94 citations · 159 across the 15 of their papers we have counts for
15 papers
Quasi-isometric invariance of continuous group -cohomology, and first applications to vanishings
Marc Bourdon, Bertrand Remy
We show that the continuous -cohomology of locally compact second countable groups is a quasi-isometric invariant. As an application, we prove partial results supporting a pos…
Wonderful compactifications of Bruhat-Tits buildings
Bertrand Remy, Amaury Thuillier, Annette Werner
Given a split semisimple group over a local field, we consider the maximal Satake-Berkovich compactification of the corresponding Euclidean building. We prove that it can be equiva…
On some pro-p groups from infinite-dimensional Lie theory
Inna Capdeboscq, Bertrand Remy
We initiate the study of some pro-p-groups arising from infinite-dimensional Lie theory. These groups are completions of some subgroups of incomplete Kac-Moody groups over finite f…
Simplicity of twin tree lattices with non-trivial commutation relations
Pierre-Emmanuel Caprace, Bertrand Remy
We prove a simplicity criterion for certain twin tree lattices. It applies to all rank two Kac-Moody groups over finite fields with non-trivial commutation relations, thereby yield…
Bruhat-Tits buildings and analytic geometry
Bertrand Remy, Amaury Thuillier, Annette Werner
This paper provides an overview of the theory of Bruhat-Tits buildings. Besides, we explain how Bruhat-Tits buildings can be realized inside Berkovich spaces. In this way, Berkovic…
On the distortion of twin building lattices
Pierre-Emmanuel Caprace, Bertrand Remy
We show that twin building lattices are undistorted in their ambient group; equivalently, the orbit map of the lattice to the product of the associated twin buildings is a quasi-is…