2023-02-03: Jules Hedges (MSP)

Sat, 21 Oct 2023 21:24:08 +0100

Jules Hedges (MSP)

Contexts and emergent effects in categorical systems theory

Abstract

One of the most exciting ideas in categorical systems theory is being able to give a clean definition to “emergent effects”, namely failure of a lax functor to be a functor. But there is a lack of theoretical tools to do useful things after identifying this common situation. I will present work in progress towards a “theory of contexts”, talking formally about the idea that an open system’s behaviour can depend on what other systems are nearby, by isolating 1 of the 3 key theoretical ingredients of open games. This hopefully allows situations with emergent effects to be seen as an ordinary functor, although working out examples is irritatingly difficult.

2023-02-03 15:00:00 UTC
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