Nonlocal Interactions in Partial Differential Equations and Geometry

This is a summer school in the area of Elliptic Partial Differential Equations with motivation from Geometrical Analysis. It is oriented to PhD and postdoc students that are interested in deepening into these topics. Women mathematicians are encouraged to participate.

The theory of second order elliptic equations has been flourishing during the last fifty years, and in the last decade has experienced some major advances. Deep mathematical concepts lead to the field of Elliptic PDE’s, such as competitive systems, scattering theory or the Yamabe problem. The frameworks of study may be also diverse, ranging from the Euclidean setting to hyperbolic spaces. Moreover, there are important applications to population dynamics, theoretical physics or differential geometry. In Europe there is an important mathematical community working in the area of Elliptic PDE’s, in particular brilliant women mathematicians with strong influence in the development of the field.

The aim of this summer school is to introduce two research lines of current interest in Elliptic PDE’s:

The Fractional Yamabe Problem (by María del Mar González) and

Geometric Aspects of Phase Separation (by Susanna Terracini)

The complete information can be found in the website: https://ewmems2018mli.sciencesconf.org/