BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Counting limit theorems for representations of Gromov-hyperbolic g
 roups - Çağrı Sert (Universität Zürich)
DTSTART:20231129T160000Z
DTEND:20231129T170000Z
UID:TALK206701@talks.cam.ac.uk
CONTACT:Oscar Randal-Williams
DESCRIPTION:Let $\\Gamma$ be a Gromov-hyperbolic group and $S$ a finite sy
 mmetric generating set. The choice of $S$ determines a metric on $\\Gamma$
  (namely the graph metric on the associated Cayley graph). Given a represe
 ntation $\\rho: \\Gamma \\to \\GL_d(\\R)$\, we are interested in obtaining
  probabilistic limit theorems for the deterministic sequence of spherical 
 averages (with respect to $S$-metric) for various numerical quantities (su
 ch as Euclidean norm) associated to elements of $\\Gamma$ via the represen
 tation. We will discuss a general law of large numbers and more refined li
 mit theorems such as central limit theorem and large deviations.  The conn
 ections with the results of Lubotzky--Mozes--Raghunathan and Kaimanovich--
 Kapovich--Schupp will also be discussed. Joint work with Stephen Cantrell.
LOCATION:MR13
END:VEVENT
END:VCALENDAR