Andreea Mocanu (University of Nottingham) gives a maths seminar at the School of Mathematics, UEA. The talk is on “On the relation between Jacobi forms and elliptic modular forms””. The abstract is below.

Jacobi forms arise naturally in number theory, for example as functions of lattices or as Fourier-Jacobi coefficients of other types of modular forms. They have applications in algebraic geometry, string theory and the theory of vertex operator algebras, among other areas. We are interested in establishing a precise connection between Jacobi forms of lattice index and elliptic modular forms, in order to transfer information from one side to the other. In this talk, we illustrate this connection via an example, namely that of Jacobi forms whose indices are the root lattices of type D_n.