Some minimal integral currents in geometry: the calibrated ones

Costante Bellettini

(ETH Zurich)

Event: ERC School on Analysis in Metric Spaces and Geometric Measure Theory

Date: Jan 13, 2011, time: 18:50

Place: Centro De Giorgi, Scuola Normale Superiore

Abstract. Calibrated integral currents are a particular class of mass-minimizers. In addition to providing interesting concrete examples of solutions to the Plateau's problem, they naturally appear when dealing with several geometric questions. We will overview some of these and see the optimal regularity result for the so-called 3D Special Lagrangian cones.