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Nir Avni

  1. Representation zeta functions of compact p-adic analytic groups and arithmetic groups.

    Tue, 07/20/2010 - 15:01 — SomNambul
    Authors: Nir Avni, Benjamin Klopsch, Uri Onn, Christopher Voll
    Subjects: Group Theory
    Abstract

    We introduce new methods from p-adic integration into the study of
    representation zeta functions associated to compact p-adic analytic groups and
    arithmetic groups. They allow us to establish that the representation zeta
    functions of generic members of families of p-adic analytic pro-p groups
    obtained from a global, `perfect' Lie lattice satisfy functional equations.

  2. On Commensurizer Growth.

    Mon, 11/09/2009 - 16:01 — SomNambul
    Authors: Eran Nevo, Nir Avni, Seonhee Lim
    Subjects: Group Theory
    Abstract

    We study new asymptotic invariant of a pair consisting of a group and a
    subgroup, which we call Commensurizer Growth. We compute the commensurizer
    growth for several examples, concentrating mainly on the case of a locally
    compact topological group and a lattice inside it.

  3. Spherical Pairs Over Close Local Fields.

    Mon, 10/19/2009 - 13:48 — SomNambul
    Authors: Avraham Aizenbud, Dmitry Gourevitch, Nir Avni
    Subjects: Representation Theory
    Abstract

    Extending results of Kazhdan to the relative case, we relate harmonic
    analysis over some spherical spaces G(F)/H(F), where F is a field of positive
    characteristic, to harmonic analysis over the spherical spaces G(E)/H(E), where
    E is a suitably chosen field of characteristic 0. One of the Ingredients of the
    proof is a condition for finite generation of some modules over the Hecke
    algebra.

  4. Spherical Pairs Over Close Local Fields.

    Mon, 10/19/2009 - 13:48 — SomNambul
    Authors: Avraham Aizenbud, Dmitry Gourevitch, Nir Avni
    Subjects: Representation Theory
    Abstract

    Extending results of Kazhdan to the relative case, we relate harmonic
    analysis over some spherical spaces G(F)/H(F), where F is a field of positive
    characteristic, to harmonic analysis over the spherical spaces G(E)/H(E), where
    E is a suitably chosen field of characteristic 0. One of the Ingredients of the
    proof is a condition for finite generation of some modules over the Hecke
    algebra.

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