PDEA Seminar: A generalized Liouville's equation and magnetic stability 3

  • Date: –11:15
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 Å64119 + Zoom
  • Lecturer: Douglas Lundholm (UU)
  • Organiser: Matematiska institutionen
  • Contact person: Kaj Nyström
  • Seminarium

Douglas Lundholm (UU) holds a seminar with the title "A generalized Liouville's equation and magnetic stability 3". Welcome to join!

Participate on site or via Zoom link, meeting ID: 67226102216

Abstract: In this talk we focus on a second main result with Ataei and Nguyen concerning 2D magnetic stability, from two unifying perspectives. One from analysis: an interpolation inequality of Ladyzhenskaya-Gagliardo-Nirenberg type. And one from condensed matter physics: a Chern-Simons-Schrödinger-Ginzburg-Landau-Higgs density functional theory for anyons and the fractional quantum Hall effect. Their intersection and the core of our proof concerns a supersymmetric relation (Bogomolnyi's bound) saturated and solved by the explicit solutions to the generalized Liouville equation discussed in the previous talks by Alireza Ataei.

 

This is a seminar in the PDEs and Applications seminar series