Multiple zeta values in geometry and number theory
Organizers
Kotaro Kawai
, Chao Qian
Speaker
Steven Charlton
Time
Wednesday, May 31, 2023 3:20 PM - 4:20 PM
Venue
A3-1-103
Online
Zoom 928 682 9093
(BIMSA)
Abstract
Multiple zeta values are a mysterious class of real numbers that appear in many branches of pure mathematics and in theoretical physics. I will explain some of the basic theory and problems surrounding multiple zeta values (from a more algebraic or number theoretic viewpoint). I will then discuss where multiple zeta values (or slight generalisations thereof) appear some more geometric or analytic contexts, such as the area expansion of families of constant mean curvature surfaces (as studied by Heller, Heller and Traizet), or in the Dirichlet eigenvalues of regular polygons (as studied by Berghaus, Georgiev, Monien and Radchenko).