BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Recurrence on infinite cyclic coverings - Albert Fathi\, ENS Lyon
DTSTART:20150708T151500Z
DTEND:20150708T161500Z
UID:TALK60006@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:If h is a homeomorphism of the compact space Z which is homoto
 pic to the identity\, and \\tilde{Z}->Z is an infinite cyclic covering\, t
 hen we can lift h to a homeomorphism \\tilde{h} of \\tilde{Z}.\n\nWe will 
 compare the recurrence properties of h and \\tilde{h}. Our main result is 
 is if the chain recurrent set of \\tilde{h} is empty\, then h has a non-tr
 ivial compact attractor. The generalizes work of Franks on the annulus\, a
 nd should be compared with the work of Atkinson in the measurable category
 . It can be considered as a weak generalization of the Poincare-Birkhoff t
 heorem.
LOCATION:MR4
END:VEVENT
END:VCALENDAR