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SUMMARY:C⁰-symplectic topology and the Arnold conjecture. - Vincent Humi
 liere\, Jussieu
DTSTART:20160511T150000Z
DTEND:20160511T160000Z
UID:TALK65635@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION: According to the now established Arnold conjecture\, the numb
 er of fixed points of a Hamiltonian diffeomorphism is always greater than 
 a certain value that only depends on the topology of the manifold. In any 
 case\, this value is at least 2. Does the same hold if we drop the smoothn
 ess assumption? After introducing symplectic/Hamiltonian homeomorphisms\, 
 I will sketch the construction of a Hamiltonian homeomorphism with only on
 e fixed point on any closed symplectic manifold of dimension at least 4. T
 his is joint work with Lev Buhovsky and Sobhan Seyfaddini.
LOCATION:MR13
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