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SUMMARY:Symplectic topology and Floer homology - Richard Harris (DPMMS)
DTSTART:20091109T160000Z
DTEND:20091109T170000Z
UID:TALK20870@talks.cam.ac.uk
CONTACT:Alexander Shannon
DESCRIPTION:Symplectic geometry grew out of attempts to understand questio
 ns in classical mechanics\, but has undergone something of a revolution ov
 er the past 25 years and now touches many diverse areas of maths including
  knot theory and string theory.\n\nI shall begin by defining the basic not
 ions of symplectic geometry before giving a brief overview of classical Mo
 rse theory as motivation for Floer homology\, a wonderfully powerful tool 
 in the field. I will use this theory to sketch a proof of the Arnold conje
 cture on the existence of closed Hamiltonian orbits. If there is any time 
 at the end\, I may say some very brief words about other variants of Floer
  homology and their role in Homological Mirror Symmetry.
LOCATION:MR5\, Centre for Mathematical Sciences
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