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CATEGORIES:Directions in Research Talks
SUMMARY:Symplectic topology and Floer homology - Richard H
arris (DPMMS)
DTSTART;TZID=Europe/London:20091109T160000
DTEND;TZID=Europe/London:20091109T170000
UID:TALK20870AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/20870
DESCRIPTION:Symplectic geometry grew out of attempts to unders
tand questions in classical mechanics\, but has un
dergone something of a revolution over the past 25
years and now touches many diverse areas of maths
including knot theory and string theory.\n\nI sha
ll begin by defining the basic notions of symplect
ic geometry before giving a brief overview of clas
sical Morse theory as motivation for Floer homolog
y\, a wonderfully powerful tool in the field. I wi
ll use this theory to sketch a proof of the Arnold
conjecture on the existence of closed Hamiltonian
orbits. If there is any time at the end\, I may s
ay some very brief words about other variants of F
loer homology and their role in Homological Mirror
Symmetry.
LOCATION:MR5\, Centre for Mathematical Sciences
CONTACT:Alexander Shannon
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