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SUMMARY:Jonah Blasiak (Drexel University)
DTSTART:20231202T140000Z
DTEND:20231202T150000Z
DTSTAMP:20260423T005825Z
UID:MAAGC2023/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAAGC2023/3/
 ">Catalania</a>\nby Jonah Blasiak (Drexel University) as part of MAAGC 202
 3\n\nLecture held in Temple 1160 VCU Monroe Park Campus.\n\nAbstract\nMany
  well-known formulas in symmetric function theory such as\nthose for Hall-
 Littlewood polynomials and the Weyl character formula\ninvolve a product o
 ver all positive roots. Replacing this product with one over an upper orde
 r ideal of positive roots (of which there are Catalan many) yields new fam
 ilies of polynomials.\nWe will see how this idea leads to elegant formulas
  for $k$-Schur functions\, their  $K$-theoretic versions\, $\\nabla s_\\la
 mbda$\, and Macdonald polynomials\, and explore how such formulas can pave
  the way to positive combinatorics.\n
LOCATION:https://researchseminars.org/talk/MAAGC2023/3/
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