The speaker is proposing an “accounting system” using polynomial functors and natural transformations to model dynamic interfaces and arrangements of systems. He claims this framework works well experimentally.
The framework uses polynomials to represent interfaces and natural transformations to represent arrangements. Operations on polynomials can generate new interfaces and arrangements.
The framework aims to provide a common language to describe and compare different systems, from cells to computers to living organisms.
The speaker claims the mathematical framework can model how wiring and arrangements of systems can change over time, which could help understand phenomena like morphogenesis.
The framework focuses more on structural questions rather than numerical details.
The speaker argues that the mathematical language of this framework is precise and articulate, though he does not provide concrete proofs.
The framework aims to provide “anatomical programming language” as a tool to model protein folding and how interactions affect organism positions.
The framework could potentially be useful for understanding morphology and behavior, though the speaker admits they lack concrete tools or programs currently.
The discussion highlights open questions around what controls arrangements of systems and how self-organization emerges.
The framework could potentially be applied to model interactions between neurons in cell cultures to gain insights into general laws of engagement.
The speaker is proposing an “accounting system” using polynomial functors and natural transformations to model dynamic interfaces and arrangements of systems. He claims this framework works well experimentally.
The framework uses polynomials to represent interfaces and natural transformations to represent arrangements. Operations on polynomials can generate new interfaces and arrangements.
The framework aims to provide a common language to describe and compare different systems, from cells to computers to living organisms.
The speaker claims the mathematical framework can model how wiring and arrangements of systems can change over time, which could help understand phenomena like morphogenesis.
The framework focuses more on structural questions rather than numerical details.
The speaker argues that the mathematical language of this framework is precise and articulate, though he does not provide concrete proofs.
The framework aims to provide “anatomical programming language” as a tool to model protein folding and how interactions affect organism positions.
The framework could potentially be useful for understanding morphology and behavior, though the speaker admits they lack concrete tools or programs currently.
The discussion highlights open questions around what controls arrangements of systems and how self-organization emerges.
The framework could potentially be applied to model interactions between neurons in cell cultures to gain insights into general laws of engagement.
https://www.youtube.com/watch?v=DpAi-rtnjTM