Date | Mar 26, 2024 |
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Speaker | 이민 |
Dept. | Univ. of Bristol |
Room | 129-301 |
Time | 15:30-16:30 |
In April 2022, He, Lee, Oliver and Pozdnyakov made an interesting discovery using machine learning – a surprising correlation between the root numbers of elliptic curves and the coefficients of their L-functions. They coined this correlation `murmurations of elliptic curves’. Naturally, one might wonder whether we can identify a common thread of `murmurations’ in other families of L-functions. In this talk, I will introduce joint works with Jonathan Bober, Andrew R. Booker, David Lowry-Duda, Andrei Seymour-Howell and Nina Zubrilina, demonstrating murmurations in holomorphic modular forms and Maass forms in archimedean families.