Flatmates and the bounded cohomology of algebraic groups
Group Theory
2024-07-09 v2 Algebraic Geometry
Algebraic Topology
Abstract
For all algebraic groups over non-Archimedean local fields, the bounded cohomology vanishes. This follows from the corresponding statement for automorphism groups of Bruhat--Tits buildings, which hinges on the solution to the flatmate conjecture raised in earlier work with Bucher. Vanishing and invariance theorems for arithmetic groups are derived.
Keywords
Cite
@article{arxiv.2407.01709,
title = {Flatmates and the bounded cohomology of algebraic groups},
author = {Nicolas Monod},
journal= {arXiv preprint arXiv:2407.01709},
year = {2024}
}
Comments
v2: minor cosmetic adjustments