CAPA: Beltrami fields with hyperbolic periodic orbits enclosed by knotted invariant tori

  • Date: –17:00
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 64121
  • Lecturer: Alejandro Luque
  • Organiser: Matematiska institutionen
  • Contact person: Rodrigo Schaefer
  • Seminarium

Abstract: We prove that there exist Beltrami fields in Euclidean space, with sharp decay at infinity, which have a prescribed set of invariant tori (possibly knotted or linked) that enclose an arbitrarily large number of hyperbolic periodic orbits. These hyperbolic orbits are cablings over the core curve of each torus. Moreover, the domain bounded by each invariant torus is covered by an almost full measure set of invariant tori. This is a joint work with Alberto Enciso and Daniel Peralta-Salas.