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Murmurations study group

This is the webpage for the Number Theory study group on Murmurations in Arithmetic for Term 2 2023/24, organised by Sam Chow, Simon Rydin Myerson, and Robin Visser. Feel free to contact us if you have any questions or would like to offer to give a talk!

When and where: Fridays 1-2pm in B3.03 (and onlineLink opens in a new window on MS Teams).

Date Talk Speaker References
19 Jan Introduction (slides) Robin Visser (see slides)
26 Jan Murmurations of elliptic curves (slides) Martin Lotz He–Lee–Oliver–PozdnyakovLink opens in a new window
02 Feb Distribution of Frobenius traces (notes) Arshay Sheth SutherlandLink opens in a new window, SarnakLink opens in a new window
09 Feb Murmurations of Dirichlet characters I (notes) Khalid Younis Lee–Oliver–PozdnyakovLink opens in a new window
16 Feb Murmurations of Dirichlet characters II (notes) Philip Holdridge Lee–Oliver–Pozdnyakov
23 Feb Murmurations of newforms I (notes) Maryam Nowroozi ZubrilinaLink opens in a new window
01 Mar Murmurations of newforms II (notes) Sam Chow Zubrilina
08 Mar Murmurations of newforms III (notes) Nuno Arala Zubrilina
15 Mar Murmurations in the weight aspect (slides) Simon Rydin Myerson Bober–Booker–Lee–Lowry-DudaLink opens in a new window

Usual disclaimer: All typos/errors in the above notes are the fault of the transcriber!

Some further useful resources:

A murmuration of starlings at Gretna

A murmuration of starlings at Gretna - cc-by-sa/2.0 - © Walter Baxter - geograph.org.uk/p/2687912