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Jake Salomon: Open Gromov-Witten theory beyond real enumerative geometry

Date: 2024-06-25

Time: 09:30 - 10:30

Speaker

Jake Salomon, Hebrew University

Abstract

I will discuss a calculation of the open Gromov-Witten disk invariants of the Chiang Lagrangian — a Lagrangian submanifold of three dimensional complex projective space that is not real. Hands-on geometric arguments determine basic invariants. The open WDVV equations determine the rest. Unexpected arithmetic properties of the equations are observed. The invariants calculated exhibit multiple behaviors that are not familiar from other geometries. This is joint work with Hollands, Kosloff, Sela and Shu.