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Seminar

On wrapped Floer homology barcode entropy and hyperbolic sets

Speaker
Rafael Fernandes (UC Santa Cruz)
Date
Mon, Feb 10 2025, 4:00pm
Location
383N
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In this talk, we will discuss the interplay between the wrapped Floer homology barcode and topological entropy. The concept of barcode entropy was introduced by Çineli, Ginzburg, and Gürel and has been shown to be related to the topological entropy of the underlying dynamical system in various settings. Specifically, we will explore how, in the presence of a topologically transitive, locally maximal hyperbolic set for the Reeb flow on the boundary of a Liouville domain, barcode entropy is bounded below by the topological entropy restricted to the hyperbolic set.