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SUMMARY:Wencin Poh (UC Davis)
DTSTART:20200928T190000Z
DTEND:20200928T200000Z
DTSTAMP:20260423T005710Z
UID:YUAAS/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/YUAAS/1/">A 
 crystal for stable Grothendieck polynomials</a>\nby Wencin Poh (UC Davis) 
 as part of York University Applied Algebra Seminar\n\n\nAbstract\nWe const
 ruct a type A crystal\, which we call the *-crystal\, whose character is t
 he stable Grothendieck polynomials for fully-commutative permutations.  Th
 is crystal is a K-theoretic generalization of Morse-Schilling crystal on d
 ecreasing factorizations. Using the residue map\, we showed that this crys
 tal intertwines with the crystal on set-valued tableaux given by Monical\,
  Pechenik and Scrimshaw. We also proved that this crystal is isomorphic to
  that of pairs of semistandard Young tableaux using a newly defined insert
 ion called the *-insertion. The insertion offers a combinatorial interpret
 ation to the Schur positivity of the stable Grothendieck polynomials for f
 ully-commutative permutations. Furthermore\, the *-insertion has interesti
 ng properties in relation to row Hecke insertion and the uncrowding algori
 thm. This is joint work with Jennifer Morse\, Jianping Pan and Anne Schill
 ing.\n
LOCATION:https://researchseminars.org/talk/YUAAS/1/
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