Tilman Bauer: Topological Jacobi Forms

Abstract

Jacobi forms are a two-variable generalization of modular forms, behaving like a modular form in the first variable and like an elliptic function in the other. They incorporate a number of interesting objects from arithmetic, such as theta series and Siegel modular forms. Using equivariant topological modular forms, building on ideas by Lurie and recent work by Gepner and Meier, I will construct a periodic ring spectrum TJF of topological Jacobi forms and show that, surprisingly, it is connected to the topological modular forms of a well-known spectrum.

The talk will not assume prior knowledge of topological modular forms.

This is joint work with Lennart Meier.