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### Quantum Differential Equation for Slices in the Affine Grassmannian

**Algebraic Geometry**

Speaker: | Ivan Danilenko, UC Berkeley |

Related Webpage: | https://math.berkeley.edu/people/faculty/ivan-danilenko |

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.