Painleve Equations and Discrete Dynamics (16w5027)


(University of Sydney)

Vladimir Dragovic (The University of Texas at Dallas)


The Banff International Research Station will host the "Painlevé Equations and Discrete Dynamics" workshop from October 2nd to October 7th, 2016.

Interest in non-linear models has grown dramatically over the last decades, since, on the one hand, chaos was discovered in simple models of the atmospheric circulation, and on the other hand astonishingly well-ordered and predictable behaviour was found in certain models of non-linear lattices used to describe thermal properties of metals. The latter observations led to the theory of solitons and completely integrable systems, one of the most profound advances of twentieth century mathematics. Reductions of soliton equations led to the Painlevé equations, which are canonical representations of integrable models in one dimension. Integrable systems have now been recognized as widely applicable models of science, occurring in fluid dynamics, particle physics, solid state physics, optics and many other 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 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)..