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CAGE: Philadelphia Area Combinatorics and Alg. Geometry Seminar

Thursday, May 11, 2017 - 3:00pm

Vijay Ravikumar

Chennai Mathematical Institute


University of Pennsylvania


We describe a manifestly positive Pieri rule for the torus-equivariant cohomology of Grassmannians of Lie types B, C, and D. To the best of our knowledge, this is the first such formula for sub-maximal Grassmannians. We also give a simple proof of the equivariant Pieri rule for the (type A) complex Grassmannian. Our method involves reducing equivariant Pieri coefficients to restrictions of special Schubert classes at torus fixed points in the equivariant cohomology ring of a different Grassmannian. This is joint work with Changzheng Li.