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# Thomas Kragh: Lagrangian intersection theory, Curved A_\infty algebras, and a possible lift to spectra.

Second "Wednesday Stockholm Zoom Seminar"

Tid: On 2020-04-29 kl 13.14

Föreläsare: Thomas Kragh, Uppsala universitet

## Abstract

I will start by describing the ideas involved in constructing Quantum cohomology and intersection Floer homology. I will then talk about the differences between these two and how the latter leads to the notion of curved $$A_\infty$$ algebras (the former does not). I will then discuss an explicit model for handling curved $$A_\infty$$ algebras and how we hope to lift this to spectra - with the ultimate goal of lifting intersection Floer homology itself to a construction in spectra. This is joint work with M. Abouzaid and A. Blumberg.