7 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…
The jet schemes of the nilpotent cone of over and analytic properties of the Chevalley map
Avraham Aizenbud, Dmitry Gourevitch, David Kazhdan +1
We prove dimension bounds on the jet schemes of the variety of nilpotent matrices (and of related varieties) in positive characteristic. This result has applications to the analyti…
Effective local differential topology of algebraic varieties over local fields of positive characteristics
Avraham Aizenbud, Dmitry Gourevitch, David Kazhdan +1
In this paper we provide a framework for quantitative statements on distances and measures when studying algebraic varieties and morphisms of algebraic varieties over local fields.…
Invertible top form on the Hilbert scheme of a plane in positive characteristic
Avraham Aizenbud, Dmitry Gourevitch, David Kazhdan +1
We prove that the Hilbert scheme of the plane in positive characteristic admits an invertible top differential form. This implies certain integrability properties of the symmetric…
Orbital integral bounds the character for cuspidal representations of
Avraham Aizenbud, Dmitry Gourevitch, David Kazhdan +1
We prove that the character of an irreducible cuspidal representation of is locally bounded up to a logarithmic factor by the orbital integral of a m…
On Harish-Chandra's integrability theorem in positive characteristic
Avraham Aizenbud, Dmitry Gourevitch, David Kazhdan +3
The celebrated Harish-Chandra's integrability theorem states that the distributional character of an irreducible smooth representation of a p-adic group is integrable, that…