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UID:1b27a11afa11ac3746370b2ca5fdb2bd
CATEGORIES:Symplectic Geometry Seminar
CREATED:20240229T080525
SUMMARY:Topological entropy, barcodes and Floer theory
LOCATION:Hill 705
DESCRIPTION:<ul style="list-style-type: square; padding: 0px; margin: 6px 0px 0px; colo
 r: #000000; font-family: sans-serif; font-size: 16px; font-weight: 400; let
 ter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-
 transform: none; widows: 2; word-spacing: 0px; white-space: normal;"><li st
 yle="margin: 0px 0px 0px 15pt; outline: none; position: relative; text-deco
 ration: inherit; color: #212121; font-size: 11pt; font-style: inherit; font
 -weight: 400; font-family: Lato, sans-serif; line-height: 0; padding-top: 0
 px; padding-bottom: 0px;"></li></ul><p style="margin: 12px 0px 0px 15pt; ou
 tline: none; position: relative; color: #212121; font-size: 11pt; font-weig
 ht: 400; font-family: Lato, sans-serif; line-height: 1.6667; letter-spacing
 : normal; orphans: 2; text-align: start; text-indent: 0pt; text-transform: 
 none; widows: 2; word-spacing: 0px; white-space: normal;">Abstract:&nbsp;To
 pological entropy is one of the fundamental invariants of a dynamical syste
 m, measuring the orbit complexity. In this talk, we discuss a connection be
 tween the topological entropy of compactly supported Hamiltonian diffeomorp
 hisms and Floer theory. Namely, we introduce a new invariant associated wit
 h the Floer complexes of the iterates of such a diffeomorphism, which we ca
 ll barcode entropy. We show that barcode entropy is closely related to topo
 logical entropy and that these invariants are equal in dimension two. We al
 so touch upon applications of the methods to some other questions in symple
 ctic topology. The talk is based on joint work with Erman Cineli and Viktor
  Ginzburg.</p>
CONTACT: Basak Gurel (University of Central Florida)
DTSTAMP:20260828T114631
DTSTART;TZID=America/New_York:20240229T133000
DTEND;TZID=America/New_York:20240229T143000
SEQUENCE:0
TRANSP:OPAQUE
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