College of Liberal Arts & Sciences

# Topology Seminar

**Abstract: **

The Rabinowitz Floer (co)homology of the boundary at infinity of a Liouville manifold is in some sense a symplectic-geometric analogue of the mapping cone from homology to cohomology. In this talk, I will discuss an $A_{\infty}$-categorical structure based on Rabinowitz Floer theory, which induces a non-trivial product on Rabinowitz Floer cohomology, extensively studied recently by Cieliebak-Oancea. We shall see that this $A_{\infty}$-structure can be algebraically computable from the wrapped Fukaya category, via the construction of the categorical formal punctured neighborhood, proving a conjecture due to Abouzaid.

This is joint work with Sheel Ganatra and Sara Venkatesh.

Zoom Info:

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https://uiowa.zoom.us/j/91957532646

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