Matt Krauel, California State University at Sacramento

Differential operators of Jacobi forms in the theory of vertex operator algebras

Abstract: We will briefly explain how differential operators of Jacobi forms arise
in the theory of vertex operator algebras (VOAs). We then introduce a family of
differential operators that occur for a certain class of VOAs and explain some
possible applications. Time permitting, we will also mention how the theory of VOAs
can be used to show certain polynomials of quasi-Jacobi forms are Jacobi forms.
Prior knowledge of VOAs is not necessary.