Topological Fukaya categories of symmetric powers

Tobias Dyckerhoff -- Topological Fukaya categories of symmetric powers

Abstract: Various categorical descriptions of Fukaya categories can be interpreted as categorifications of corresponding computations of (co)homology. This suggests the possibility for defining and studying suitable classes Fukaya categories within combinatorial-topological categorical frameworks. Based on an ongoing joint project with Gustavo Jasso and Yanki Lekili, we discuss progress towards such a framework for symmetric powers of Riemann surfaces.