Séminaire Géométrie Topologie Dynamique
Linnik's problem and statistics of orthogonal lattices to primitive integral vectors
07
Oct. 2021
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Intervenant : Michael Bersudsy
Institution : Technion
Heure : 14h00 - 15h00
Lieu : 2L8

A classical work of Linnik shows that the directions of primitive integral vectors lying on a large sphere are equidistributed. Much more recently, Uri Shapira jointly with Menny Aka and Manfred Einsiedler refined Linnik's result by showing that the directions of primitive integral vectors lying on a large sphere and the shapes of their orthogonal lattices are jointly equidistributed. In this talk I will discuss my recent joint work with Uri Shapira in which we generalize the above joint equidistribution in various directions. In particular I will explain how the type of problem studied by Aka, Shapira and Einsiedler can be regarded conceptually as a natural variant of Linnik's problem in a non Euclidean setting.

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