Multivariate Operator Theory

The Banff International Research Station will host the "Multivariate Operator Theory" workshop from April 5th to April 10th, 2015.

Operator theory is a century-old field of mathematics with deep roots in mathematical physics and engineering systems. During the last three decades the field has significantly broadened and changed due to the influx of ideas and techniques pertaining to analytic function theory and differential geometry. This has led to new questions and new results, which, in turn have allowed the investigation of completely new phenomena including generalizations of probability theory and analysis to functions of both non commuting and free variables. The resulting interdisciplinary topics of research, cover most of what is commonly known as multivariate operator theory, and offer a wide spectrum of challenges for the working mathematician, new vistas for beginners, and has endless applications to modern physics, statistics and engineering.

While everyone is accustomed to functions of numbers, increasingly technological problems involve large arrays of data called matrices. Since matrix multiplication is not commutative, manipulation of matrices involves important challenges that take one into the domain of free and non commutative multivariate operator theory.

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