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UID:20250712T173401EDT-8183GGkuHP@132.216.98.100
DTSTAMP:20250712T213401Z
DESCRIPTION:Title:Topological entropy of Hamiltonian diffeomorphisms: a per
 sistence homology and Floer theory perspective\n\nAbstract:In this talk I 
 will introduce barcode entropy and discuss its connections to topological 
 entropy. The barcode entropy is a Floer-theoretic invariant of a compactly
  supported Hamiltonian diffeomorphism\, measuring\, roughly speaking\, the
  exponential growth under iterations of the number of not-too-short bars i
 n the barcode of the Floer complex. The topological entropy bounds from ab
 ove the barcode entropy and\, conversely\, the barcode entropy is bounded 
 from below by the topological entropy of any hyperbolic locally maximal in
 variant set. As a consequence\, the two quantities are equal for Hamiltoni
 an diffeomorphisms of closed surfaces. The talk is based on a joint work w
 ith Viktor Ginzburg and Basak Gurel.\n\n \n\n \n\nZoom : https://theias.zo
 om.us/j/97116147750?pwd=L2Fud1Y4Z2xsT3dhU2NrV0ZXd3lUQT09 (Meeting ID: 971 
 1614 7750 \; Passcode: 816898)\n
DTSTART:20220225T141500Z
DTEND:20220225T154500Z
SUMMARY:Erman Cineli (Paris)
URL:/mathstat/channels/event/erman-cineli-paris-337951
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