This year's Abel Prize winner Luis Caffarelli opens the 2023 Abel Prize Lectures with his prize lecture. Then the mathematicians Sylvia Serfaty, Alessio Figalli and Luis Silvestre will follow.
Time: May 24, 2023 at 10:00 - 14:45
Location: University of Oslo, Georg Sverdrups hus, Moltke Moes vei, 0851 Oslo
The lectures are open, the lunch requires registration.
The lectures will be available later on YouTube and on Abelprize.no
Program
10:00: Welcome by
Helge Holden, moderator / Chair of the Abel Commitee
Per Morten Sandset, vice principal, The University Of Oslo
Lise Øvreås, President of The Norwegian Academy of Science and Letters
10:15: Luis A. Caffarelli: "Non-linear and non-local surface structure problems and some of its applications"
11:10: Professor Sylvia Serfaty: "From diffusions to fluid equations: the question of regularity"
12:05: Lunsj
13:00: Professor Alessio Figalli: "From elastic membranes to ice melting"
14:00: Professor Luis Silvestre: "Fully nonlinear elliptic equations and applications"
14:55: Closing by Chair of the Abel Board, mathematician Ingrid Glad
Luis A. Caffarelli: "Non-linear and non-local surface structure problems and some of its applications" - abstract:
We introduce non-local fractional diffusion and evolution processes modeling diverse structures in the formation of free boundary problems and diffusion phenomena arising, for instance, from the evolution of energy-partition methods, involving a regularizing mechanism such as local and fractional free energies and convex-like potentials. The applications are abundant in natural sciences and engineering structures, stochastic processes in financial modeling and beyond.