# Vertex algebra and Poisson vertex algebra cohomology

**Date**: Friday 26 April 2019, 16:00 – 17:00**Location**: Mathematics Level 8, MALL 1, School of Mathematics**Type**: Seminars, Applied Mathematics, Integrable Systems**Cost**: Free

#### Professor Alberto de Sole, Universita' di Roma, La Sapienza.

We present an operadic approach to vertex algebra cohomology. A general construction associates a cohomology complex to a linear operad. In the case of the chiral operads we get a vertex algebra cohomology complex. Likewise, the associated graded of the chiral operad leads to a classical operad, which produces a Poisson vertex algebra cohomology complex. The latter is closely related to the variational Poisson cohomology.