14 citations · 20 across the 6 of their papers we have counts for
6 papers
An intrinsic characterization of Bruhat-Tits buildings inside analytic groups
Bertrand Rémy, Amaury Thuillier, Annette Werner
Given a semisimple group over a complete non-Archimedean field, it is well known that techniques from non-Archimedean analytic geometry provide an embedding of the corresponding Br…
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…
Automorphisms of Drinfeld half-spaces over a finite field
Bertrand RÉMY, Amaury Thuillier, Annette Werner
We show that the automorphism group of Drinfeld's half-space over a finite field is the projective linear group of the underlying vector space. The proof of this result uses analyt…
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…
Bruhat-Tits theory from Berkovich's point of view. II. Satake compactifications
Bertrand Remy, Amaury Thuillier, Annette Werner
In our previous paper "Bruhat-Tits theory from Berkovich's point of view. I ? Realizations and compactifications of buildings", we investigated realizations of the Bruhat-Tits buil…
Bruhat-Tits Theory from Berkovich's Point of View. I - Realizations and Compactifications of Buildings
Bertrand Rémy, Amaury Thuillier, Annette Werner
We investigate Bruhat-Tits buildings and their compactifications by means of Berkovich analytic geometry over complete non-Archimedean fields. For every reductive group G over a su…