Seminars & Colloquia Calendar
The metric theory of the pair correlation function
Niclas Technau (Caltech)
Date & time: Tuesday, 16 November 2021 at 2:30PM - 3:30PM
Abstract: The talk concerns the fine-scale equidistribution of classical sequences.
After motivating and contextualising what a pair correlation function of a sequence is,
we report on recent joint work with Zeev Rudnick on its probabilistic theory.
That work is based on a mixture of harmonic analysis, simple facts about Dirichlet polynomials,
and Diophantine approximation on manifolds.