Factorizable Structures in Topology and Algebraic Geometry (15w5125)


Gregory Arone (University of Virginia)

David Ayala (Montana State University)

(Northwestern University)

Dennis Gaitsgory (Harvard)

(Max Planck Institute for Mathematics)


The Banff International Research Station will host the "Factorizable Structures in Topology and Algebraic Geometry" workshop from August 9th to August 14th, 2015.

Factorization algebras and factorization homology arose originally from the study of conformal field theories, a class of theories from physics that possess beautiful mathematical properties. In particular, Beilinson and Drinfeld introduced factorization methods to provide a conceptual and geometric approach to the complicated algebraic structures appearing in conformal field theory. These ideas have expanded to offer a common approach to questions in algebraic
geometry, the topology of manifolds, and perturbative quantum field theory --- notably distinct fields of mathematics. The workshop Factorizable Structures in Topology and Algebraic Geometry brings together mathematicians specializing in each of these areas both to share the cutting edge of developing research and to foster new collaborations.

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).