reading_seminar

We meet in bâtiment Sophie Germain.

Minimal surfaces via eigenvalue optimization

Date Where Topic References
15/05/2025   Introduction about eigenvalue optimization on surfaces, minimal surfaces in spheres and free boundary minimal surfaces in balls. Statement of the results in Karpukhin–Kusner–McGrath–Stern 2024, Petrides 2024, Karpukhin–Petrides–Stern 2025.
28/05/2025   Existence of maximizing metric for the first Laplace eigenvalue on closed surfaces. Karpukhin–Petrides–Stern 2025
02/06/2025   Conformal volume. Li–Yau 1982
22/09/2025, at 2pm Room 1016 Optimization of eigenvalues in conformal classes. Petrides 2014, Petrides 2022
29/09/2025, at 2pm Room 1016 Equivariant eigenvalue optimization on basic reflection surfaces. Section 5 of Karpukhin–Kusner–McGrath–Stern 2024
06/10/2025, at 2pm Room 6033 Min-max characterization of conformal eigenvalues. Karpukhin–Stern 2020