Mathematics Colloquia and Seminars
A stack of broken lines, associativity, and Morse theory of a pointAlgebraic Geometry
|Speaker:||Hiro Lee Tanaka, Harvard|
|Start time:||Wed, Mar 13 2019, 1:10PM|
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. We 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.