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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 on MS Teams).

Date Talk Speaker References
19 Jan Introduction (slides) Robin Visser (see slides)
26 Jan Murmurations of elliptic curves (slides) Martin Lotz
02 Feb Distribution of Frobenius traces (notes) Arshay Sheth ,
09 Feb Murmurations of Dirichlet characters I (notes) Khalid Younis
16 Feb Murmurations of Dirichlet characters II (notes) Philip Holdridge 尝别别鈥揙濒颈惫别谤鈥扬辞锄诲苍测补办辞惫
23 Feb Murmurations of newforms I (notes) Maryam Nowroozi
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

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

Some further useful resources:

  • on murmurations in arithmetic.
  • by Thomas Oliver.
  • () and () by Alexey Pozdnyakov.
  • by Peter Sarnak.
  • () and () by Andrew Sutherland.
  • by Nina Zubrilina.
A murmuration of starlings at Gretna

A murmuration of starlings at Gretna - - 漏 -

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