arXiv:2407.01709 Abstract | arXiv Analytics

arXiv:2407.01709 [math.GR]Abstract References Reviews Resources

Flatmates and the bounded cohomology of algebraic groups

Published 2024-07-01Version 1

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.

Categories: math.GR, math.AG, math.AT

Keywords: algebraic groups, non-archimedean local fields, arithmetic groups, earlier work, flatmate conjecture

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