The Lluís Santaló Summer School on "Interactions between PDE and probability" will take place at Palacio de la Magdalena in Santander, Spain, from 13 to 17 August 2018 (map here). It is part of the summer courses at the Universidad Internacional Menéndez Pelayo, and it is co-funded by the Real Sociedad Matemática Española (RSME) and Universidad Internacional Menéndez Pelayo (UIMP).

The course series is named after the Spanish mathematician Lluís Antoni Santaló Sors.

Courses by

Eric Carlen
Rutgers University, US
Martin Hairer
Imperial College London, UK
Benoît Perthame
Université Pierre et Marie Curie, France
Dejan Slepčev
Carnegie Mellon University, US
Angela Stevens
Universität Münster, Germany

Talks by

Matteo Bonforte
Universidad Autónoma de Madrid, Spain
Vincent Calvez
École Normale Supérieure de Lyon, France
Xue-Mei Li
Imperial College London, UK
Barbara Niethammer
Universität Bonn, Germany
Grigorios Pavliotis
Imperial College London, UK
Juan Luis Vázquez
Universidad Autónoma de Madrid, Spain


José A. Cañizo (email)
Universidad de Granada, Spain
José A. Carrillo (email)
Imperial College London, UK


In the recent years a fruitful interaction has taken place between probability, functional inequalities and nonlinear partial differential equations (PDEs). Among others, there have been advances in entropy/entropy production inequalities for nonlinear aggregation-diffusion equations and transport inequalities and their links to the probability distribution of Fokker-Planck models. Some examples of current interest are the applications of variants of the Hardy-Littlewood-Sobolev inequality to understand Keller-Segel-type models and of Doeblin/Harris methods in integral kinetic equations. On the other hand, the analysis of stochastic interacting particle systems, stochastic PDEs and related relevant questions such as mean-field limits and phase transitions is booming; in particular due to the important applications in life-sciences. This summer school proposes five courses which give an advanced introduction to these topics and their applications in life sciences models, and six talks that present current related research problems.