 |
Universität Augsburg
|
|
|
Universität Augsburg
|
|
Luca Briani Medeiros Dos Santos Lima
Technische Universität München
spricht am
Donnerstag, 25. Juni 2026
um
17:15 Uhr
im
TUM, Boltzmann-3, Garching, Raum 03.08.011, Etage 3
über das Thema:
| Abstract: |
| In this talk, I present the formation of singularities in a chiral Skyrme-type energy model, which describes magnetic solitons in two-dimensional ferromagnetic systems. In the presence of a diverging anisotropy term, which enforces a preferred background state of the magnetization, I show how to establish a weak compactness result for the topological charge density and prove that it converges to an atomic measure with quantized weights. I characterize the Γ-limit of the energies as the total variation of this measure. Then, I consider the case of lattice-type energies and prove a corresponding compactness and Γ-convergence result. To this end, I will first carefully define a notion of discrete topological charge for S2 -valued maps. This is a joint work with Marco Cicalese and Leonard Kreutz. |
| Hierzu ergeht herzliche Einladung. |