Geometric measure theory and calculus variations

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Wed. 01

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15:00

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20:00

Opening/Welcome/Coffee

Lunch (tickets will be given during the opening session)

Presentation of the summer school

Introduction to minimal surfaces and finite perimeter sets (I)

Coffee break

Analysis on the mean curvature flow and the reaction-diffusion approximation (I)

Seminar of the young mathematicians in GMT and calculus of variations

Introduction to minimal surfaces and finite perimeter sets (II)

Coffee break

Geometry of measures and applications (I)

Lunch

Analysis on the mean curvature flow and the reaction-diffusion approximation (II)

Coffee break

Geometry of measures and applications (II)

Seminar of the young mathematicians in GMT and calculus of variations

Analysis on the mean curvature flow and the reaction-diffusion approximation (III)

Coffee break

Introduction to minimal surfaces and finite perimeter sets (III)

Lunch

Geometry of measures and applications (III)

Coffee break

Analysis on the mean curvature flow and the reaction-diffusion approximation (IV)

Seminar of the young mathematicians in GMT and calculus of variations

Pétanque (Bowls) competition and apéritif

Introduction to minimal surfaces and finite perimeter sets (IV)

Coffee break

Analysis on the mean curvature flow and the reaction-diffusion approximation (V)

Lunch

Geometry of measures and applications (IV)

Coffee break

Introduction to minimal surfaces and finite perimeter sets (V)

Seminar of the young mathematicians in GMT and calculus of variations

Coffee break

Geometry of measures and applications (V)

Seminar of the young mathematicians in GMT and calculus of variations

Opening/Welcome/Coffee

Lunch (tickets will be given during the opening session)

Presentation of the summer school

Integral geometric regularity (I)

Coffee break

Center manifolds and regularity of aera-minimizing currents (I)

Seminar of the young mathematicians in GMT and calculus of variations

Min-max theory and the solution to the Willmore conjecture (I)

Coffee break

Integral geometric regularity (II)

Lunch

Center manifolds and regularity of aera-minimizing currents (II)

Coffee break

F. Coda-Marques

Seminar of the young mathematicians in GMT and calculus of variations

Integral geometric regularity (III)

Coffee break

Min-max theory and the solution to the Willmore conjecture (III)

Lunch

Center manifolds and regularity of aera-minimizing currents (III)

Coffee break

Integral geometric regularity (IV)

Seminar of the young mathematicians in GMT and calculus of variations

Pétanque (Bowls) or badminton competition and apéritif

Center manifolds and regularity of aera-minimizing currents (IV)

Coffee break

Min-max theory and the solution to the Willmore conjecture (IV)

Lunch

Integral geometric regularity (V)

Coffee break

Center manifolds and regularity of aera-minimizing currents (V)

Seminar of the young mathematicians in GMT and calculus of variations

Coffee break

Min-max theory and the solution to the Willmore conjecture (V)

Seminar of the young mathematicians in GMT and calculus of variations

Opening/Welcome/Coffee

Lunch (tickets will be given during the opening session)

Presentation of the summer school

Duality approach to a variational problem involving a polyconvex integrand

Geometric measure theory issues from discrete energies

Coffee break

Weakly differentiable functions and Sobolev functions on varifolds

Isoperimetric problems

A numerical algorithm for L2 semi-discrete optimal transport in 3D

Coffee break

On geometric variational problems on the group of diffeomorphisms

TBA

Lunch

Free discontinuity problems and Robin boundary conditions

Coffee break

Nonlocal isoperimetric problems

Seminar of the young mathematicians in GMT and calculus of variations

A curvature energy for bilayer membranes

Coffee break

Rectifiable and at homology and cohomology theories

Persistent homology and geometric inference

Lunch

The Aviles-Giga functional: past and present

Walk in the Alpes and buffet at the Fourier Institute

Towards a unified theory of surface discretization

Coffee break

On the structure of phase transition maps : density estimates and applications

A purely geometric characterization of 1-Poincaré inequality

Lunch

An example of proving Almgrem's minimality by product of paired calibrations

Coffee break

Equidimensional isometric maps

Seminar of the young mathematicians in GMT and calculus of variations

Stability issues for the Einstein-Lichnerowicz constraint equations

Coffee break

A quantitative description of almost constant mean curvature hypersurfaces