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A. Kresch: “Quantum Cohomology of Miniscule Type-D Grassmannians”

September 22, 2010, 11:17 am

Here are my notes from Kresch’s talk in Bonn:

Kresch_Bonn_Sep_2010

Summary:

  • the orthogonal Grassmannian
  • Schubert varieties are indexed by strict partitions
  • special Schubert classes
  • ring presentations for H^\bullet(OG(n,2n)) and QH^\bullet(OG(n,2n))
  • the connection to algebraic combinatorics via Praguez-Rataiski polynomials
  • quantum Giambelli and quantum Pieri (Kresch-Tamvarkis)
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