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The K THEORY of the PROJECTIVE UNITARY GROUPS Let U Ams  Form

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I like to save right off the bat if you're not totally familiar with all of the terms in this title and the words I'm about to say that's okay I will explain most of them although it is advised you have some familiarity with related Concepts so the purpose of this video is to discuss uh the equivalence of categories between representations of the fundamental group of a space and the local systems on that space and then to talk about a version of this of an equivariant fundamental group for the atal fundamental group of of an algebraic variety um but I'm not going to go into detailed proofs in this video I just want to give a sort of impression I just sort of want to explain like how it is they are connected and gives more of an overall bird's eye view of of this topic which I think is just a really neat uh way of relating different Concepts to each other so to begin with I'm just going to remind you quickly that the if we have some sufficiently nice topological space okay if you go loo

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