After introducing the basics of stable homotopy theory (also known as the theory of spectra, or as algebra over the sphere), we will motivate the pursuit of stable-homotopy-theoretic invariants in geometry (with a focus on Floer theory and symplectic geometry). If time allows, we will also discuss three different existing approaches to produce Fukaya categories whose coefficients are not integral, but are linear over the sphere.

https://sites.google.com/view/kyoto-symplectic/