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 workshop at ICERMLink opens in a new window on murmurations in arithmetic.
• This talkLink opens in a new window by Thomas Oliver.
• This talkLink opens in a new window (slidesLink opens in a new window) and another talkLink opens in a new window (lightning slidesLink opens in a new window) by Alexey Pozdnyakov.
• This talkLink opens in a new window by Peter Sarnak.
• This talkLink opens in a new window (slidesLink opens in a new window) and another talkLink opens in a new window (slidesLink opens in a new window) by Andrew Sutherland.
• This talkLink opens in a new window by Nina Zubrilina.