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Back to Algebraic Geometry Seminar: Spring 2019

Algebraic Geometry Seminar


Date: Tuesday, Feb 19, 2019

Time: 3:30PM - 4:30PM

Location: LCB 222


Eduardo Gonzalez

University of Massachusetts Boston

Title

Stratifications in gauged Gromov-Witten theory

Abstract

Let G be a reductive group and X be a smooth projective G-variety. In classical geometric invariant theory (GIT), there are stratifications of X that can be used to understand the geometry of the GIT quotients X//G and their dependence on choices. In this talk, after introducing basic theory, I will discuss the moduli of gauged maps, their relation to the Gromov-Witten theory of GIT quotients X//G and work in progress regarding stratifications of the moduli space of gauged maps as well as possible applications to quantum K-theory. This is joint work with D. Halpern-Leistner, P. Solis and C. Woodward.

Algebraic Geometry

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