BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

Additivity theorem for Poisson algebras Safronov, Pavel


The Dunn--Lurie additivity theorem states that an algebra with $n$ compatible multiplications is the same as an algebra over the operad of little $n$-disks, i.e. an $E_n$-algebra. I will describe a similar statement for shifted Poisson algebras. Namely, an $E_n$-algebra in the category of $m$-shifted Poisson algebras is the same as an $(n+m)$-shifted Poisson algebra. I will explain motivitations for such a result coming from mathematical physics and derived Poisson geometry.

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International