Integrable and stochastic Laplacian growth in modern mathematical physics (10w5019)


Darren Crowdy (Imperial College London)

(Royal Institute of Technology, Stockholm)

(Centre de recherches mathematiques, Universite de Montreal, and Concordia University)

Mark Mineev-Weinstein (Federal University of Rio Grande do Norte, Brazil)

(University of California at Santa Barbara)


The Banff International Research Station will host the "Integrable and stochastic Laplacian growth in modern mathematical physics" workshop from October 31 to November 5, 2010.

Several moving boundary processes, such as solidification, electrodeposition, viscous fingering of an interface between
two fluids (such as oil in water), and bacterial or cancerous proliferation, can be reduced, after some idealizations, to the so called Laplacian growth model. In spite of more than a century of continuous research and fundamental discoveries, the mathematical aspects of this apparently innocent two dimensional theory remain intriguing and very challenging. A statistical interpretation of the same expansion phenomenon is currently under a rapid and thorough investigation, with unexpected ramifications to modern quantum field theory.
The workshop will gather internationally renown experts in
pure and applied mathematics, theoretical and mathematical physics, and computer science currently working on aspects of this fascinating interdisciplinary area.

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).