EVENT DETAILS AND ABSTRACT

Title: Uniform distribution of polynomial and non-polynomial sequences in nilmanifolds
Speaker: Florian Richter
Speaker Info: Northwestern University
Brief Description:
Special Note:
Abstract:

The notion of uniform distribution conceptualizes the idea of a sequence of points that disperses evenly and proportionately throughout all parts of a mathematical space. The topic of my talk is the uniform distribution for a variety of polynomial and non-polynomial sequences in nilmanifolds, which are differentiable manifolds that possess a transitive nilpotent Lie group of diffeomorphisms acting on it. Our main results in this direction generalize the work of Leibman on the uniform distribution of polynomial orbits in nilmanifolds and the work of Frantzikinakis on the uniform distribution of nil-orbits along functions from a Hardy field. This also connects to open questions in arithmetic combinatorics.