Conformal blocks defined by modules over vertex algebras of CohFT-type

In this talk I will discuss properties of certain vector bundles on the moduli space of stable n-pointed curves which arise from finitely generated admissible modules over certain vertex algebras. I will in particular describe conditions on the vertex algebra that guarantee that the factorization property holds for these vector bundles and discuss its consequences. This is based on a joint work with A. Gibney and N. Tarasca.