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UID:20260624T113020EDT-7757vHHmhG@132.216.98.100
DTSTAMP:20260624T153020Z
DESCRIPTION:Title: Smith theory in Floer homology\, persistence\, and dynam
 ics\n	Abstract: Recent years have seen a renewed interest in a classical to
 pological inequality that originated in the work of P. A. Smith\, extended
  to the framework of Floer homology. We describe such inequalities in the 
 setting of persistence modules obtained from Floer homology\, and their re
 cent applications to questions in Hamiltonian dynamics. In particular\, we
  show that for a class of symplectic manifolds including complex projectiv
 e spaces\, a Hamiltonian diffeomorphism with more fixed points\, counted s
 uitably\, than the dimension of the ambient homology\, must have an infini
 te number of simple periodic points. This is a higher-dimensional homologi
 cal generalization of a celebrated result of Franks from 1992\, as conject
 ured by Hofer and Zehnder in 1994. Time permitting\, we may discuss furthe
 r\, very recent\, related results\n
DTSTART:20200228T183000Z
DTEND:20200228T193000Z
LOCATION:Room PK-5115 \, CA\, Pavillon President-Kennedy
SUMMARY:Egor Shelukhin (Universite de Montreal)
URL:/mathstat/channels/event/egor-shelukhin-universite
 -de-montreal-320742
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