[symbol logo]     University of Sydney
[School of Mathematics and Statistics]
Algebra Seminar
University of Sydney> Maths & Stats> Research> Algebra Seminar> Abstracts


Lisa Carbone
Rutgers University

Group actions on buildings, lattices and Kac-Moody groups

Friday 1st August, 12:05-12:55pm, Carslaw 175.

We will discuss a group associated to a Kac-Moody Lie algebra over a finite field, as constructed by Tits and Carbone-Garland. Such a group is locally compact and totally disconnected and admits an action on its Bruhat-Tits building, which in rank 2 is a homogeneous tree. We also discuss the existence of lattice subgroups in the Kac-Moody group.