37 citations · 177 across the 30 of their papers we have counts for
38 papers
Fixed point properties and cohomology of Banach representations of arithmetic groups
Saar Bader, Shaked Bader, Uri Bader +1
We study fixed point theorems for actions of lattices of semisimple groups. They are deduced from vanishing results for the group cohomology of -representations. We show that…
On the unitary cohomology of semisimple groups
Uri Bader, Michael Glasner, Yuval Gorfine +1
We study the continuous homology and cohomology of semisimple Lie groups with coefficients in arbitrary unitary representations. The case of irreducible representations was determi…
Higher Kazhdan property and unitary cohomology of arithmetic groups
Uri Bader, Roman Sauer
Notions of higher Kazhdan property can be defined in terms of vanishing of unitary group cohomology in higher degrees. Garland's theorem for simple groups over non-archimedean fiel…
Stability and instability of lattices in semisimple groups
Uri Bader, Alexander Lubotzky, Roman Sauer +1
Using cohomological methods, we show that lattices in semisimple groups are typically stable with respect to the Frobenius norm but not with respect to the operator norm.
Amenable covers and integral foliated simplicial volume
Clara Loeh, Marco Moraschini, Roman Sauer
In analogy with ordinary simplicial volume, we show that integral foliated simplicial volume of oriented closed connected aspherical -manifolds that admit an open amenable cover…
Volume and macroscopic scalar curvature
Sabine Braun, Roman Sauer
We prove the macroscopic cousins of three conjectures: 1) a conjectural bound of the simplicial volume of a Riemannian manifold in the presence of a lower scalar curvature bound, 2…