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SUMMARY:Joshua Jeishing Wen (Northeastern)
DTSTART:20220908T185000Z
DTEND:20220908T195000Z
DTSTAMP:20260423T022921Z
UID:GPRTatNU/55
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/55/
 ">Wreath Macdonald operators</a>\nby Joshua Jeishing Wen (Northeastern) as
  part of Geometry\, Physics\, and Representation Theory Seminar\n\n\nAbstr
 act\nDefined by Haiman\, wreath Macdonald polynomials are generalizations 
 of Macdonald polynomials to wreath products of symmetric groups with a fix
 ed cyclic group. Using a wreath analogue of the Frobenius characteristic\,
  they can be viewed as partially-symmetric functions. Relatively little is
  known about them. In this talk\, we present novel difference operators th
 at are diagonalized on the wreath Macdonald polynomials. Their formulas ar
 e quite complicated\, but they give strong evidence that bispectral dualit
 y holds in the wreath case. This is joint work with Daniel Orr and Mark Sh
 imozono.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/55/
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