Moduli spaces in conformal field theory and Teichmuller theory (12rit139)


Yi-Zhi Huang (Rutgers University)

(American University of Sharjah)

(University of Manitoba)

(Uppsala University)


The Banff International Research Station will host the "Moduli spaces in conformal field theory and Teichmuller theory" workshop from August 12th to August 19th, 2012.

Conformal field theories are physical models of statistical or quantum mechanical field theories with local invariance under scale and rotation. The mathematical theory of two-dimensional conformal field theories is very rich and has led to many fundamental advances in different branches of mathematics. We plan to use a recently discovered link between conformal field theory and quasiconformal Teichmuller theory, to solve outstanding analytic problems arising in the rigorous construction of two-dimensional conformal field theory from vertex operator algebras.

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).