USC Topology Seminar: Shift operators for the cotangent bundles of flag varieties
About this Event
3620 South Vermont Avenue, Los Angeles, CA 90089
Chi Hong Chow, Virginia Tech
Title: Shift operators for the cotangent bundles of flag varieties
Abstract: Shift operators are operators on the quantum cohomology of T-varieties and have been proved useful in mirror symmetry. They are upgraded to an affine nilHecke algebra action if the T-action extends to a G-action. For flag varieties, this action is computable in terms of the (affine) Schubert bases and has been applied to Schubert calculus. In this talk, we will discuss the case of the cotangent bundles of these varieties, where the bases are replaced by the stable envelopes. Joint work with Ki Fung Chan, Kwokwai Chan and Chin Hang Eddie Lam.
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