Abstract for the talk at 28.06.2012 (11:15 h)Arbeitsgemeinschaft Geometric Measure Theory
Costante Bellettini (Princeton University, Institute for Advanced Study)
Regularity issues for Calibrated Currents
Calibrated currents provide interesting explicit examples of solutions to Plateau's problem. Their role goes however much beyond that: they naturally appear when dealing with several geometric questions, some aspects of which require a deep understanding of regularity properties of calibrated currents. After this introduction I will present an "infinitesimal regularity" result, namely on the uniqueness of tangent cones for pseudo-holomorphic currents.