New Perspectives in Univariate and Multivariate Orthogonal Polynomials (10w5061)

Arriving in Banff, Alberta Sunday, October 10 and departing Friday October 15, 2010


Tom Bloom (University of Toronto)

(Georgia Institute of Technology)

Plamen Iliev (Georgia Institute of Technology)

(Georgia Institute of Technology)

(Vanderbilt University)


Objectives of Workshop

The focus of the conference will be univariate and multivariate orthogonal polynomials, especially their spectral theory, and asymptotic behavior. The aim is to bring together experts who have different approaches to these questions - for example those using pluripotential theory and those using real multivariate techniques, as well as those involved in spectral theory and asymptotics in the univariate case. Most orthogonal polynomial workshops have tended to separate real techniques from complex ones, and univariate from multivariate perspectives. 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.

Program of the Workshop

There will be about 6 one hour long talks and 30 half hour talks. There will be ample time in between for questions, and discussion. There will be a focused problem session during the conference - probably half way though, so that participants can consider these for a few days during their stay in Banff.

Relevance, Importance and Timeliness

In recent years, asymptotics and spectral theory of orthogonal polynomials have been used to study random matrices, combinatorial questions, Toda lattices, discrete Schrodinger operators and weighted approximation. The real and complex, univariate and multivariate 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 would be timely, and have a different focus from any other that we know of.

Between 5 and 10 of the participants will be young researchers (including some graduate students and postdocs).