Seminario Análisis y Aplicaciones
XXXVIII MEMORIAL RUBIO DE FRANCIA - Kakeya sets and von Neumann algebras of arithmetic groups
Ponente: Mikael de la Salle (Institut Camille Jordan, Lyon)Fecha: jueves 14 de mayo de 2026 - 11:30Lugar: Aula 520, Módulo 17, Departamento de Matemáticas, UAM
Resumen:
Kakeya sets are subsets of the Euclidean space that contain a unit segment in every direction. They are naturally a fascinating topic of recreational mathematics, but since the foundational work of Fefferman on the convergence of Fourier series, they have found important applications to serious mathematics: harmonic analysis, number theory. I will present a newly discovered connection to operator algebras, and more precisely to the structure of the von Neumann algebras of high rank arithmetic groups.
