Calibrations of Degree Two and Regularity Issues

Analysis Seminar
Topic:Calibrations of Degree Two and Regularity Issues
Speaker:Constante Bellettini
Affiliation:Princeton University; Member, School of Mathematics
Date:Tuesday, April 9
Time/Room:3:15pm - 4:15pm/S-101
Video Link:https://video.ias.edu/analysis/1213/0409-ConstanteBellettini

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