra talk\nA celebrated result by Gail Letzter identifies th
 e zonal spherical functions on quantum symmetric pairs as Macdonald polyno
 mials\, her results unify and generalize earlier identifications made by K
 oornwinder\, Noumi and others. One ingredient that goes into this identifi
 cation is a character\, that is chosen to be trivial. In the classical cas
 e Heckman shows that\, even if the character is nontrivial\, the associate
 d spherical functions correspond to a distinguished family of Heckman–Op
 dam polynomials. The goal of this talk is to present a generalization of L
 etzter’s result to the case where the character is nontrivial. I will fo
 cus on the construction the orthogonal polynomials\, taking the classical 
 case as intuition. Additionally\, I will outline a method for deriving the
  orthogonality measure.\n\nhttps://math-events.uni-bonn.de/event/461/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/461/
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