Norbert Schappacher (Strasbourg), Marie-Françoise Roy (Rennes)
Diego López (Uni Potsdam)
In this talk, we will present a locality version of two celebrated structural theorems of Hopf algebras and universal enveloping algebras, namely the Milnor-Moore theorem and the Poincaré-Birkhoff-Witt theorem. We will start with a gentle introduction to the algebraic formulation of the locality principle, including locality tensor products, locality algebras, locality coalgebras, among other concepts, together with some of their universal properties. We will continue with the statement of the theorems and if time allows it, we will look into some of its consequences.
This is part of my PhD thesis and partially based on joint work with P. Clavier, L. Foissy and S. Paycha.
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