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...

We will discuss a conjecture stating that given a finitely generated field K equipped with a divisorial set of valuations V, an absolutely almost simple algebraic K-group G has only finitely many...