The chromatic Lagrangian

Abstract

The chromatic Lagrangian is a Lagrangian subvariety inside a symplectic leaf of the cluster Poisson moduli space of Borel-decorated PGL(2) local systems on a punctured surface. I will describe the cluster quantization of the chromatic Lagrangian, and explain how it canonically determines wavefunctions associated to a certain class of Lagrangian 3-manifolds L in Kahler \mathbb{C}^3, equipped with some additional framing data. These wavefunctions are formal power series, which we conjecture encode the all-genus open Gromov-Witten invariants of L. Based on joint work with Linhui Shen and Eric Zaslow.

Speaker

Gus Schrader is an Assistant Professor in the Mathematics Department at Northwestern University. He was previously a Ritt Assistant Professor at Columbia, and before that he received the PhD from UC Berkeley and his advisor was Nicolai Reshetikhin.

https://sites.math.northwestern.edu/~gus/