Wasserstein metrics and equidistribution

Abstract: Wasserstein metrics provide an extremely flexible tool to quantify convergence of probability measures, and hence to quantify equidistribution results in number theory. We will present the basic definitions and formal properties of these metrics, and illustrate their applicability with quantitative versions of the equidistribution theorems of Deligne and Katz for families of exponential sums over finite fields. (Joint work with T. Untrau)

algebraic geometrynumber theory

Audience: researchers in the topic

---

Number Theory Web Seminar

Series comments: To attend the talks, registration is necessary. To register please visit our website

www.ntwebseminar.org/home

Registered users will receive an email before each talk with a link to the Zoom meeting.

The recordings of previous talks can be found on our website or on our YouTube channel

www.youtube.com/@numbertheorywebseminar

---