Séminaire Jeunes chercheurs (Mario Gauvrit, jeudi 5 décembre 2024)

La prochaine séance du séminaire Jeunes chercheurs du CEREMADE aura lieu le jeudi 5 décembre 2024 à 17h en salle A707. Nous aurons le plaisir d'écouter Mario Gauvrit (Université Paris Cité), qui nous parlera de

Asymptotic analysis of Yang-Mills connections

Abstract
The aim of this presentation is to provide an overview of the rich analytical framework surrounding Yang-Mills connections in dimension 4. As critical points of a gauge-invariant and conformally invariant energy functional, Yang-Mills connections offer insights into fundamental questions arising in conformal geometry and gauge theory. We will focus on three main aspects: the regularity properties of Yang-Mills connections, the role of gauge fixing, and the bubbling phenomena associated with energy concentration along sequences of connections. These elements will be explored to highlight their significance in understanding the asymptotic behavior of Yang-Mills fields.