Analytic versus Combinatorial in Free Probability (16w5025)


Roland Speicher (Saarland University)

(Queen's University)

(University of Waterloo)

Dan-Virgil Voiculescu (UC Berkeley)


The Banff International Research Station will host the "Analytic versus Combinatorial in Free Probability" workshop from December 4th to December 9th, 2016.

Free Probability is a recent mathematical theory which tries to
understand non-commutative algebras (as they are used, e.g., to
model quantum mechanics) inspired by classical probability theory.
This approach has been very successful, solving some longstanding
problems in the field of operator algebras. Quite surprisingly,
it has turned out that the methods and results of free probability
can also be used to describe the spectral properties of random
matrices. The latter appear in many models in applied sciences;
e.g., Wishart random matrices are at the basis of modern statistics and
similar kind of random matrices are used to model wireless communication
by electrical engineers. This workshop aims at developing
free probability further, in particular, with a view towards its analytic and
combinatorial aspects and their interaction.

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).