Computability, Analysis, and Geometry

The Banff International Research Station will host the "Computability, Analysis, and Geometry" workshop from March 8th to March 13th, 2015.

Computation and numerical simulation have become crucial tools in dynamics, and in many branches of analysis. Their use is key to understanding a wide range of phenomena ranging from planets’ movement, to climate patterns, to market dynamics. Various numerical tools have been developed to help answer specific questions, such as predicting the weather or planning the trajectory of a satellite. However, while we have vast knowledge about the computability and complexity of discrete problems, culminating in concepts such as decidability and NP-completeness, computability theory of the continuous world is only beginning to come into its own. Theory of computation of analytic objects is an emerging field of mathematics which has seen much exciting progress recently. Developing it is important for understanding numerical and theoretical challenges in modeling complex phenomena and systems. The aim of the interdisciplinary workshop is to bring together the experts and top young talent working on different aspects of theory of computation in dynamics, analysis, and geometry. It will create a unique opportunity at building new synthesis and identifying new directions within this exciting emerging discipline.

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).

BIRS Scientific Director, Nassif Ghoussoub
E-mail: birs-director[@]birs.ca
http://www.birs.ca/~nassif