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X-WR-CALNAME:Joint seminar: Dusa McDuff: \"Symplectic embeddings of 4-di
 mensional ellipsoids\nand Farey numbers\"
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TZID:America/New_York
LAST-MODIFIED:20080228T195035Z
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DURATION:PT1H
LOCATION:Math 520\, Columbia University
DTSTAMP:20080228T195028Z
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SEQUENCE:8
DTSTART;TZID=America/New_York:20080307T130000
SUMMARY:Joint seminar: Dusa McDuff: \"Symplectic embeddings of 4-dimensi
 onal ellipsoids\nand Farey numbers\"
DESCRIPTION:Abstract: I will explain why the problem of symplectically e
 mbedding one 4-dimensional ellipsoid into another is equivalent to the p
 roblem of embedding a certain disjoint union of balls into another ball.
  (The basic idea is to desingularize the weighted projective plane that 
 is obtained from the ellipsoid by collapsing its boundary along the char
 acteristc flow.) The ball embedding problem is in principle solved\; I w
 ill discuss some explicit examples. I hope also to be able to explain ho
 w one can use the same idea to construct symplectomorphisms of weighted 
 projective planes\, and hence construct some new 6-dimensional Hamiltoni
 an S^1-manifolds.
ORGANIZER;CN="Robert Lipshitz":mailto:lipshitz@math.stanford.edu
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