Nima Arkani-Hamed - Combinatorics and Geometry of Fundamental Physics and Cosmology

That's fun. He doesn't mention it, but I think they're using Topos theory behind the scenes. If they're not then they probably should be! See Richard Southwell Being Norman Wildberger. On that early Universe/Scattering Amplitudes duality, see The Category Enriched over the Category of Finite Sets, The Finitely Triangulated Manifold and the Magnitude of a Finite Category.

See Another Two Talks on Cosmology and Clark Barwick on Factorisation Spaces and "doing physics" in Spec ℤ. 

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