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Murmurations in arithmetic

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BLHW01 - Number theory, machine learning and quantum black holes

In this talk, I will describe a striking oscillation associated to arithmetic datasets. The phenomenon was first discovered for sets of elliptic curves over Q (which correspond to weight 2 modular forms) and has subsequently been observed for other automorphic representations. I will outline the data scientific perspective, and review the current conceptual understanding. This talk is based on joint work with He, Lee, Pozdnyakov, and Sutherland.

This talk is part of the Isaac Newton Institute Seminar Series series.

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