Polynomials over Finite Fields and Applications (06w5021)


(University of British Columbia)

Stephen Cohen (University of Glasgow)

(Pennsylvania State University)

(Carleton University)


Finite fields are finite sets of objects which have an arithmetic that allows the usual operations of addition, subtraction, multiplication, and division, except that contrary to the real numbers, the set contains only a finite number of distinct elements. Some of the best finite field researchers from all over the world will converge on The Banff Centre during the period Nov. 18-23, 2006, where the Banff International Research Station will be hosting a workshop on recent developments in the theory of polynomials over finite fields. This event is co-organized by Professors Ian Blake of the University of Toronto, Stephen Cohen from the University of Glasgow, Gary Mullen from The Pennsylvania State University and Daniel Panario of Carleton University.

The workshop will focus on new results and methods in the study of various kinds of polynomials over finite fields. Finite fields are not only of deep mathematical interest in their own right but also play a critical role in modern information theory including algebraic coding theory for the error-free transmission of information and cryptology for the secure transmission of information. Polynomials over finite fields play an essential role in these and other very practical and important technologies; thus the emphasis of the workshop on various aspects related to polynomials with coefficients in finite fields.

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 administered by the Pacific Institute for the Mathematical Sciences, in collaboration with the Mathematics of Information Technology and Complex Systems Network (MITACS), the Berkeley-based Mathematical Science Research Institute (MSRI) and the Instituto de Matematicas at the Universidad Nacional Autonoma de Mexico (UNAM).