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Free algebras for free theories

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If you have a question about this talk, please contact Ariadne Si Suo .

Higher categories are often described as algebras for a monad in the category of presheaves over a direct category of shapes. In this talk, we will explore what are the generating data for such a monad and for their algebras. We will introduce a generalised notion of signature (a special type of GAT ) and we will describe inductively “computads” for such a signature as well as free algebras they generate.

This talk is part of the SANDWICH Seminar (Computer Laboratory) series.

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