Algebra/Topology seminar

Speaker: Hiro Lee Tanaka (Harvard)

Title: Broken lines and associative algebras

Abstract: After a biased review of Morse theory, I will talk about a stack that naturally arises when contemplating Morse theory on a point. Surprisingly, this stack has the following property (our main theorem): A factorizable sheaf on this stack is the same thing as an associative algebra. As we will explain, this equivalence gives a gateway into enriching Lagrangian Floer theory over spectra, and hence into more powerful invariants in symplectic geometry. This is joint work with Jacob Lurie.