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X-WR-CALNAME:Isidora Milin: Orderability and (Non)Squeezing in Contact G
 eometry
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LAST-MODIFIED:20071005T231322Z
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DTSTART:20080309T010000
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BEGIN:VEVENT
DURATION:PT1H
LOCATION:Math 507\, Columbia University
DTSTAMP:20071005T231318Z
UID:0E70B13F-1927-4759-81CE-F6BC80FDA50C
SEQUENCE:7
URL;VALUE=URI:http://math.columbia.edu/~lipshitz/SGGT/
DTSTART;TZID=US/Eastern:20071019T130000
SUMMARY:Isidora Milin: Orderability and (Non)Squeezing in Contact Geomet
 ry
DESCRIPTION:Abstract: We say that a contact isotopy of a contact manifol
 d is \"positive\" if during the isotopy each point of the manifold moves
  in a positively transverse direction to the contact hyperplane distribu
 tion. The question of whether this notion induces a partial order on the
  universal cover of the identity component of the contactomorphism group
  - whether the contact manifold is \"orderable\" - turns out to be sensi
 tive to the topology of the\ncontact manifold\, and is related to nonsqu
 eezing phenomena in contact geometry\, as studied by Eliashberg\, Kim an
 d Polterovich.\n\nI will begin by explaining this relation and what we k
 now so far about the orderability question\, and then describe a version
  of contact homology for domains that enables us to detect relevant cont
 act nonsqueezings. This will be illustrated by standard contact sphere (
 not orderable) and lens spaces (orderable)\, and\, if time permits\, by 
 general prequantization spaces. Towards the end\, I will indicate what t
 he analogue of rotation number for a circle diffeomorphism might be in t
 his context.
ORGANIZER;CN="Robert Lipshitz":mailto:lipshitz@math.stanford.edu
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