|Topic:||Tangent Cones to Calibrated Currents|
|Affiliation:||Princeton University; Member, School of Mathematics|
|Date:||Thursday, November 17|
|Time/Room:||2:00pm - 3:00pm/West Bldg. Lecture Hall|
Calibrated currents are a particular class of volume-minimizers and as such 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. After a brief introduction to currents and calibrations, we will overview some geometric problems where the smoothness properties of calibrated currents play a key role. After a review of some known smoothness results I will present an "infinitesimal regularity" result, namely on the uniqueness of tangent cones for pseudo-holomorphic currents.