Lawson has constructed highly symmetric minimal surfaces of arbitrary genus 𝑔 in the 3-sphere 𝕊3. 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 𝜁(3), where 𝜁 is Riemann zeta function. I will explain the path from minimal surfaces in 𝕊3 to values of 𝜁 and multi-zetas.
Joint work with L. Heller, S. Heller and S. Charlton.