Classical Problems on Planar Polynomial Vector Fields (08w5055)


(Department of Mathematics, Universidad Autonoma de Barcelona (Spain))

Dana Schlomiuk (Universite de Montreal)

Douglas Shafer (University of Northern Carolina at Charlotte)


The Banff International Research Station will host the workshop: “Classical Problems on Planar Polynomial Vector Fields” next week, November 23 - November 28, 2008.

Planar polynomial differential systems intervene often in applications, in mechanical and electrical systems, chemical reactions, fluid dynamics, population dynamics, cosmology, etc. The theory of these systems was founded in the late 19th century by Poincaré and forms the basis of the qualitative theory of ordinary differential equations.

There are several classical problems on planar differential systems which have defied researchers for more than a century. These problems were formulated by the great mathematicians Poincar'e, Hilbert and Darboux. In recent years we have been witnessing a steady progress on these classical problems, with consequences showing exciting connections among them and also with other areas of research. Research in this area is interdisciplinary involving methods of analysis, algebra, geometry as well as computer and numerical calculations.

The workshop will bring together experts who made significant contributions to this subject with specialists in connecting areas, important in these developments. The aim of the workshop is to share and advance knowledge as well as broaden connections between these groups of people to further the development on these classical problems and draw us near to their solutions.

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 US National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnologí­a (CONACYT).