Open r-spin intersection theory

Abstract: In 1992 Witten conjectured that the intersection theory on the moduli of r-spin curves gives rise to a Gelfand Dickey tau function, and proved his conjecture in genus 0. Recently, in a joint work with Buryak and Clader we made a similar conjecture/construction in the open setting: We conjectured that intersection theory on the moduli of r-spin surfaces with boundaries should give rise to the Gelfand Dickey *wave* function and proved it in genus 0. In my talk I will describe all this, in particular, I'll explain what is an r-spin structure, what is the Gelfand-Dickey hierarchy and what is the motivation. If time permits, a mirror theorem (based on work with Gross and Kelly) will also be shown.

differential geometrydynamical systemsgeometric topologysymplectic geometry

Audience: researchers in the topic

Geometry and Dynamics seminar

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