Chiral homology of elliptic curves

2021/05/20 Thu 10:30 - 12:00
Jethro van Ekeren
Universidade Federal Fluminense

In this talk I will discuss results of an ongoing project (joint with Reimundo Heluani) on the chiral homology of elliptic curves with coefficients in a conformal vertex algebra. Since the work of Y. Zhu it is clear that this homology has important applications to the representation theory of vertex algebras. We construct a flat connection on the first chiral homology over the moduli space, and relate the nodal curve limit with the Hochschild homology of the Zhu algebra. We construct flat sections from self-extensions of modules. Along the way we find interesting links between these structures, associated varieties of vertex algebras, and classical identities of Rogers-Ramanujan type (this last part joint work with George Andrews).

This will be a zoom seminar.

Zoom URL:
passcode: The order of the Mathieu group $M_{24}$