Asymptotic stability of the degree-one vortex in the 2D abelian Yang-Mills-Higgs model under equivariant perturbations

Series
PDE Seminar
Time
Tuesday, September 29, 2026 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Jonas Lührmann – University of Cologne – jonas.luehrmann@uni-koeln.de – https://www.mi.uni-koeln.de/luhrmann/
Organizer
Gong Chen

The abelian Yang-Mills-Higgs model on (1 + 2)-dimensional Minkowski space is a classical relativistic field theory, where a scalar complex field is coupled to an electromagnetic field. It admits topological soliton solutions called vortices. We present a proof of the asymptotic stability of the degree-one vortex under equivariant perturbations in the self-dual case.