Developments in the Theory of Homogenization (15w5164)


Inwon Kim (UCLA)

Claude Le Bris (Ecole Nationale des Ponts et Chaussees)

Fang-Hua Lin (New York University)

Panagiotis Souganidis (University of Chicago)

Yifeng Yu (University of California Irvine)


The Banff International Research Station will host the "Developments in the Theory of Homogenization" workshop from July 26th to July 31st, 2015.

The homogenization theory aims to discover large-scale properties of physical objects with small-scale structure, such as composite materials. It has many significant applications in physics and engineering, which are usually modeled through partial differential equations (PDE) in inhomogeneous environments. A basic question here is to identify the PDE at the macroscopic level. This is a classical field of mathematics, and while tremendous progress has been made in both the computational and analytical aspects, much remains to be answered. In light of remarkable recent progress in this area, in this workshop we intend to bring together active experts from different areas of mathematics to exchange new ideas and techniques. Those areas include PDE, probability and scientific computing.

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 U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).