Proper actions of discrete groups of affine transformations
arXiv:2002.09520 · doi:10.7208/chicago/9780226804163.003.0004
Abstract
In the early 1980's Margulis startled the world by showing the existence of proper affine actions of free groups on 3-space, answering a provocative and suggestive question Milnor posed in 1977. In this paper we discuss the historical background motivating this question, recent progress on this subject, and future directions inspired by this discovery.
74 pages, 8 figures. Solicited for: Dynamics, Geometry, Number Theory: the Impact of Margulis on Modern Mathematics