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SUMMARY:The Ginzburg-Landau functional on complex line bundles: Gamma-conv
 ergence and asymptotics for critical points
DTSTART:20250505T120000Z
DTEND:20250505T130000Z
DTSTAMP:20260521T171800Z
UID:indico-event-14305@indico.math.cnrs.fr
DESCRIPTION:Speakers: Giacomo Canevari (Università di Verona)\n\nThe Ginz
 burg-Landau functional was originally proposed as a model for superconduct
 ivity in Euclidean domains. However\, invariance with respect to gauge tra
 nsformations - which is one of the most prominent features of the model - 
 suggests that the functional can be naturally defined in the setting of co
 mplex line bundles\, where it can be regarded as an Abelian Yang-Mills-Hig
 gs theory. In this talk\, we shall consider the Ginzburg-Landau functional
  on a Hermitian line bundle over a closed Riemannian manifold\, in the sca
 ling inherited from superconductivity theory. We shall discuss the asympto
 tic behaviour\, in the so-called "London limit"\, of minimisers and critic
 al points whose energy grows at most logarithmically in the coupling param
 eter. The talk is based on a joint work with Federico Dipasquale (Universi
 tà Federico II\, Napoli) and Giandomenico Orlandi (Verona).\n\nhttps://in
 dico.math.cnrs.fr/event/14305/
LOCATION:Amphi Schwartz
URL:https://indico.math.cnrs.fr/event/14305/
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