The aim of the project is to provide a uniform framework which allows us to treat Riemannian symmetric spaces of noncompact type and Euclidean buildings on an equal footing. We will in particular consider the question of the extension of automorphisms at infinity, filling properties of S-arithmetic groups, and Kostant Convexity from an unified viewpoint.
Publications
Let K be a number field with ring of integers D and let G be a Chevalley group scheme not of type E8, F4 or G2. We use the theory of Tits buildings and a result of Tóth on Steinberg modules to prove that H^vcd(G(D);Q)=0 if D is Euclidean.
Related project(s):
62A unified approach to Euclidean buildings and symmetric spaces of noncompact type
Team Members
Isobel Davies
Doctoral student
Otto von Guericke Universität Magdeburg
isobel.davies(at)ovgu.de
Prof. Dr. Linus Kramer
Project leader
WWU Münster
linus.kramer(at)wwu.de
Dr. Yuri Santos Rego
Researcher
Otto-von-Guericke-Universität Magdeburg
yuri.santos(at)ovgu.de
Prof. Dr. Petra Schwer
Project leader
Otto von Guericke Universität Magdeburg
petra.schwer(at)ovgu.de