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Algebraic Geometry Seminar, UC Davis

Iva Halacheva, Northeastern University

Schubert calculus and Lagrangian correspondences

Organizer's time: 2020-11-04 12:00 America/Los_Angeles

Duration: 1 hour

For a reductive algebraic group G, a natural question is to consider the inclusions of partial flag varieties H/Q into G/P and their pullbacks in equivariant cohomology, in terms of Schubert classes. We will look at the case of the symplectic and usual Grassmannian, and describe the pullback map combinatorially using puzzles. A generalization of this construction involves Maulik-Okounkov classes and cotangent bundles of the Grassmannians, with Lagrangian correspondences playing a key role. This is joint work with Allen Knutson and Paul Zinn-Justin.

Note that the talk is at 12:00 PDT, which is different from usual time.

Submitted by: Eugene Gorsky