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    <title><string language="fre"><![CDATA[Alexandre Sukhov - J-complex curves: some applications (Part1)]]></string></title>
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 will focus in our lectures on the following : 1. J-complex discs in 
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compactness. Gromov’s method : the Fredholm alternative for the d-bar 
operator. Attaching a complex disc to a Lagrangian manifold. 
Application : exotic symplectic structures. Hulls of totally real 
manifolds : Alexander’s theorem. 2. Real surfaces in (almost) complex 
surfaces. Filling real 2-spheres by a Levi-flat hypersurface (Bedford 
-Gaveau-Gromov theorem). Some applications. Symplectic and contact 
structures. Reeb foliation and the Weinsten conjecture. Hofer’s proof of
 the Weinstein conjecture. 3. J-complex lines and hyperbolicity. The KAM
 theory and Moser’s stability theorem for entire J-complex curves in 
tori. Global deformation and Bangert’s theorem.]]></string></description>
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            <date><dateTime>2012-06-25</dateTime></date>
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