Abstract:
Nash Equilibria, Nash functions, Nash manifolds, the Nash-Moser iteration, the Nash embedding theorems, the De Giorgi-Nash Theorem.
These names will remain in the history of science to testify to the extreme originality of a mathematician who has tackled and solved some of the hardest problems of contemporary mathematics, revolutionizing our understanding of entire subjects. The hope of this talk is to convey the sense of incredulity and marvel that generations of scholars have experienced while delving into his work.
Camillo De Lellis is an Italian mathematician who is active in the fields of calculus of variations, hyperbolic systems of conservation laws, geometric measure theory and fluid dynamics. He is a permanent faculty member in the School of Mathematics at the Institute for Advanced Study.
This lecture was held at The University of Oslo, May 20, 2015 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations.
Program for the Abel Lecture 2015:
1. "An Interesting Equation" by Abel Laureate John F. Nash, Jr., Princeton University
2. "Surely you're joking, Mr. Nash?" by Camillo De Lellis, University of Zürich
3. "Some remarks on Mathematics" by Abel Laureate Louis Nirenberg, Courant Institute, New York University
4. "Exploring the unknown, the work of Louis Nirenberg on Partial Differential Equations" by Tristan Rivière, ETH Zurich
5. "Soap Bubbles and Mathematics" a Science Lecture by Frank Morgan, Williams College, US