

56:53
publiée le 18 avril 2025
Extremal eigenvectors, the spectral action, and the zeta spectral triple
De Alain Connes
Apparaît dans la collection : Galois Representations, Automorphic Forms and L-Functions / Représentations galoisiennes, formes automorphes et leurs fonctions L
I will report on a plectic generalization of Stark-Heegner points. Inspired by Nekovar and Scholl's conjectures, these points are expected to control Mordell-Weil groups of higher rank elliptic curves. I will give strong evidence for this expectation in the case of polyquadratic CM fields. This is joint work with Michele Fornea.