Information, Geometry, and Physics Seminar

Emergent effects of complex systems is commonly understood as novel properties, patterns, or behaviors of systems that are not present in their components, sometimes expressed as "the whole is more than the sum of its parts". I will discuss a framework based on (Adam, 2017) (link: https://elieadam.com/eadam_PhDThesis.pdf) that gives a measure of emergent effect as the "loss of exactness" computed from local structures, through category theory, homological algebra and quiver representations, and show that the derived functor that encodes emergent effects is related to information loss. I will also discuss potential connections to biological neural networks and renormalization groups.