paper

Curvature criterion for vanishing of group cohomology

arXiv:1912.05839

Abstract

We introduce a new geometric criterion for vanishing of cohomology for BN-pair groups. In particular, this new criterion yields a sharp vanishing of cohomology result for all BN-pair groups acting on non-thin affine building.

arXiv commentThe previous version contained a mistake in the proof of Theorem 2.6 that is corrected in this version