Quantum Differential Equation for Slices in the Affine GrassmannianAlgebraic Geometry
|Speaker:||Ivan Danilenko, UC Berkeley|
|Start time:||Tue, Sep 28 2021, 11:00AM|
The quantum differential equation (QDE) is a compatible system of equations arising from Gromov-Witten invariants of a smooth variety. We'll discuss QDEs for a family of holomorphic symplectic varieties called resolutions of slices in the affine Grassmannian. In this case the QDE can be identified with the well-known trigonometric Knizhnik-Zamolodchikov equation. The main goal of the talk is to outline this identification.