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Explore the fascinating world of number theory in this lecture by renowned mathematician Terence Tao from UCLA. Delve into the Liouville pseudorandomness principle and its relationship to the Mobius pseudorandomness principle. Examine the behavior of the Liouville function λ(n) and its statistical similarities to random functions. Investigate various formalizations of this principle, including the Chowla conjecture, Sarnak conjecture, local uniformity conjecture, and the Riemann hypothesis. Gain insights into recent advancements and progress made on these conjectures in this comprehensive one-hour talk presented at the Hausdorff Center for Mathematics.
