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SUMMARY:Josh Wen
DTSTART:20220412T140000Z
DTEND:20220412T150000Z
DTSTAMP:20260423T005733Z
UID:TRAC/40
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TRAC/40/">An
  invitation to wreath Macdonald polynomials</a>\nby Josh Wen as part of Th
 e TRAC Seminar - Théorie de Représentations et ses Applications et Conne
 ctions\n\n\nAbstract\nMacdonald polynomials are distinguished symmetric fu
 nctions that have played important or useful roles in a wide range of fiel
 ds: combinatorics\, enumerative geometry\, integrable systems\, probabilit
 y\, knot theory\, etc. Defined by Haiman\, wreath Macdonald polynomials ar
 e generalizations of Macdonald polynomials wherein the symmetric groups ar
 e replaced with their wreath products with a fixed cyclic group Z/rZ. I wi
 ll discuss work in progress where\, using the quantum toroidal algebra of 
 rank r\, one can derive analogues of some standard parts of Macdonald theo
 ry: orthogonality\, evaluation formulas\, and difference operators. This i
 s joint work with Daniel Orr and Mark Shimozono.\n
LOCATION:https://researchseminars.org/talk/TRAC/40/
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