Representation theory, gauge theory, and integrable systems

Session

Changjian Su: Homology of affine Grassmannian and quantum cohomology

Feb 8, 2019, 9:30 AM

Lecture Hall(1F), Kavli IPMU

Description

Let $G$ be a complex reductive group, and $X$ be a smooth projective $G$-variety. We will construct an algebra homomorphism from the homology of the affine Grassmannian $Gr_G$ to the G-equivariant quantum cohomology of $X$. The construction uses shift operators in quantum cohomolgies. Joint work with Alexander Braverman.

8. Homology of affine Grassmannian and quantum cohomology

Changjian Su

2/8/19, 9:30 AM

Let $G$ be a complex reductive group, and $X$ be a smooth projective $G$-variety. We will construct an algebra homomorphism from the homology of the affine Grassmannian $Gr_G$ to the G-equivariant quantum cohomology of $X$. The construction uses shift operators in quantum cohomolgies. Joint work with Alexander Braverman.