Colloque - Virginie Galland Ehrlacher : Yvon Maday, chaire Informatique et sciences numériques

Yvon Maday Chaire Les chaires Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité Yvon Maday, chaire Informatique et sciences numériques Colloque - Virginie Galland Ehrlacher : Yvon Maday, chaire Informatique et sciences numériques Virginie Galland Ehrlacher Résumé Solving eigenvalue problems for high-dimensional Schrödinger operators is a central challenge in numerical analysis, with applications ranging from quantum mechanics to the approximation of complex interacting systems. In this talk, we present a variational approach based on infinite-width two-layer neural networks for the computation of the lowest eigenvalue and associated eigenfunctions of Schrödinger operators with smooth interaction potentials and Neumann boundary conditions on the unit cube.