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SUMMARY:Points on spheres and their orthogonal lattices - Aka\, M (EPFL - 
 Ecole Polytechnique Fdrale de Lausanne)
DTSTART:20140609T133000Z
DTEND:20140609T143000Z
UID:TALK52907@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:It is a classical question to understand the distribution (whe
 n projected to the unit sphere) of the solutions of x^2+y^2+z^2=D  as D gr
 ows. To each such solution v we further attach the lattice obtained by int
 ersecting the hyperplane orthogonal to v with the set of integral vectors.
  This way\, we obtain\, for any D that can be written as a sum of three sq
 uares\, a finite set of pairs consisting of a point on the unit sphere and
  a lattice. \nIn the talk I will discuss a joint work with Manfred Einsied
 ler and Uri Shapira which considers the joint distribution of these pairs 
 in the appropriate spaces. I will outline a general approach to such probl
 ems and discuss dynamical input needed to establish that these pairs distr
 ibute uniformly.\n\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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