From Many Body Problems to Random Matrices (19w5176)


(University of British Columbia)

Paul Bourgade ()

Laszlo Erdos (Institute of Science and Technology Austria)

Jeremy Quastel (University of Toronto)


The Banff International Research Station will host the "From Many Body Problems to Random Matrices" workshop in Banff from August 4, 2019 to August 9, 2019.

Random matrix theory is a vibrant area of probability theory and mathematical physics, with applications across mathematics, physics and engineering. The workshop will focus on the study of dynamics of many body systems, in order to deepen the connections between random matrix theory and the KPZ fixed point, a paradigm for various growth models. This is a very active field, since similar exotic distributions strikingly appear in both domains, but our understanding for the reasons of this analogy is still superficial.

In recent years, the detailed study of the Dyson Brownian motion dynamics led to a period of intense research activity on random matrix universality, and our understanding continues to expand at a fast pace. This meeting aims at enlarging the range of applications of the dynamics idea to approach universal properties of stochastic growth models and other many body systems. This workshop brings together various groups of experts, in probability and mathematical physics, working on the theory of random matrices and stochastic partial differential equations to discuss the most recent results and open problems in the field.

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).