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SUMMARY:Augusto Ponce (Université catholique de Louvain)
DTSTART:20220628T160000Z
DTEND:20220628T170000Z
DTSTAMP:20260423T035058Z
UID:OSGA/116
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/116/">A
  topological toolbox for Sobolev maps</a>\nby Augusto Ponce (Université c
 atholique de Louvain) as part of Online Seminar "Geometric Analysis"\n\n\n
 Abstract\nClassical works by F. Bethuel and by F. Hang and F-H. Lin have\n
 identified the local and global topological obstructions that prevent smoo
 th\nmaps from being dense in the Sobolev space \\(W^{1\, p}(M^{m}\; N^{n})
 \\)\nbetween two Riemannian manifolds when \\(p < m\\). They are related t
 o the\nextension of continuous maps from subsets of \\(M^{m}\\) to \\(N^{n
 }\\).\n\nIn this talk I will present some work in progress with P. Bousque
 t\n(Toulouse) and J. Van Schaftingen (UCLouvain)\, inspired from the notio
 ns of\nmodulus introduced by B. Fuglede and degree for VMO maps by H. Brez
 is and L.\nNirenberg.\nI shall explain how one can decide whether a specif
 ic Sobolev map \\(u :\nM^{m} \\to N^{n}\\) can be approximated or not by s
 mooth ones\, even in the\npresence of topological obstructions from \\(M^{
 m}\\) or \\(N^{n}\\).\n
LOCATION:https://researchseminars.org/talk/OSGA/116/
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