University of Regina

Abstract: Many problems of mechanics, sound propagation, mathematical biology, etc., can be effectively modelled with matrix eigenvalue problems in which the eigenvalue parameter appears in a nonlinear fashion. Over the last fifty years or so, this...

Abstract: There is a remarkable connection pioneered by Alain Connes between operator algebras, which originated as the mathematical models for quantum mechanical systems, and abstract structures arising from number theory. This connection is based...

Abstract: We give survey of how the phenomenon of amenability manifests itself for locally compact groups and for Banach algebras, and we will try to convince the audience that amenability is best viewed as a weak finiteness condition.

This workshop will focus on the two-way traffice between Geometry and Commutative Algebra. It will consist of three courses, one each on foundations, current research, and open problems in Commutative Algebra and Geometry: Secant Varieties Instructor...

The Workshop on Representation Theory will feature 6-8 one-hour survey lectures by top scholars in the field directed at early-career researchers, graduate students, and senior undergraduates. At the Workshop, our plan is to have three or four of the...

Abstract: The Kadison-Singer problem is a problem in the theory of C*-algebras that was motivated by mathematical physics. It has been open for over 50 years. Recently, work of Casazza lead to a resurgence of interest in this problem, when he proved...

Mathematics often is described as the language of science, particularly suited to speak to problems in physics, chemistry, engineering, and so on. Is mathematics also the language of life, suited to speak to problems in biology? Indeed, mathematics...

The classical McKay correspondence relates the geometry of Kleinian singularities to the representation theory of finite subgroups of SL(2,C). We will review the fascinating history. An intriguing application leads to an explicit classification of...