Digression: The cotangent complex and obstruction theory

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We study the cotangent complex more in depth and explain its relation to obstruction theory. As an example we construct the Witt vectors of a perfect ring. This video is a slight digression from the rest of the lecture course and could be skipped.

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6:18 Do you mean that every commutative ring R can be written as the colimit of a simplicial diagram of polynomial rings? (This could be take to be the simplicial resolution of R?) Could you explain how to realize this? The polynomial rings could involve infinitely many variables, right?

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