collaborators

16 papers

math.RT2026

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…

math.AG2026

Projective connections on super Heisenberg coinvariants. I

Giovanni Felder, David Kazhdan, Alexander Polishchuk

We study derived coinvariants of isotropic subbundles on modules over super Heisenberg algebras and construct certain natural transitive Lie algebroids acting on them.

math.RT2026

An analogue of irreducible cuspidal representations for the group over a two-dimensional local field

Alexander Braverman, David Kazhdan

Let be a local non-archimedian field of odd residue characteristic and let . In this paper we study an analog of irreducible cuspidal representations of the group $G(…

math.RT2026

Rationality properties of complex representations of reductive p-adic groups

David Kazhdan, Maarten Solleveld, Yakov Varshavsky

For a reductive group G over a non-archimedean local field, we compare smooth representations over C with smooth representations over Qbar (an algebraic closure of Q). We show that…

math.RT2026

Modular reduction of complex representations of finite reductive groups

Roman Bezrukavnikov, Michael Finkelberg, David Kazhdan +1

The main result describes the Brauer-Nesbitt reduction of unipotent representations of a finite group of Lie type, expressing it as an explicit linear combination of the restrictio…

math.AG2026

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…