Geometry of integral vectors
Uri Shapira (Technion)
יום שלישי, 10 בדצמבר, 2019, 14:30 – 15:30, Math -101
Given an integral vector, there are several geometric and arithmetic objects one can attach to it. For example, its direction (as a point on the unit sphere), the lattice obtained by projecting the integers to the othonormal hyperplane to the vector, and the vector of residues modulo a prime p to name a few. In this talk I will discuss results pertaining to the statistical properties of these objects as we let the integral vector vary in natural ways.