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In this talk, I will discuss the relation of span categories to various versions of the symplectic category. I will then expose the connection between simplicial objects and algebras in span categories, focusing on the $1$- and $2$-categorical cases to explicate the underlying intuitions. Finally, I will discuss recent work (joint with Ivan Contreras and Rajan Mehta) generalizing this correspondence to algebras with further structure, that is, to commutative and Frobenius algebras.

Zoom uygulaması Bilim Akademisi tarafından sağlanmaktadır./Zoom link is provided by The Science Academy.