Calculus of Variations and Geometric Measure Theory

Workshop MAR: Metric Analysis and Regularity

created by marchese on 20 Apr 2018
modified by dimarino on 18 Sep 2018

24 sep 2018 - 28 sep 2018   [open in google calendar]

Università di Catania

The goal of this workshop is to group together experts, young researchers, and students working in Calculus of Variations and Geometric Measure Theory, in order to discuss the state of the art, some recent results, and some of the major open problems in the fields of Metric Analysis and Regularity theory for geometric and variational problems and to foster exchange of ideas and collaboration.

The mornings will be devoted to three lecture series of 3x90 minutes each, by Luigi Ambrosio, Aldo Pratelli, and Emanuele Spadaro. Seminar sessions will be organized in the afternoons.

Organizers: Simone Di Marino, Andrea Marchese, Daniele Puglisi.

3 Sep 2018
D. Bate: Purely unrectifiable metric spaces and perturbations of Lipschitz functions
4 Sep 2018
K. Fässler: Metric currents and the Poincaré inequality
11 Sep 2018
M. Focardi: The measure and the structure of the free boundary in the lower dimensional obstacle problem
19 Sep 2018
D. Valtorta: Energy Identity for Stationary Yang Mills connections
24 Sep 2018
L. Ambrosio: Well-posedness of ODE's in metric measure spaces
A. Pratelli: The isoperimetric problem in the Euclidean space with densities
E. Spadaro: How a minimal surface leaves a thin obstacle
25 Sep 2018
N. Fusco: Asymptotic stability of the gradient flow of nonlinear energies
26 Sep 2018
O. Maleva: Geometry of sets of non-differentiability
A. Massaccesi: Mass-minimizing integral currents: regularity at the boundary
X. Ros-Oton: Generic regularity of free boundaries for the obstacle problem in $\mathbb{R}^3$
D. Vittone: Rectifiability issues in sub-Riemannian geometry

Speakers: Luigi Ambrosio, David Bate, Katrin Fässler, Matteo Focardi, Nicola Fusco, Olga Maleva, Annalisa Massaccesi, Emanuel Milman, Aldo Pratelli, Xavier Ros-Oton, Emanuele Spadaro, Daniele Valtorta, Davide Vittone.