**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.

**Seminars:**
**D. Bate:** *Purely unrectifiable metric spaces and perturbations of Lipschitz functions*
**K. Fässler:** *Metric currents and the Poincaré inequality*
**M. Focardi:** *The measure and the structure of the free boundary in the lower dimensional obstacle problem*
**D. Valtorta:** *Energy Identity for Stationary Yang Mills connections*
**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*
**N. Fusco:** *Asymptotic stability of the gradient flow of nonlinear energies*
**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.