Dr. Yuri Santos Rego
Researcher
Otto-von-Guericke-Universität Magdeburg
E-mail: yuri.santos(at)ovgu.de
Telephone: +49 391 67-58138
Homepage: https://www.geometry.ovgu.de/ysantos.htm…
Project
62A unified approach to Euclidean buildings and symmetric spaces of noncompact type
Publications within SPP2026
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