# Representation theory, gauge theory, and integrable systems

3-8 February 2019
Lecture Hall(1F), Kavli IPMU
Asia/Tokyo timezone

## Homology of affine Grassmannian and quantum cohomology

8 Feb 2019, 09:30
1h
Lecture Hall(1F), Kavli IPMU

Changjian Su

### 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.

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