Regularity issues for Calibrated Currents

  • Costante Bellettini (Princeton University, Institute for Advanced Study)
A3 01 (Sophus-Lie room)


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.