Stable homotopy theory and Floer theory

Stable homotopy theory and Floer theory

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Thomas Kragh , Uppsala University
IAS Room S-101

In this talk I will define and explain some basic notions from stable homotopy theory, and illustrate how it relates to (and refines) the notion of Floer homology in some simple cases. I will also discuss what extra kind of information this refinement contains and describe an explicit situation where it provides a stronger result than the usual homological invariants (joint work with Mohammed Abouzaid).