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SUMMARY:Sobolev maps to manifolds: a generalization of the Jacobian and it
 s applications
DTSTART:20250616T083000Z
DTEND:20250616T093000Z
DTSTAMP:20260316T172000Z
UID:indico-event-14527@indico.math.cnrs.fr
DESCRIPTION:Speakers: Kai Xiao (ICJ)\n\nIn this seminar\, I am going to gi
 ve a short introduction to the topic of Sobolev maps to manifolds.Starting
  with the observation that the strong density fails when considering maps 
 that are restricted to take their values on a closed manifold\, the follow
 ing questions arise naturally: (Q1) When does the strong density hold? (Q2
 ) If the strong density fails\, how to characterize the maps that can be a
 pproximated with smooth maps?A good candidate to answer (Q2) in special ca
 ses is the distributional Jacobian\, which detects the topological singula
 rities of the map\, so that a map can be approximated if and only if its J
 acobian is 0.We will introduce a generalization of the Jacobian in more ge
 neral case.\n\nhttps://indico.math.cnrs.fr/event/14527/
LOCATION:Fokko du Cloux (ICJ)
URL:https://indico.math.cnrs.fr/event/14527/
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