Computation of harmonic functions on higher genus surfaces

Date/heure
9 décembre 2024
15:30 - 16:30

Lieu
Salle de conférences Nancy

Oratrice ou orateur
Mickaël Nahon

Catégorie d'évènement
Séminaire de géométrie différentielle


Résumé

I will introduce a method to compute efficiently and with arbitrary precision a basis of harmonic functions with singularities in a Riemann surface of any genus. This basis is a powerful tool to approximate harmonic functions with spectral speed, using the method of particular solutions: we give a full characterization of the speed of convergence in any genus, depending on the singularities of the harmonic extension.

This is a joint work with Edouard Oudet.