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Giovanni Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 5)


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Giovanni Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 5)

In these lectures I will first recall the basic notions and results that are needed to study minimal surfaces in the smooth setting (above all the area formula and the first variation of the area), give a short review of the main (classical) techniques for existence results, and then outline the theory of Finite Perimeter Sets, including the main results of the theory (compactness, structure of distributional derivative, rectifiability). If time allows, I will conclude with a few applications.

 

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 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)
 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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