MS Seminar (Mathematics - String Theory)

Speaker: Hiro Tanaka (MSRI Berkeley)
Title: A stack of broken lines, associativity, and Morse theory of a point
Date: Thu, Feb 14, 2019, 15:30 - 17:00
Place: Seminar Room A
Abstract: I will describe a stack classifying broken Morse trajectories on a point; the algebro-geometric analogue is a substack of nodal P^1s with two marked points. I prove that the stack of broken trajectories completely classifies associative algebras; this is a step in a project to enrich the A model over spectra (in the sense of stable homotopy theory). This is joint work with Jacob Lurie.
Remarks: Blackboard talk