5 papers
A proof of Harish-Chandra's integrability theorem for cuspidal representations of
Avraham Aizenbud, Nir Avni, Dmitry Gourevitch +2
Consider the Chevalley map where . We show that the push forward via of every smooth…
Push-forward of smooth measures and strong Thom stratifications
Avraham Aizenbud, Nir Avni, Shachar Carmeli
We study the collection of measures obtained via push-forward along a map between smooth varieties over p-adic fields. We investigate when the stalks of this collection are finite-…
Mixed identities in linear groups -- effective version
Nir Avni, Tsachik Gelander
We show that MIF (mixed-identity-free) linear groups are sharply MIF and linearly MIF. Along the way we provide a self contained proof of the strong approximation theorem, and a ne…
Bounded Generation for
Nir Avni, Chen Meiri
Let be an order in a division algebra over a number field. We prove, under some conditions, that is boundedly generated by elementary matrices.
Conjugacy width in uniform higher rank arithmetic groups of orthogonal type
Nir Avni, Chen Meiri
We study widths of conjugacy classes in anisotropic higher rank -arithmetic groups of orthogonal type. Assuming the GRH, we prove that many such groups have bounded conjugacy wi…