The Art of Iterating Rational Functions over Finite Fields (13w5141)


(University of Wisconsin at Madison)

(Macquarie University)

(University of New South Wales)

(University of Michigan)


The Banff International Research Station will host the "The Art of Iterating Rational Functions over Finite Fields" workshop from May 5th to May 10th, 2013.

The field of complex dynamical systems generated by
iteration of polynomials and rational functions is a classical area of
mathematics with a rich history and a wide variety of results.
Recently, there has been substantial interest in arithmetical dynamical
systems (ADS), meaning the iteration of rational functions over fields of
number-theoretic interest.

In this workshop, we will study dynamical systems over finite fields, fertile ground
for potential applications
to many different areas of modern
cryptography, coding theory,
Monte Carlo simulations, physics, biology, and other
areas, as well as for the development of algorithmic and computer-oriented

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).