Abstract. I will explain how to associate a spectral network to a Demazure weave via Floer theory. Specifically, the talk will present how spectral networks, as introduced by Gaiotto-Moore-Neitzke, arise when computing J-holomorphic strips associated to augmentations of Lagrangian fillings of Legendrian links. In particular, this provides a Floer-theoretical description of Stokes lines in higher rank and with arbitrary irregular Stokes data, not necessarily associated to an algebraic braid. The talk will contain motivation and examples, including the Berk-Nevins-Roberts collision lines in higher rank WKB problems from the symplectic viewpoint as well as connections to cluster algebras and wall-crossing.

URL. This is the website https://www.math.ucdavis.edu/~casals/.