![[Search]](/static/images/search.gif){kind=small}
![[A-Z Index]](/static/images/az.gif){kind=small}
![[Contact]](/static/images/contact.gif){kind=small}
![[University of Cambridge]](/static/images/identifier2.gif){kind=small}
![[Talks.cam]](/static/images/talkslogosmall.gif)
Monday 09 June 2014, 14:30-15:30
Points on spheres and their orthogonal lattices
- 👤 Speaker: Aka, M (EPFL - Ecole Polytechnique Fdrale de Lausanne)
- 📅 Date & Time: Monday 09 June 2014, 14:30 - 15:30
- 📍 Venue: Seminar Room 2, Newton Institute Gatehouse
Abstract
It is a classical question to understand the distribution (when projected to the unit sphere) of the solutions of x2+y2+z^2=D as D grows. To each such solution v we further attach the lattice obtained by intersecting 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 squares, a finite set of pairs consisting of a point on the unit sphere and a lattice. In the talk I will discuss a joint work with Manfred Einsiedler and Uri Shapira which considers the joint distribution of these pairs in the appropriate spaces. I will outline a general approach to such problems and discuss dynamical input needed to establish that these pairs distribute uniformly.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
Included in Lists
- All CMS events
- bld31
- dh539
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 2, Newton Institute Gatehouse
Note: Ex-directory lists are not shown.