Number Theory Seminar: Brian Conrad

The theory of reductive groups has many applications in number theory, geometry, and representation theory. For some purposes it is natural to consider a more general notion of "pseudo-reductive" group, first studied by Borel & Tits. We will explain the motivation for this (with examples), and discuss the structure theory that has been established in recent years, and mention some applications. If time permits, we'll discuss some more recent developments. This is joint work with O. Gabber and G. Prasad.