Bruhat-Tits buildings and analytic geometry

Details Bruhat-Tits buildings and analytic geometry Bruhat-Tits buildings and analytic geometry

2011-10-06

arxiv.org/abs/1110.1362v2

Mathematics

Group Theory

Survey written for the proceedings of the summer school "Berkovich spaces" held in Paris in July 2010. Revised version of Febr

Scientific paper

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 canbe 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-Archimedean analytic geometry.

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