Orbits on Homogeneous Spaces of Arithmetic Origin and Approximations
Orbits on Homogeneous Spaces of Arithmetic Origin and Approximations
<!-- *** Custom HTML *** --> We prove an $S$-arithmetic version, in the context of algebraic groups defined over number fields, of Ratner's theorem for closures of orbits of subgroups generated by unipotent elements. We apply this result in order to obtain a generalization of results of Margulis and of …