Tangent Cones to Calibrated Currents
| Analysis Seminar | |
| Topic: | Tangent Cones to Calibrated Currents |
| Speaker: | Constante Bellettini |
| 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.