BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Rigidity in the Ginzburg–Landau equation from S2 to S2 - Matilde
  Gianocca\, ETH
DTSTART:20251027T140000Z
DTEND:20251027T150000Z
UID:TALK236458@talks.cam.ac.uk
CONTACT:Zoe Wyatt
DESCRIPTION:The Ginzburg–Landau energy is often used to approximate the 
 Dirichlet energy. As the perturbation parameter tends to zero\, critical p
 oints of the Ginzburg–Landau energy converge\, in an appropriate (bubbli
 ng) sense\, to harmonic maps. In this talk I will first explain key analyt
 ical properties of this approximation procedure\, then show that not every
  harmonic map can be approximated in this way. This is based on a rigidity
  theorem: under the energy threshold of 8pi\, we classify all solutions of
  the associated nonlinear elliptic system from S2 to S2\, thereby identify
 ing exactly which harmonic maps can arise as Ginzburg–Landau limits in t
 his regime.
LOCATION:Lecture Room 2 in the gatehouse at INI
END:VEVENT
END:VCALENDAR