**Celebration of the Gopal Prasad Professorship at the IAS ,**at

**Institute for Advanced Study,**Thursday, May 26, 2022

Recording My presentation on ''Prasad's work in the arithmetic theory of algebraic groups'' starts at 50:40

Recording My presentation on ''Prasad's work in the arithmetic theory of algebraic groups'' starts at 50:40

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...