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Quantum Differential Equation for Slices in the Affine Grassmannian

Algebraic Geometry

Speaker: Ivan Danilenko, UC Berkeley
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Location: 1147 MSB
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.