The Fukaya category of a log symplectic surface, by C. Kirchhoff-Lukat

in

25 Mar 2025, 14:00 CET. Talk by Charlotte Kirchhoff-Lukat.

Abstract: Floer theory and Fukaya categories constitute powerful invariants of symplectic manifolds. As a first step in the effort to extend these techniques to Poisson structures with degeneracies, I will present the construction of the Fukaya category for log symplectic Poisson structures on oriented surfaces, with a focus on the additional features of the theory arising from the degeneracy locus.