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SUMMARY:Codimension two area and Yang-Mills-Higgs
DTSTART:20201218T141500
DTSTAMP:20260511T062044Z
UID:408e853b2ad396e420cd0b677887ef63dc8d30c25ccd88d0e995a04d
CATEGORIES:Conferences - Seminars
DESCRIPTION:Alessandro Pigati\, Courant Institute of Mathematical Sciences
 \, NYU\n\nAbstract: While the calculus of variations of the area of hyper
 surfaces is becoming more and more understood\, with recent developments i
 n the construction of unstable critical points\, little is known for highe
 r codimension. In this talk we present an approach to the codimension two\
 , based on the Yang-Mills-Higgs energy for Hermitian line bundles\, in the
  self-dual case. This functional\, which is well known in gauge theory\, t
 urns out to be a good relaxation of the (codimension two) area functional\
 , in a similar way as the Allen-Cahn functional in codimension one: in joi
 nt work with Daniel Stern we show that\, if one uses scalings which preser
 ve the self-duality\, the energy of critical points concentrates along a m
 inimal variety. We also discuss the corresponding Gamma-convergence theory
 \, which is joint work with Daniel Stern and Davide Parise.\n\n\n 
LOCATION:https://epfl.zoom.us/j/82015383164?pwd=M2hrRHNpcW9pVjBpaHpPSlROOV
 duZz09
STATUS:CONFIRMED
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