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A stack of broken lines, associativity, and Morse theory of a point
Algebraic Geometry and Number Theory| 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.