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DTSTART:20260308T070000
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DTSTART:20261101T060000
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DTSTART;TZID=America/Toronto:20261112T143000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-an
 d-enumerative-combinatorics-seminar-zachary
SUMMARY:Algebraic and Enumerative Combinatorics Seminar | Zachary Hamaker\,
 \nSchubert polynomial formulas via degeneration
CLASS:PUBLIC
DESCRIPTION:SPEAKER:\n Zachary Hamaker\n\nAFFILIATION:\n University of Flor
 ida\n\nLOCATION:\n MC 5417\n\nABSTRACT: Schubert polynomials are monomial
  positive representatives\nfor the classes of Schubert varieties in the co
 mplete flag variety. As\nsuch\, they are a key tool for computation in Sch
 ubert calculus\, an\narea of enumerative algebraic geometry. There are sev
 eral\ncombinatorial proofs of the monomial positivity of Schubert\npolynom
 ials\, but the first geometric explanation came much later in\nfoundationa
 l work of Knutson and Miller. In this talk\, I will discuss\nhow to unders
 tand combinatorial formulas for Schubert polynomials via\nGrobner degenera
 tion. This includes the Knutson-Miller work as well as\nrelated results by
  Klein-Weigandt and some work in progress. Results\nof mine presented come
  from two projects\, one joint with Oliver\nPechenik and Anna Weigandt\, t
 he other with Gabe Udell and Tianyi Yu.\n\nThere will be a pre-seminar pre
 senting relevant background at\nbeginning graduate level starting at 1:30p
 m in MC 5417.
DTSTAMP:20261110T192734Z
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