Invitation to ICTP Colloquium on Wednesday 24 May 2017: "Non Linear Problems in Non Local Diffusion Processes", by Prof. Luis Caffarelli

[ICTP Director]

Dear All,

ICTP is pleased to announce that the forthcoming ICTP Colloquium, "Non 
Linear Problems in Non Local Diffusion Processes", by Prof. Luis 
Caffarelli, University of Texas at Austin, will take place *next week, 
on Wednesday 24 May  at 16:30 hrs*, in the Budinich Lecture Hall, 
Leonardo Building, ICTP.

BIOSKETCH: Luis A. Caffarelli earned his Ph.D. in mathematics from the 
University of Buenos Aires. He is now professor of mathematics and holds 
the Sid W. Richardson Foundation Regents’ Chair in Mathematics No. 1 at 
the University of Texas at Austin. He is also a core member of Institute 
for Computational Engineering and Sciences there. The focus of Professor 
Caffarelli’s research has been in the area of elliptic nonlinear partial 
differential equations and their applications. His research has reached 
from theoretical questions about the regularity of solutions to fully 
nonlinear elliptic equations to partial regularity properties of Navier 
Stokes 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. 
As a result, Caffarelli has been cited as the world’s leading specialist 
in free-boundary problems for nonlinear partial differential equations, 
and a pioneer in methods tackling many classical problems that have long 
defied mathematicians. With his collaborators, he has authored more than 
280 scientific publications documenting this work. Caffarelli has 
received numerous honors and awards including seven honorary doctorates, 
the Stampacchia Medal from the Italian Mathematical Union, the Bocher 
Memorial Prize from the American Mathematical Society, the Pius XI Gold 
Medal from the Pontifical Academy of Sciences, the Premio Konex, Platino 
y Brillantes from the Konex Foundation in Argentina, and the Rolf Schock 
Prize from the Swedish Royal Academy of Sciences. He also received the 
Leroy P. Steele Prize for Lifetime Achievement in Mathematics from the 
American Mathematical Society. In 2012 he received Israel’s Wolf Prize 
in Mathematics. The following year he was honored with the first ever, 
Solomon Lefschetz Medal at the inaugural Mathematical Congress of the 
Americas.

ABSTRACT: Non local diffusion problems arise in many areas of 
mathematics: phase transitions, constrained configurations, quasilinear 
equation types, financial engineering. Prof. Caffarelli will present 
some of the problems and discuss the mathematical ideas involved in 
their study.

The abstract of the talk is available at http://indico.ictp.it/event/8217/

The Colloquium will be livestreamed at http://video.ictp.it/livestream

The poster is attached.

Light refreshments will be served after the lecture.

You are all very warmly invited to attend.

Office of the Director, ICTP