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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Points on spheres and their orthogonal lattices -
Aka\, M (EPFL - Ecole Polytechnique Fdrale de Laus
anne)
DTSTART;TZID=Europe/London:20140609T143000
DTEND;TZID=Europe/London:20140609T153000
UID:TALK52907AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/52907
DESCRIPTION:It is a classical question to understand the distr
ibution (when projected to the unit sphere) of the
solutions of x^2+y^2+z^2=D as D grows. To each s
uch solution v we further attach the lattice obtai
ned by intersecting the hyperplane orthogonal to v
with the set of integral vectors. This way\, we o
btain\, for any D that can be written as a sum of
three squares\, a finite set of pairs consisting o
f a point on the unit sphere and a lattice. \nIn t
he talk I will discuss a joint work with Manfred E
insiedler and Uri Shapira which considers the join
t distribution of these pairs in the appropriate s
paces. I will outline a general approach to such p
roblems and discuss dynamical input needed to esta
blish that these pairs distribute uniformly.\n\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
CONTACT:Mustapha Amrani
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