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Bogachev: Sobolev classes on infinite-dimensional spaces -- Roberto Monti: Isoperimetric problem and minimal surfaces in the Heisenberg group -- Emanuele Spadaro: Regularity of higher codimension area minimizing integral currents -- Davide Vittone: The regularity problem for sub-Riemannian geodesics. 330 $aIn 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. 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