Convex Sets and their Applications (06w5059)


(University of Calgary)

Paul Goodey (University of Oklahoma)

(Technische Universität München)

(University of Magdeburg)

David Larman (University College London)


Analytic Convex Geometry was already practiced several millenia ago by the great Egyptian, Babylonian and Greek geometers. It deals with such fundamental topics as the intrinsic properties of convex sets (volume, surface area, curvature, etc.), with the nature of convexity in diverse topological settings and with the role of convexity in approximation and stochastics. Discrete Convex Geometry deals with the structure and complexity of objects such as finite point sets, polytopes and arrangements of n-dimensional convex bodies. The roots of Applied and Computational Convexity lie jointly in geometry, in mathematical programming and in computer science.

In the past twenty years, there has been a significant development and increase in the importance of Convex Geometry which have resulted in a large number of excellent young researchers developing the various branches (Discrete,Analytic and Applied) of the discipline. The BIRS workshop is being organized by Ted Bisztriczky (University of Calgary), Paul Goodey (University of Oklahoma), Peter Gritzmann (Technische Universität München), Martin Henk (University of Magdeburg), and David Larman (UC London). It is focussed on bringing together active researchers representing the various aspects of convexity, in order to initiate new collaborations and to foster awareness of the developments across the full breadth of his growing area.

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, which itself is a collaborative venture between the major universities in Alberta, BC and Washington State.