Alexandrov Geometry (10rit151)


(University of Illinois at Urbana-Champaign)

(University of Toronto)

Anton Petrunin (Pennsylvania State University)


The "Alexandrov Geometry" workshop will be hosted at The Banff International Research Station.

The team is working on a comprehensive book entitled "Alexandrov Geometry". This subject, which has been much developed in the last 20 years, concerns the structure of very general spaces that are not flat like standard Euclidean space, but are curved in ways that allow them to be compared with Euclidean space. Perelman's celebrated solution of the Poincar'{e} conjecture has drawn wide attention to the theory of such spaces. These spaces also have turned out to interact extensively with other branches of mathematics and its applications. At present, no text exists that covers both the basics and the modern techniques and advances, and we wish to remedy this situation.

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 Tecnologí255a (CONACYT).