Murmurations study group
This was the webpage for the number theory study group on Murmurations in Arithmetic, run in Term 2 of 2023/24 at Warwick and organised by Sam Chow, Simon Rydin Myerson and Robin Visser. It met on Fridays, 1–2pm, in B3.03 and on MS Teams.
Programme
| Date | Talk | Speaker | References |
|---|---|---|---|
| 19 Jan | Introduction (slides) | Robin Visser | see slides |
| 26 Jan | Murmurations of elliptic curves (slides) | Martin Lotz | He–Lee–Oliver–Pozdnyakov |
| 2 Feb | Distribution of Frobenius traces (notes) | Arshay Sheth | Sutherland, Sarnak |
| 9 Feb | Murmurations of Dirichlet characters I (notes) | Khalid Younis | Lee–Oliver–Pozdnyakov |
| 16 Feb | Murmurations of Dirichlet characters II (notes) | Philip Holdridge | Lee–Oliver–Pozdnyakov |
| 23 Feb | Murmurations of newforms I (notes) | Maryam Nowroozi | Zubrilina |
| 1 Mar | Murmurations of newforms II (notes) | Sam Chow | Zubrilina |
| 8 Mar | Murmurations of newforms III (notes) | Nuno Arala | Zubrilina |
| 15 Mar | Murmurations in the weight aspect (slides) | Simon Rydin Myerson | Bober–Booker–Lee–Lowry-Duda |
Usual disclaimer: all typos and errors in the above notes are the fault of the transcriber.
Further resources
- A workshop at ICERM on murmurations in arithmetic.
- A talk by Thomas Oliver.
- A talk (slides) and another (lightning slides) by Alexey Pozdnyakov.
- A talk by Peter Sarnak.
- A talk (slides) and another (slides) by Andrew Sutherland.
- A talk by Nina Zubrilina.
