Im Rahmen des Oberseminars Analysis/Numerik spricht
Herr Dr. Alexei Penskoi (Max-Planck-Institut in Bonn)
über
Isoperimetric inequalities for eigenvalues of the Laplace-Beltrami operator on surfaces
Outline
- Spectral Geometry
- Laplace-Beltrami operator
- Spectral Geometry problems
- Geometric optimization of eigenvalues of Δ
- Lord Rayleigh question
- Geometric optimization of eigenvalues
- Known results about particular surfaces
- Minimal submanifolds in \(S^n\) and harmonic maps to \(S^n\)
- Minimal isometric immersions to \(S^n\)
- Minimal maps and harmonic maps
- Calabi-Barbosa theorem
- Harmonic degree and Ejiri bound
- Scheme of proofs of the recent results
- Scheme of proof for \(S^2\)
Der Vortrag findet statt am
Donnerstag, den 16.05.2024 um 14.15 Uhr im Raum W01 0-006