Characters of VOAs and modular forms

Abstract: Modular forms have appeared throughout the representation theory of vertex operator algebras (VOAs) from the very beginning of the subject, for example, via the study of VOAs modeled on representations of infinite dimensional lie algebras, as well as spectacular examples such as the monster module. In this talk we will explain how the theory of modular forms can be used to study representations of VOAs, in a similar way to how character tables can aid the study of representation theory of finite groups. No prior knowledge of VOA theory will be assumed.

number theory

Audience: researchers in the topic

Algebra and Number Theory Seminars at Université Laval