Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics
Algebraic Geometry
2013-02-20 v1 Dynamical Systems
Group Theory
Abstract
We present a survey of results on word equations in simple groups, as well as their analogues and generalizations, which were obtained over the past decade using various methods, group-theoretic and coming from algebraic and arithmetic geometry, number theory, dynamical systems and computer algebra. Our focus is on interrelations of these machineries which led to numerous spectacular achievements, including solutions of several long-standing problems.
Cite
@article{arxiv.1302.4667,
title = {Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics},
author = {Tatiana Bandman and Shelly Garion and Boris Kunyavskii},
journal= {arXiv preprint arXiv:1302.4667},
year = {2013}
}
Comments
36 pages