3 papers
math.GR2023
De Rham -Cohomology For Higher Rank Spaces And Groups: Critical Exponents And Rigidity
Marc Bourdon, Bertrand Rémy
We initiate the investigation of critical exponents (in degree equal to the rank) for the vanishing of L^p-cohomology of higher rank Lie groups and related manifolds. We deal with…
math.CA2023
Construction of Brooks-Lindenstrauss kernels on affine buildings of arbitrary reduced type, with applications
Jean-Philippe Anker, Bertrand Rémy, Bartosz Trojan
This article deals with harmonic analysis on affine buildings. Its main goal is to construct suitable kernels associated to a discrete multitemporal wave equations on the latter sp…
math.AG2021
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…