Wonderful compactifications of Bruhat-Tits buildings
نویسندگان
چکیده
منابع مشابه
Bruhat-tits Theory from Berkovich’s Point of View. Ii. Satake Compactifications of Buildings
In the paper Bruhat-Tits theory from Berkovich’s point of view. I — Realizations and compactifications of buildings, we investigated various realizations of the Bruhat-Tits building B(G,k) of a connected and reductive linear algebraic group G over a non-Archimedean field k in the framework of V. Berkovich’s non-Archimedean analytic geometry. We studied in detail the compactifications of the bui...
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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, Berkovich analytic geometry can be used to compactify buildings. We discuss in detail the example of the special linear group. Moreover, we give an intrinsic description of Bruhat-Tits buildings in the framework of non-Archim...
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Let G be a connected semisimple group over a non-Archimedean local field. For every faithful, geometrically irreducible linear representation of G we define a compactification of the associated Bruhat-Tits building X(G). This yields a finite family of compactifications of X(G) which contains the polyhedral compactification. Besides, this family can be seen as a non-Archimedean analogue of the f...
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We introduce and study a family of countable groups constructed from Euclidean buildings by “removing” suitably chosen subsets of chambers. In this paper X denotes a CAT(0) space and Γ is a countable group acting properly isometrically on X with X/Γ compact. The idea is the following. We start with a Euclidean building X of rank 2, which we see as a space of “maximal rank”, and remove chambers ...
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Clustering procedure for the case where instead of a fixed metric one applies a family of metrics is considered. In this case instead of a classification tree one obtains a classification network (a directed acyclic graph with non directed cycles). Relation to Bruhat–Tits buildings is discussed. Dimension of a general cluster system is considered.
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ژورنال
عنوان ژورنال: Épijournal de Géométrie Algébrique
سال: 2017
ISSN: 2491-6765
DOI: 10.46298/epiga.2017.volume1.3133