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Adelic equidistribution and property (tau)

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If you have a question about this talk, please contact Mustapha Amrani .

Interactions between Dynamics of Group Actions and Number Theory

We give a uniform equidistribution statement for maximal subgroups on adelic quotients. The result is effective and applies to cases where the results of Mozes and Shah may not be applicable. The argument can also be used to give an alternative proof of property (tau) (but with weaker exponents than established by Clozel).

We will also discuss an extension/application concerning integer points on spheres and their orthogonal lattice.

This talk is part of the Isaac Newton Institute Seminar Series series.

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