Tristan Riviere: The work of Louis Nirenberg on Partial Differential Equations

Original title of the lecture: "Exploring the unknown, the work of Louis Nirenberg on Partial Differential Equations"
We had to shorten the title to fit Youtubes limitations of title length.

Abastract:
Partial differential equations are a central object in the mathematical modeling of natural and social sciences (sound propagation, heat diffusion, thermodynamics, electromagnetism, elasticity, fluid dynamics, quantum mechanics, population growth, finance...etc). They were for a long time restricted only to the study of natural phenomena or questions pertaining to geometry, before becoming over the course of time, and especially in the last century, a field in itself.
The second half of the XXth century was the ”golden age” of the exploration of Partial Differential Equations from a theoretical perspective.
The mathematical work of Louis Nirenberg since the 1940s has to a large extent contributed to the growth of this fundamental area of human knowledge. The name Nirenberg is associated to many of the milestones in the study of PDEs.
The award of the Abel Prize to Louis Nirenberg marks a special occasion for us to revisit the development of the field of PDEs and the work of one of the main actors of its exploration.

This lecture was held by Tristan Riviere, ETH Zurich, 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

Видео Tristan Riviere: The work of Louis Nirenberg on Partial Differential Equations канала The Abel Prize