Seminars & Colloquia Calendar
Vertex Operator Algebras, Modular Forms and the Verlinde Formula
Sven Moeller, Rutgers University
Location: Hill 525
Date & time: Monday, 13 November 2017 at 1:00PM - 2:00PM
Abstract: I will describe important topics in the representation theory of vertex operator algebras (VOAs). Under certain regularity assumptions the graded dimensions (or characters) of VOAs and of their irreducible modules are modular forms. As such they transform in a certain way under the action of SL_2(Z) on the complex upper half-plane. The miraculous Verlinde formula provides a relation between the image of a certain matrix S under this action and the fusion rules of the irreducible modules.