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A stack of broken lines, associativity, and Morse theory of a point

Algebraic Geometry

Speaker: Hiro Lee Tanaka, Harvard
Location: 2112 MSB
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.