Jurgen Fuchs
Karlstad University, Sweden
Algebras in tensor categories and applications in conformal field theory.
Abstract: A basic mathematical ingredient in two-dimensional conformal quantum field theory is the representation category C of the vertex algebra that describes the so-called chiral symmetries of the theory. It has recently been established that a second, equally important, ingredient is a certein Frobenius algebra internal to the tensor category C. In the talk I will describe various aspects of such algebras and the role they play in conformal field theory.