CNRS Poncelet

Conference "Global Fields"

October 25 - 28, 2011

Moscow, Russia

 RAS Poncelet

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)

Criteria for equidistribution of solutions of matrix equations

Boris Kunyavskii (Ramat Gan)

Tuesday 25 October, 12:00 - 13:30

Abstract

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.

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