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DTSTART;TZID=America/Toronto:20250320T140000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-an
 d-enumerative-combinatorics-seminar-allen
SUMMARY:Algebraic and enumerative combinatorics seminar-Allen Knutson
CLASS:PUBLIC
DESCRIPTION:TITLE: Schubert calculus by counting puzzles\n\nSpeaker\n Alle
 n Knutson\n\nAffiliation\n Cornell\n\nLocation\n MC 5479\n\n ABSTRACT: T
 here are three rings-with-bases whose multiplicative\nstructure constants 
 are computed by the same rule: the cohomology ring\nof the Grassmannian Gr
 (k\,n)\, the representation ring of GL_k (made by\nstabilizing the previou
 s in n)\, and one made by summing all\nrepresentation rings of the symmetr
 ic groups (made by stabiliizing the\nprevious in k). The most famous rules
 \, typically involving counting\nYoung tableaux\, are for the most stable 
 version\, but the unstable\nversion admits the most generalizations\, to K
 -theory\, equivariant\ncohomology\, quantum cohomology\, and to other homo
 geneous varieties.\nI'll explain how to compute the multiplication in many
  of these cases\nby counting \"puzzles\".\n\nThis work is joint with Terry
  Tao and Paul Zinn-Justin.\n\nTHERE WILL BE A PRE-SEMINAR PRESENTING RELEV
 ANT BACKGROUND AT THE\nBEGINNING GRADUATE LEVEL STARTING AT 1PM\,
DTSTAMP:20260403T082721Z
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