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Algebra Morphism Coherence

The Golden Hourglass by Craig Schaffer
April 2, 2024
1:50PM - 3:00PM
MW 154

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Add to Calendar 2024-04-02 13:50:00 2024-04-02 15:00:00 Algebra Morphism Coherence Title:  Algebra Morphism CoherenceSpeaker:  Niles Johnson (The Ohio State University - Newark Campus)Speaker's URL:  https://nilesjohnson.net/Abstract:  This talk introduces coherence results for structure-preserving functors, based on joint work with Nick Gurski. We begin with motivating examples for braided and symmetric monoidal functors. We then explain the coherence theorems for monoidal categories (plain, braided, and symmetric) as characterizations of free algebras over 2-monads. Our coherence for algebra morphisms uses this same approach, via a theory of *universal pseudomorphisms*.URL associated with Seminar:  https://www.asc.ohio-state.edu/math/vqss/ MW 154 Department of Mathematics math@osu.edu America/New_York public

Title:  Algebra Morphism Coherence

Speaker:  Niles Johnson (The Ohio State University - Newark Campus)

Speaker's URL:  https://nilesjohnson.net/

Abstract:  This talk introduces coherence results for structure-preserving functors, based on joint work with Nick Gurski. We begin with motivating examples for braided and symmetric monoidal functors. We then explain the coherence theorems for monoidal categories (plain, braided, and symmetric) as characterizations of free algebras over 2-monads. Our coherence for algebra morphisms uses this same approach, via a theory of *universal pseudomorphisms*.

URL associated with Seminar:  https://www.asc.ohio-state.edu/math/vqss/

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