Vertex algebra and Poisson vertex algebra cohomology

Alberto De Sole (Università di Roma La Sapienza)

Tuesday 23rd April, 2019 16:00-17:00 Maths 311B


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.

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