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SUMMARY:Elizabeth Milićević (Haverford College)
DTSTART:20241011T180000Z
DTEND:20241011T190000Z
DTSTAMP:20260421T094557Z
UID:MAAGC2024/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAAGC2024/1/
 ">Crystal chute moves on pipe dreams</a>\nby Elizabeth Milićević (Haverf
 ord College) as part of MAAGC 2024\n\n\nAbstract\nSchubert polynomials rep
 resent a basis for the cohomology of the complete flag variety. In this co
 ntext\, Schubert polynomials are generating functions over various combina
 torial objects\, such as rc-graphs or reduced pipe dreams.  By restricting
  Bergeron and Billey’s chute moves on rc-graphs\, we define a Demazure c
 rystal structure on the monomials of a Schubert polynomial.  As a conseque
 nce\, we provide a new method for decomposing Schubert polynomials as sums
  of key polynomials.  These results complement related work of Assaf and S
 chilling via reduced factorizations with cutoff\, as well as Lenart’s co
 plactic operators on biwords.  No prior knowledge of either key polynomial
 s or crystals will be assumed in this talk.\n
LOCATION:https://researchseminars.org/talk/MAAGC2024/1/
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