Geometric Properties of Local and non-Local PDEs (17w5047)


Marí­a del Mar González Nogueras (Universidad Autónoma de Madrid)

Jeffrey Case (Penn State University)

Manuel del Pino (University of Bath)

(University of British Columbia)


The Casa Matemática Oaxaca (CMO) will host the "Geometric Properties of Local and non-Local PDEs" workshop from May 21st to May 26th, 2017.

The focus of this workshop is the study of non-local operators. These appear many applications such as physics, economy, probability, fluid mechanics, geometry, etc... Their significance comes from the fact that they model processes in which long range interactions (and not only the ones with the closest neighbours) play a role. This fact leads to inmediate applications in population dynamics or economic models, for instance.

Here we concentrate in their geometric interpretation. For instance, there are many ways to understand how a surface is curved, depending on the magnitude we wish to measure and in particular, on the weight we give to the far away points. As a consequence, one expects a rich interaction between the geometry of a surface and non-local operators on such surface.

The Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry.

The research station in Banff is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT). The research station in Oaxaca is funded by CONACYT.