Seminar: Lawson surfaces and alternating multiple zeta values

Seminar| Institute of Mathematical Sciences

Time: Wednesday, January 3th , 2024, 13:00-14:00

Speaker: Sebastian Heller, BIMSA

Abstract: We construct special minimal surfaces in the round 3-sphere — Lawson surfaces $xi_{1,g}$—  using integrable systems methods. We give an algorithm to compute the Taylor series for the area of $\xi_{1,g}$, whose coefficients turn out to be alternating multiple zeta values, and show that this series converges for $g\geq 3$ with explicit error bounds. As a corollary we obtain that the area  of $\xi_{1,g} $ is strictly monotonically increasing in $g$ for every $g\geq0$.