Floer Homotopy Theory MSRI Introductory Workshop

at.algebraic-topology gt.geometric-topology sg.symplectic-geometry
Start Date
2022-09-12 
End Date
2022-09-16 
Institution
MSRI 
City
Berkeley, CA 
Country
USA 
Meeting Type
conference 
Homepage
http://www.msri.org/workshops/975 
Contact Name
Sheel Ganatra, Tyler Lawson, Robert Lipshitz, Nathalie Wahl 

Description

Over the last decade, there has been a wealth of new applications of homotopy-theoretic techniques to Floer homology in low-dimensional topology and symplectic geometry, including Manolescu’s disproof of the high-dimensional Triangulation Conjecture and Abouzaid-Blumberg’s proof of the Arnol’d Conjecture in finite characteristic. Conversely, results in Floer theory and categorification have opened new directions of research in homotopy theory, from string topology to S-Lie algebras. The goal of this workshop is to introduce researchers in Floer theory to modern techniques and questions in homotopy theory and, conversely, introduce researchers in homotopy theory to ideas underlying Floer theory and its applications.

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