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SUMMARY:Iva Halacheva (Northeastern University)
DTSTART:20200601T200000Z
DTEND:20200601T210000Z
DTSTAMP:20260423T005713Z
UID:ADM-Davis/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ADM-Davis/9/
 ">Self-dual puzzles in Schubert calculus branching</a>\nby Iva Halacheva (
 Northeastern University) as part of UC Davis algebra & discrete math semin
 ar\n\n\nAbstract\nIn classical Schubert calculus\, Knutson and Tao’s puz
 zles are a combinatorial tool that gives a positive rule for expanding the
  product of two Schubert classes in equivariant cohomology of the (type A)
  Grassmannian. I will describe a positive rule that uses self-dual puzzles
  to compute the restriction of a Grassmannian (type A) Schubert class to t
 he symplectic (type C) Grassmannian in equivariant cohomology. The proof u
 ses the machinery of quantum integrable systems. I will also discuss a gen
 eralization in which the Grassmannians are upgraded to their cotangent bun
 dles and Schubert classes—to Segre-Schwartz-MacPherson classes. The resu
 lting construction involves Lagrangian correspondences and produces a gene
 ralized puzzle rule with a geometric interpretation. This is joint work wi
 th Allen Knutson and Paul Zinn-Justin.\n
LOCATION:https://researchseminars.org/talk/ADM-Davis/9/
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