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Presheaves seen as freely added colimits: an algorithmic approach

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If you have a question about this talk, please contact Nathanael Arkor.

To characterise the equivalence relation “having the same colimit” for diagrams in a small category ℂ, we saw, last time, a “big step” approach directly yielding the canonical colimit diagram acting as a representative of the equivalence class. In this (informal again) talk, independent of the previous ones, we will focus on a “small step” approach instead, by algorithmically computing the canonical colimit diagram, which will appear as a normal form for a certain abstract rewriting system (finally giving a hopefully satisfying intuition as to why presheaves over ℂ correspond to freely added colimits in ℂ).

This talk is part of the Logic & Semantics for Dummies series.

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