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2024 Clay Research Conference. Here I show how to use the Borsuk-Ulam theorem to find a graph with no short odd cycles but with very high chromatic number, ... This is an introduction to the concept of entropy (in the information-theoretic sense of the word). In the next few videos I shall say ... The permanent of a square matrix is like the determinant except that you don't multiply by the signs of the permutations. Since the ...

In the previous video (https://www.youtube.com/watch?v=maITMAi4xNw) I formulated the cap-set problem and proved a lemma ...

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