On a conjectural Peterson isomorphism in quantum K-theory


Changzheng Li

10:40 - 11:30

101 , Mathematics Research Center Building (ori. New Math. Bldg.)

The Peterson's isomorphism says that the torus-equivariant of quantum cohomology of a complete flag variety is essential isomorphic to the torus-equivariant homology of the associated affine Grassmannian. In this talk, we will formulate a precise conjecture of the Peterson isomorphism on the level of quantum K-theory, and will provide some evidence. This is my on-going joint work with Thomas Lam, Leonardo Mihalcea and Mark Shimozono.