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SUMMARY:Floer homology\, group orders\, and taut foliations of hyperbolic 
 3-manifolds - Nathan  Dunfield (University of Illinois at Urbana-Champaign
 )
DTSTART:20170130T140000Z
DTEND:20170130T150000Z
UID:TALK70406@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:A bold conjecture of Boyer-Gorden-Watson and others posit that
  for any irreducible rational homology 3-sphere M the following three cond
 itions are equivalent: (1) the fundamental group of M is left-orderable\, 
 (2) M has non-minimal Heegaard Floer homology\, and (3) M admits a co-orie
 ntable taut foliation. Very recently\, this conjecture was established for
  all graph manifolds by the combined work of Boyer-Clay and Hanselman-Rasm
 ussen-Rasmussen-Watson. I will discuss a computational survey of these pro
 perties involving half a million hyperbolic 3-manifolds\, including new or
  at least improved techniques for computing each of these properties.&nbsp
 \;
LOCATION:Seminar Room 1\, Newton Institute
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