Colloquium 24 May

On Wednesday 24 May ICTP will host mathematician Luis Caffarelli, for a colloquium titled "Non Linear Problems in Non Local Diffusion Processes." Professor Caffarelli is based at the University of Texas at Austin, and works on elliptic nonlinear partial differential equations and their applications. The colloquium will be held in the Budinich Lecture Hall at 16:30 Trieste time, and it will be livestreamed. Light refreshments will follow.

Caffarelli will be speaking on nonlocal diffusion problems, highlighting the many areas of mathematics in which they arise, including phase transitions, constrained configurations, quasilinear equation types, and financial engineering.

Hailing originally from Argentina, Caffarelli has won numerous awards and honors across his career, notably the Bocher Memorial Prize, the Rolf Schock Prize, the Leroy Steel Prize, the Wolf Prize, and the inaugural Solomon Lefschetz Medal. He is known as a leading specialist in free-boundary problems for nonlinear partial differential equations. 

Some of his most significant contributions are the regularity of free boundary problems and solutions to nonlinear elliptic partial differential equations, optimal transportation theory and, more recently, results in the theory of homogenization. In a series of papers starting in 1990, Caffarelli studied viscosity solutions to non-linear partial differential equations, both the Monge–Ampère equation and the equation that models flow in a porous medium. This has proven to be an important means to arrive at the existence and uniqueness of solutions.