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Friday, November 5, 2021

**Abstract:** Super mathematics concerns the extension of commutative mathematics to include the anti-commutative setting. For example, a superalgebra, is a Z/2-graded algebra which decomposes into commutative and anti-commutative summands. Accordingly, supermanifolds are the corresponding Z/2-graded generalization of manifolds. In this talk, I will introduce supermanifolds from two perspectives: the concrete approach, which constructs supermanifolds out of charts to a superspace (as with ordinary manifolds), and the algebro-geometric approach which extends the sheaf of continuous functions on a manifold to the super setting.