43. Vladimir Dotsenko: Diamond Lemma and the Maurer-Cartan equation - LieJor 04-Mar-2021

Описание к видео 43. Vladimir Dotsenko: Diamond Lemma and the Maurer-Cartan equation - LieJor 04-Mar-2021

Vladimir Dotsenko (Université de Strasbourg, France)
Diamond Lemma and the Maurer-Cartan equation
04-Mar-2020
LieJor Online Algebra Seminar

Abstract:
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.

https://www.ime.usp.br/~liejor
https://www.ime.usp.br/~oalg

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