Recent Advances on de Giorgi's Conjecture and the Study of Entire Solutions of Nonlinear Scalar Equations: Interaction of PDEs and Differential Geometry (10w5036)

Organizers

(University of Chile)

(University of Connecticut)

(University of British Columbia)

Description

The Banff International Research Station will host the "Recent Advances on de Giorgi's Conjecture and the Study of Entire Solutions of Nonlinear Scalar Equations: Interaction of PDEs and Differential Geometry" workshop from August 8 to 13, 2010.


The conference will provide a forum for the dissemination of current advances in the study of De Giorgi's Conjecture, and entire solutions for the Allen-Cahn and Nonlinear Schrodinger equations which model various physical phenomena, including superconductors and superfluids, phase transitions, and quantum mechanics. A better understanding of these equations naturally leads to new insights in the physical models. The focus will be on the new found connection between the theories of minimal and constant mean curvature surfaces and partial differential equations.




The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides 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 is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the US National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnologia (CONACYT).