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SUMMARY:On the Greenfield-Wallach and Katok conjectures - Flaminio\, L (Un
 iversit Lille 1)
DTSTART:20140701T123000Z
DTEND:20140701T132000Z
UID:TALK53260@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:In the early 70's\, Greenfield and Wallach studied fields glob
 ally\n  hypo-elliptic vectors fields on compact manifolds and made the fol
 lowing\n  conjecture :\n\n  ``Let $ G $ be a Lie group and let $ H $ be a 
 closed subgroup Such That $G/H\n  $ is compact.  Let $ X ^ * $ be the vect
 or field on $ G / H $ determined by\n  some element $X$ in the Lie algebra
  of $G$. Given by If $ X ^ * $ is globally\n  hypo-elliptic\, then $ G / H
  $ is a torus.''\n\n  In a work in collaboration with F.~Rodriguez-Hertz a
 nd G. Forni\,\n  we gave a positive solution to this problem.\n  In this t
 alk I will recall  thistory of the problem\, wxplain its relation with Kat
 ok's conjecture\n  on cohomologically free vector fields and give some ide
 a of the proof.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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