- Homogenization of variational problems
- Gamma-Convergence and relaxation
- Variational methods in continuum mechanics
- Variational methods in rate independent evolution prooblems
- Variational methods in phase transitions
- Variational methods in micromagnetics
- Applications of geometric measure theory
- Existence problems in the calculus of variations
- Hamilton-Jacobi equations

Research Group:

## Geometric Variational Problem

SIR Grant number: RBSI14RVEZ

## Gamma-convergence

**Direct methods in the calculus of variations:**

- semicontinuity and convexity,
- coerciveness and reflexivity,
- relaxation and minimizing sequences,
- properties of integral functionals.

**Gamma-convergence:**

## Spaces with Ricci curvature bounded from below

Aim of the course is to be an introduction to the study of `metric measure spaces with Ricci curvature bounded from below'. Preliminaries are measure theory and some knowledge of Riemannian geometry. Then I will discuss: