Geometry Seminar

 

University of Tor Vergata, Department of Mathematics

7^th of November 2023, 15:00-16:00, room “Dal Passo”

 

 

 

 

 

 

 

 

Functorial constructions of double Poisson vertex algebras

 

 

 

Anne Moreau

Laboratoire de Mathématiques d'Orsay

 

 

 

To any double Poisson algebra we produce a double Poisson vertex algebra using the jet algebra construction. We show that this construction is compatible with the representation functor which associates to any double Poisson (vertex) algebra and any positive integer a Poisson (vertex) algebra. We also consider related constructions, such as Poisson and Hamiltonian reductions. This allows us to provide various interesting examples of double Poisson vertex algebras, in particular from double quivers. This is a joint work with Tristan Bozec and Maxime Fairon.

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This talk is part of the activity of the MIUR Excellence Department Projects MathMod@TOV, and the PRIN 2022 Moduli Spaces and Birational Geometry