Volume 5 (2022)
Mayeux, Arnaud
Bruhat–Tits theory from Berkovich’s point of view. Analytic filtrations
Annales Henri Lebesgue, Volume 5 (2022), pp. 813-839.

Metadata

DOI10.5802/ahl.137
Keywords Berkovich spaces, Bruhat–Tits buildings, Moy–Prasad filtrations

Abstract

We define filtrations by affinoid groups, in the Berkovich analytification of a connected reductive group, related to Moy–Prasad filtrations. They are parametrized by a cone, whose basis is the Bruhat–Tits building and whose vertex is the neutral element, via the notions of Shilov boundary and holomorphically convex envelope.


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