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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > The stack "Broken" and associative algebras
The stack "Broken" and associative algebrasAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact INI IT. This talk has been canceled/deleted After reviewing some aspects of Morse theory, I'll talk about “Broken,” the moduli stack of constant Morse trajectories (possibly broken) on a point. Surprisingly, this stack has the following property: Factorizable sheaves on it are the same thing as (possibly non-unital) associative algebras. We all know that having geometric descriptions of algebraic structures should buy us mileage; so what mileage does this property buy us? If time allows, I'll try to explain why this theorem leads to a roadmap for constructing Morse chain complexes, and in fact, for constructing the stable homotopy type of a compact manifold with a Morse function. (That is, this gives a different way to realize ideas of Cohen-Jones-Segal.) The motivation is to construct a stable homotopy type for Lagrangian Floer Theory—the latter is an important invariant in symplectic geometry and mirror symmetry. This is all joint work with Jacob Lurie. This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:This talk is not included in any other list Note that ex-directory lists are not shown. |
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