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