The Biggest Ideas in the Universe | 13. Geometry and Topology



Author: Sean Carroll

The Biggest Ideas in the Universe is a series of videos where I talk informally about some of the fundamental concepts that help us understand our natural world. Exceedingly casual, not overly polished, and meant for absolutely everybody.

This is Idea #13, “Geometry and Topology.” Yes that’s two ideas, and furthermore they’re from math more than from science, but we’ll put them to good use. In particular we look at Riemannian (non-Euclidean) geometry, and a kind of topological invariants called “homotopy groups.”

My web page: http://www.preposterousuniverse.com/

My YouTube channel: https://www.youtube.com/c/seancarroll

Mindscape podcast: http://www.preposterousuniverse.com/podcast

The Biggest Ideas playlist: https://www.youtube.com/playlist?list=PLrxfgDEc2NxZJcWcrxH3jyjUUrJlnoyzX

Blog posts for the series: http://www.preposterousuniverse.com/blog/category/biggest-ideas-in-the-universe/

Background image by RyoThorn at DeviantArt: https://www.deviantart.com/ryothorn/art/Steamworks-to-my-own-oblivion-147929840

#science #physics #ideas #universe #learning #cosmology #philosophy #math #geometry #topology

Video source Youtube

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