The Schwarzian derivative and the degree of a classical minimal surface

General public Colloquium / Congress / Forum

The talk starts with a gentle introduction to minimal surfaces and basic notions from projective geometry. Using the Schwarzian derivative I will then explain how to construct a sequence of meromorphic differentials on every non-flat oriented minimal surface in Euclidean 3-space. A minimal surface is said to have degree n if its n-th differential is a polynomial expression in the differentials of lower degree. Various well-known minimal surfaces are identified as surfaces of low degree.

Based on joint work with Jacob Bernstein & Lukas Poerschke.

When? 28.11.2023 17:15
Where? PER 08 auditoire 2.52
Chemin du Musée 3
1700 Fribourg
speaker Prof. Thomas Mettler, FernUni
Contact Département de mathématiques