A generalised Poisson additivity

Vortrag von Dr. Ödül Tetik

Datum: 15.12.25  Zeit: 13.30 - 14.30  Raum: Y27H25

The Poisson additivity theorem of Rozenblyum–Safronov gives an equivalence between the category of n-disk algebras valued in 1-shifted Poisson algebras and the category of (1-n)-shifted Poisson algebras. Seeing this as a topological statement on a coordinate patch, I will discuss a generalisation of this theorem to a non-topological statement on arbitrary (but non-stratified) spacetimes, building on an approach due to Tamarkin. The key novel notion is that of a factorisation Lie algebra. This is joint work in preparation with Giovanni Canepa and Nils Carqueville.