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SUMMARY:Elliptic methods in Hamiltonian Dynamics\,  and a Poincare-Birkhof
 f theorem for Reeb flows
DTSTART:20160603T151500
DTSTAMP:20260609T204550Z
UID:a49ea161008f47287603ad17593e4faac5031f51018dfcda7b3915be
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Umberto Hryniewicz\, Federal University of Rio de Janeir
 o\, Brésil\nThis talk is intended to be an expository lecture on Floer th
 eory and modern symplectic topology. In the 1980's Floer used elliptic met
 hods to study the "unregularized" gradient flow of the Hamiltonian action 
 functional. This is a breakthrough in overcoming the difficulties of effec
 tively using the action in general symplectic manifolds. I will explain th
 e comparison between Floer theoretical versus classical methods\, and exem
 plify the power of Floer theory with a version of the Poincare-Birkhoff th
 eorem for tight Reeb flows on the three-sphere. This is joint work with Al
  Momin and Pedro A. S. Salomao.
LOCATION:CM010
STATUS:CONFIRMED
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