From module- to algebra resolutions: an explicit construction using decorated trees

par Aliaksandr Hancharuk (ICJ Lyon)

vendredi 6 mai 2022, 14:00 → 15:00 Europe/Paris

Salle 112 (Braconnier)

We provide an explicit algebra resolution of a quotient algebra O/I out of the free resolution of O/I by free O-modules. This will be done in terms of decorated planar trees. The construction has a further development in the context of BV-BRST formalism when O is a Poisson algebra and I is a Poisson ideal. This is a report on a joint work in progress with C. Laurent-Gengoux and T. Strobl.