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Serguei Ivachkovitch - Method of pseudoholomorphic curves and applications (Part 1)


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Serguei Ivachkovitch - Method of pseudoholomorphic curves and applications (Part 1)

The method of « pseudoholomorphic » curves proved itself to be extremely useful in different fields. In symplectic topology, for instance Gromov’s Nonsqueezing Theorem, Arnold’s conjecture and the Floer homology, the Gromov-Witten invariants. In complex analysis and geometry, for instane polynomial hulls of totally real surfaces, envelopes of meromorphy, holomorphic foliations. We shall develop the theory of complex curves in almost complex manifolds and discuss some of these applications in our lectures.

 

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 Bernd Kirchheim - Equidimensional isometric maps
 Gian Paolo Leonardi - Towards a unified theory of surface discretization
 Bruno Lévy - A numerical algorithm for L2 semi-discrete optimal transport in 3D
 Xiangyu Liang - An example of proving Almgrem's minimality by product of paired calibrations
 Andrew Lorent - The Aviles-Giga functional: past and present
 Francesco Maggi - A quantitative description of almost constant mean curvature hypersurfaces
 Matteo Novaga - Nonlocal isoperimetric problems
 Guy David - Minimal sets (Part 2)
 Camillo De Lellis - Center manifolds and regularity of area-minimizing currents (Part 1)
 Camillo De Lellis - Center manifolds and regularity of area-minimizing currents (Part 2)
 Guy David - Minimal sets (Part 3)
 Camillo De Lellis - Center manifolds and regularity of area-minimizing currents (Part 3)
 Camillo De Lellis - Center manifolds and regularity of area-minimizing currents (Part 4)
 Camillo De Lellis - Center manifolds and regularity of area-minimizing currents (Part 5)
 Joseph Fu - Integral geometric regularity (Part 1)
 Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 1)
 Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 2)
 Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 3)
 Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 4)
 Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 5)
 Tatiana Toro - Geometry of measures and applications (Part 1)
 Tatiana Toro - Geometry of measures and applications (Part 2)
 Tatiana Toro - Geometry of measures and applications (Part 3)
 Tatiana Toro - Geometry of measures and applications (Part 4)
 Tatiana Toro - Geometry of measures and applications (Part 5)
 Joseph Fu - Integral geometric regularity (Part 2)
 Joseph Fu - Integral geometric regularity (Part 3)
 Joseph Fu - Integral geometric regularity (Part 4)
 Joseph Fu - Integral geometric regularity (Part 5)
 Andrea Braides - Geometric measure theory issues from discrete energies
 Giovanni Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 2)
 Giovanni Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 3)
 Giovanni Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 4)
 Giovanni Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 5)
 Nicholas Alikakos - On the structure of phase transition maps : density estimates and applications
 Elie Bretin - About phase field method to approximate the willmore flow
 Guy David - Minimal sets (Part 1)
 Giovanni Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 1)
FMSH
 
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