Speaker
Johan Asplund, Stony Brook University
Affiliation
Tim Large recently defined a spectral version of the Fukaya category of a Liouville manifold with coefficients in the sphere spectrum. In this talk I will explain how to generalize Large’s spectral Fukaya category to allow for coefficients in any commutative ring spectrum, and to allow for a larger set of objects. In the larger category we prove that any closed exact Lagrangian in a cotangent bundle is isomorphic to the zero section, generalizing a well-known result over the integers. This is joint work with Yash Deshmukh and Alex Pieloch.