Calibrations of Degree Two and Regularity Issues

Calibrations of Degree Two and Regularity Issues - Constante Bellettini

Constante Bellettini
Princeton University; Member, School of Mathematics
April 9, 2013

Calibrated currents naturally appear when dealing with several geometric questions, some aspects of which require a deep understanding of regularity properties of calibrated currents. We will review some of these issues, then focusing on the two-dimensional case where we will show a surprising connection with pseudo-holomorphic curves and an infinitesimal regularity result, namely the uniqueness of tangent cones