Date: 2021/10/15
Time: 10:00-12:00
Venue: UNNC Library Multi-function Room 2
Speaker: Camillo De Lellis, Institute for Advanced Study, Princeton
Organizer: School of Mathematical Sciences
Click here to watch the workshop recording
Abstract:
The Plateau problem consists, loosely speaking, in finding the surface of least area spanning a given contour. Integral area minimizing currents are one of the most efficient way of solving it in very high generality with the direct methods of the calculus of variations. However, a general integral current is very non-smooth and a pivotal question in the area is how regular minimizers are. This question, which is especially subtle because singular examples are known to be abundant, has driven a lot of research in geometric analysis for more than 50 years. In this lecture I will review classical results and touch open more recent developments and open problems.
Biography:
Camillo de Lellis was born in San Benedetto del Tronto, Italy, in June 1976. In 1995 he moved to Pisa to attend the lectures of Mathematics of the Università di Pisa. At the same time, he obtained an undergraduate scholarship from the Scuola Normale. After graduating from both schools, he entered the Ph.D. program of the Scuola Normale and completed his dissertation with Luigi Ambrosio, titled On the Jacobian of Weakly Differentiable Maps. The research expertise of Camillo includes Calculus of Variations, Hyperbolic systems of conservation laws, Geometric measure theory and Fluid dynamics. He wrote more than one-hundred articles, with more than 2000 citations indexed by the American Mathematical Society. He completed his first paper before the end of his second year as undergraduate student. This paper was published in the journal Calculus of Variations and Partial Differential Equations before he obtained his first degree in Mathematics. After a Postdoc at Max Planck Institute in Leipzig, he moved to Switzerland in 2003 as a Postdoctoral researcher at the ETH of Zürich, before becoming Full Professor at the University of Zürich. He left Zürich on 2018 when he transferred to US. During this period, he has also been recognized with the status of Swiss citizenship. On July 2018 he was appointed as a Professor of the Institute for Advanced Study (IAS) in Princeton and, one year later, he became IBM Von Neumann Professor of the Institute. This is his current position at the IAS, while he is also lecturing at the University of Princeton. During his career he received honors as the Fermat Prize (2013) and the Caccioppoli Prize (2014); he served as editor of multiple journals, including the prestigious journal Inventiones in the role of managing editor. He is married with three children.