24–28 févr. 2025
Institut Henri Poincaré
Fuseau horaire Europe/Paris

Biunimodular functions

24 févr. 2025, 09:30
1h
Amphithéâtre Hermite (Institut Henri Poincaré)

Amphithéâtre Hermite

Institut Henri Poincaré

11 rue Pierre et Marie Curie 75005 Paris

Orateur

Yves Benoist (Université Paris-Saclay)

Description

A biunimodular function on a cyclic group of prime order is a function with constant modulus whose Fourier transform also has constant modulus. For instance gaussian functions are biunimodular. According to a theorem of Haagerup there are only finitely many biunimodular functions up to scalar. In this talk we will construct new biunimodular functions for all prime p>5. The proof relies on symplectic geometry.

Documents de présentation

Aucun document.