|Intervenant :||Michael Bersudsy|
|Heure :||14h00 - 15h00|
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.