Speaker: Trygve Poppe – Norwegian University of Science and Technology
Abstract: Floer homotopy theory aims to extract stable homotopy invariants from certain geometric moduli problems that appear for instance in symplectic topology. Flow categories were introduced for this purpose by Cohen-Jones-Segal in the 90’s. The recent development of a good homotopy theory of flow categories has made the study of these objects more feasible, and of potential interest outside purely symplectic circles. In this expository talk I will motivate the study of flow categories and outline recent work by Abouzaid-Blumberg on the construction of stable $\infty$-categories of flow categories.
Slides from the talk can be found here.