In the 90s Givental and Kim showed how to compute the quantum cohomology of the flag variety G/B in terms of the conservation laws for the Toda lattice of the Langlands dual group G^L. Later Braverman showed how this result follows naturally from an action of the universal enveloping algebra of g^L on the moduli space of based quasimaps into G/B. In this talk I will give an exposition of Braverman's result and briefly explain a generalization due to Bullimore, Dimofte, myself, Gaiotto, and Kim.

### Math-Physics Joint Seminar

Tuesday, January 24, 2017 - 4:30pm

#### Justin Hilburn

University of Pennsylvania