Novikov algebras and multi-indices in regularity structures

Abstract: In this talk, we will present multi-Novikov algebras, a generalisation of Novikov algebras with several binary operations indexed by a given set, and show that the multi-indices recently introduced in the context of singular stochastic partial differential equations can be interpreted as free multi-Novikov algebras. This is parallel to the fact that decorated rooted trees arising in the context of regularity structures are related to free multi-pre-Lie algebras. This is a joint work with Vladimir Dotsenko.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar