I shall outline a new approach to the Composition-Diamond Lemma for rewriting systems/Gröbner-Shirshov bases; more specifically, I shall explain how the Maurer-Cartan equation in the tangent complex of a monomial algebra leads to many different versions of the Composition-Diamond Lemma, one for each representative of the tangent complex arising from a multigraded resolution of such algebra.
This is joint work with Pedro Tamaroff.
This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.
