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University of Sydney Algebra Seminar

JS Lemay

Friday 8 March, 12-1pm, Place: Carslaw 175

The Fundamental Theorems of Calculus and Zinbiel Algebras

In algebra, derivations and integrations generalize the differential operator and integral operator from calculus. On the other hand, Zinbiel algebras are a special kind of commutative non-unital associative algebras that capture the notion of riffle shuffle permutations. In this talk, I will explain how giving a Zinbiel algebra is equivalent to giving a derivation and integration which together satisfy the two fundamental theorems of calculus. This talk is based on my paper: https://arxiv.org/abs/2401.08223.