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SUMMARY:Steven Karp (UQAM)
DTSTART:20210520T170000Z
DTEND:20210520T180000Z
DTSTAMP:20260423T052832Z
UID:combisem/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/combisem/36/
 ">q-Whittaker functions\, finite fields\, and Jordan forms</a>\nby Steven 
 Karp (UQAM) as part of Algebraic and enumerative combinatorics seminar\n\n
 \nAbstract\nThe q-Whittaker symmetric function associated to an integer pa
 rtition is a q-analogue of the Schur symmetric function. We give a new for
 mula for the q-Whittaker function in terms of partial flags compatible wit
 h a nilpotent endomorphism over the finite field of size 1/q. We show that
  considering pairs of partial flags and taking Jordan forms leads to a pro
 babilistic bijection between nonnegative-integer matrices and pairs of sem
 istandard tableaux of the same shape\, which we call the q-Burge correspon
 dence. In the q -> 0 limit\, we recover a known description of the classic
 al Burge correspondence (also called column RSK). This is joint work with 
 Hugh Thomas.\n
LOCATION:https://researchseminars.org/talk/combisem/36/
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