Introduction to \infty-categories (re-uploaded so that one can see more than 1/4 of the screen)

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In this talk, I begin by motivating the notion of (\infty, 1)-categories using the fundamental \infty-groupoid. Then, I carry out the plan, using simplicial sets and horn extension properties to define \infty-categories. Afterwards, I talk about homotopies in \infty-categories and give an incredibly brief overview of a couple of topics which could come after seeing some \infty-categories (higher algebra and Goodwillie calculus). Enjoy!

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Wow! Another fantastic lecture, well done Gregor👏👏👏

lovemaths
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Hey your videos made me feel motivated about math again! Thanks for that!

Salmanul_
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ig a bagel is the next best thing after a doughnut

OtiumAbscondita
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Hello there, remember me? I am back with videos :D Nice video btw :)

circlesofMATH