Jack Smith (Cambridge) will speak in the geometry seminar at 2pm in the Salle des Profs (9th floor, building NO) on 31/01/2023. Note we expect to have two seminars on this day, with Guillem Cazassus speaking at 11am in the morning. More news on Guillem’s talk when we have it! Jack’s title is “Generating the Fukaya category via enriched coefficients” and his abstract is below.
(Note Guillem’s talk has now been postponed to a later date.) Jack’s talk will go ahead as planned!
An important problem in symplectic topology is to identify Lagrangian submanifolds that generate the Fukaya category. Abouzaid and Sheridan gave a beautiful answer in terms of the Hochschild cohomology of the Lagrangians and the closed-open string map from quantum cohomology, but it is difficult to compute these in practice. After saying a bit about what these objects are and why they’re hard, I will explain some new results relating them to Floer cohomology with enriched coefficients, which is geometrically natural and much easier to calculate. I will also describe some applications.