In 2013 a school on Geometric Measure Theory and Real Analysis organized by G. Alberti C. De
Lellis and myself took place at the Centro De Giorgi in Pisa with lectures by V. Bogachev R.
Monti E. Spadaro and D. Vittone. The book collects the notes of the courses. The courses
provide a deep and up to date insight on challenging mathematical problems and their recent
developments: infinite-dimensional analysis minimal surfaces and isoperimetric problems in the
Heisenberg group regularity of sub-Riemannian geodesics and the regularity theory of minimal
currents in any dimension and codimension.
