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SUMMARY:Benjamini-Schramm convergence of arithmetic orbifolds. - Mikolaj  
 Fraczyk (Université Paris Saclay)
DTSTART:20170419T090000Z
DTEND:20170419T100000Z
UID:TALK71970@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Let X be the a symmetric space. We say that a sequence of loca
 lly symmetric spaces Benjamini-Schramm converges to X if for any real numb
 er R the fraction of the volume taken by the R-thin part tends to 0. In my
  thesis I showed that for a cocompact\, congruence arithmetic hyperbolic 3
 -manifold the volume of the R-thin part is less than a power less than one
  of the total volume. As a consequence\, any sequence of such manifolds Be
 njamini-Schramm converges to hyperbolic 3-space. I will give some topologi
 cal applications of this result. Lastly\, I will discuss Benjamini-Schramm
  convergence of congruence arithmetic orbifolds covered by the symmetric s
 paces of real rank 1.  &nbsp\;  (joint work with Jean Raimbault).  <br><br
 ><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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