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SUMMARY:Spectral gap in simple Lie groups : Clay Mathematics Institute Sen
 ior Scholar Lecture. - Benoist\, Y (Universit Paris-Sud 11)
DTSTART:20140616T150000Z
DTEND:20140616T160000Z
UID:TALK52992@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Consider two matrices a \, b in the orthogonal group SO(d) tha
 t span a dense subgroup. We will first recall that\, in dimension at least
  3\, for n large\, the set of words of length n in a and b become equidist
 ributed in SO(d). We will then see that\, when  the matrices a\, b have al
 gebraic coefficients\, the precision of this equidistribution is exponenti
 ally small in n. This joint work with N. de Saxce extends previous results
  of Bourgain and Gamburd for the unitary groups SU(d).\n
LOCATION:Seminar Room 1\, Newton Institute
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