News Overview

In the HEGL community seminar on Monday, May 8, 2:15 pm, Martin Traizet from Université de Tours will talk about the Area of Lawson surfaces in the 3-sphere. The seminar will take place at Mathematikon, Seminarraum C.

Abstract: Lawson has constructed highly symmetric minimal surfaces of arbitrary genus $g$ in the 3-sphere ${\mathbb S}^3$. I will explain how to construct these surfaces by an integrable system method — the DPW method. As a byproduct of the construction, we obtain accurate estimations of their area. In particular, the expansion of the area in term of $1/g$ involves $\zeta(3)$, where $\zeta$ is Riemann zeta function. I will explain the path from minimal surfaces in ${\mathbb S}^3$ to values of $\zeta$ and multi-zetas. Joint work with L. Heller, S. Heller and S. Charlton.

More information can be found on the HEGL community seminar webpage.