Conference "Global Fields"
October 25 - 28, 2011
Organisers: Philippe Lebacque (Laboratoire de Mathématiques de Besançon ), Michael Tsfasman (CNRS, Laboratoire Poncelet, Institute for Information Transmission Problems), Alexey Zykin (Laboratoire Poncelet, State University Higher School of Economics, IITP)
Tuesday 25 October, 12:00 - 13:30
We study equidistribution of solutions of word equations of the form w(x,y)=g in the family of finite groups SL(2,q). We provide criteria for equidistribution in terms of the trace polynomial of w. This allows us to get an explicit description of the class of words possessing the equidistribution property and show that this property is generic.
This is a joint work with T. Bandman.