Orthogonal and Multiple Orthogonal Polynomials (15w5022)
Jeffrey Geronimo (Georgia Institute of Technology)
Luc Vinet (University of Montreal)
The focus of the conference will be quantitative analysis of orthogonal polynomials and multiple orthogonal polynomials including algebraic, analytic, and asymptotic properties of these systems. The conference brings together experts who have different approaches to these questions - for example those using algebraic techniques and those using analytic techniques. There has not been any meeting focusing on this cross-section of researchers in these varying directions in the past few years. We expect the communication of ideas and methods from these different approaches will encourage new techniques and research across several topics.
In recent years, asymptotics and spectral theory of orthogonal and multiple orthogonal polynomials have been used to study random matrices, combinatorial questions, statistical models, Toda lattices, discrete Schrodinger operators and weighted approximation. The real and complex techniques that underlie some of these asymptotics have been undergoing rapid development. The problems within the focus of the conference are widely applied, highly regarded, and very active areas of research. The conference is timely, and will have a different focus from any other that we know of.