After surveying some important consequences of the property of bounded generation (BG) dealing with SS-rigidity, the congruence subgroup problem, etc., we will focus on examples of boundedly generated...
A group is said to have bounded generation (BG) if it is a finite product of cyclic subgroups. We will survey the known examples of groups with (BG) and their properties. We will then report on a...
Abstract. After presenting some generalities on the congruence subgroup problem, I will focus on Prasad's work that completely resolved the problem of computation of the metaplectic kernel and also...
Abstract. The famous theorem of Amitsur characterizes finite-dimensional central division algebras over a given field that have the same splitting fields, including infinite-dimensional ones. The...
Abstract. This talk is a progress report on our worked focused on a new form of rigidity that we call eigenvalue rigidity. The latter is based on the notion of weak commensurability of Zariski-dense...
Abstract. The goal of this lecture series is to present the techniques for analyzing arithmetic and general Zariski-dense subgroups of algebraic groups that were developed in a joint work with Gopal...
Let D be a central division algebra of degree n over a field K. One defines the genus gen(D) of D as the set of classes [D'] in the Brauer group Br(K) where D' is a central division K-algebra of...
Abstract. We discuss the notion of weak commensurability of Zariski-dense subgroups of semi-simple algebraic groups over fields of characteristic zero, which enables one to match in a convenient was...