Speaker
Andreas Strömbergsson, Uppsala University
Abstract
I will report on work in progress, joint with Samuel Edwards, where we generalize results by Marklof-Strömbergsson on the fine-scale statistics of directions to lattice points in Euclidean space, and results by Marklof-Vinogradov on the fine-scale statistics of directions in hyperbolic n-space to the points in the orbit of a lattice in SO(n,1). Among the applications of our main theorem, I will discuss in particular the case of rational points in a quadric hypersurface.