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SUMMARY:Soichi Okada (Nagoya University)
DTSTART:20230314T013000Z
DTEND:20230314T023000Z
DTSTAMP:20260423T021224Z
UID:OISTRTS/47
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/47/"
 >Intermediate symplectic characters and enumeration of shifted plane parti
 tions</a>\nby Soichi Okada (Nagoya University) as part of OIST representat
 ion theory seminar\n\n\nAbstract\nThe intermediate symplectic characters\,
  introduced by R. Proctor\, interpolate between Schur functions and symple
 ctic characters. They arise as the characters of indecomposable representa
 tions of the intermediate symplectic group\, which is defined as the group
  of linear transformations fixing a (not necessarily non-degenerate) skew-
 symmetric bilinear form. In this talk\, we present Jacobi-Trudi-type deter
 minant formulas and bialternant formulas for intermediate symplectic chara
 cters. By using the bialternant formula\, we can derive factorization form
 ulas for sums of intermediate symplectic characters\, which allow us to gi
 ve a proof and variations of Hopkins' conjecture on the number of shifted 
 plane partitions of double-staircase shape with bounded entries.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/47/
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