Group actions on nonpositively curved simplicial complexes

Geometric Group Theory Seminar
Tue, November 22, 2022
4:00 pm - 5:00 pm
MA 105

Title:  Group actions on nonpositively curved simplicial complexes

Speaker:  Thomas Haettel (University of Montpellier)

Abstract:  I will focus on metric spaces which admit a convex unique bicombing (CUB) spaces, which generalize notably CAT(0) spaces. I will present a link condition for simplicial complexes stating essentially that the links of vertices are lattices. I will present some applications of this criterion, which include notably Euclidean buildings, braid groups, Garside groups, Deligne complexes of some Artin groups, some curve complexes.