Department of

Mathematics


Seminar Calendar
for events the day of Tuesday, May 30, 2017.

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Tuesday, May 30, 2017

11:00 am in 243 Altgeld Hall,Tuesday, May 30, 2017

Equivariant Pieri Rules for Isotropic Grassmannians

Vijay Ravikumar (Chennai Mathematical Institute)

Abstract: 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.