London Algebra Colloquium abstract

Classifying amalgams of linear groups and generalizations

Corneliu Hoffman (Birmingham), 10th February 2011

Abstract

The Curtis–Tits theorem (in its more general form due to Abramenko and Mühlherr) proves that a Kac–Moody group is the universal completion of an amalgam of certain small rank Chevalley groups. This amalgam turns out to be unique in all spherical cases. In general however this is not the case. This talk describes joint work with R. Blok classifying such amalgams and applications to expanders.