Number Theory Web Seminar

This number theory seminar is purely online. Our talks come from various corners of the field and of the world. They are streamed live on Zoom.

Organizers:


There are no fees, but registration is necessary. To register please follow this link.

Registered users will receive an email a few hours before the talk with a link to the Zoom meeting. 

The seminar runs every Thursday. Please note the usual times of the seminar below and in the FAQ Section. 

Talks are usually 50 minutes and then time for some questions.

Contact: ntweb.seminar@gmail.com

YouTube Channel: https://www.youtube.com/@numbertheorywebseminar 

Please consider the following:

Next talk:



Niclas Technau, Smooth discrepancy and Littlewood’s conjecture
(University of Bonn)

Thursday, October 24, 2024 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm Israel Daylight Time, 8:30pm Indian Standard Time, 11pm CST)
Friday, October 24, 2024 (2am AEDT, 4am NZDT)

Abstract: Let \boldsymbol \alpha \in [0,1]^d. This talk concerns fine-scale statistics of the Kronecker sequences (n \boldsymbol \alpha \: \mathrm{mod} \: 1)_{n=1}^\infty. Reporting on joint work with Sam Chow, I will discuss a local-to-global principle. The principle relates the smooth discrepancy (a global, analytic quantity) of Kronecker sequences to their multiplicative diophantine approximability (a local, arithmetic property). This opens up a new avenue of attack for a conjecture of Littlewood.

Upcoming talks:

Manfred Einsiedler, TBA
(ETH Zürich)

Thursday, October 31, 2024 (9am PDT, 12pm EDT, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, November 1, 2024 (12am CST, 3am AEDT, 5am NZDT)

Abstract: TBA


Dubi Kelmer, TBA
(Boston College)

Thursday, November 7, 2024 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 8:30pm Indian Standard Time)
Friday, November 8, 2024 (12am CST, 3am AEDT, 5am NZDT)

Abstract: TBA


Anders Södergren, TBA
(Chalmers University of Technology)

Thursday, November 14, 2024 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 8:30pm Indian Standard Time)
Friday, November 15, 2024 (12am CST, 3am AEDT, 5am NZDT)

Abstract: TBA


Martin Orr, TBA
(University of Manchester)

Thursday, November 21, 2024 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 8:30pm Indian Standard Time)
Friday, November 22, 2024 (12am CST, 3am AEDT, 5am NZDT)

Abstract: TBA


Julian Demeio, TBA
(University of Bath)

Thursday, November 28, 2024 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 8:30pm Indian Standard Time)
Friday, November 29, 2024 (12am CST, 3am AEDT, 5am NZDT)

Abstract: TBA


Asif Zaman, TBA
(University of Toronto)

Thursday, December 5, 2024 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 8:30pm Indian Standard Time)
Friday, December 6, 2024 (12am CST, 3am AEDT, 5am NZDT)

Abstract: TBA


Katharine Woo, TBA
(Princeton University)

Thursday, December 12, 2024 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 8:30pm Indian Standard Time)
Friday, December 13, 2024 (12am CST, 3am AEDT, 5am NZDT)

Abstract: TBA


David Zureick-Brown, ell-adic Images of Galois for Elliptic Curves over Q
(Amherst College)

Thursday, December 19, 2024 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 8:30pm Indian Standard Time)
Friday, December 20, 2024 (12am CST, 3am AEDT, 5am NZDT)

Abstract: I will discuss recent joint work with Jeremy Rouse and Drew Sutherland on Mazur’s “Program B” — the classification of the possible “images of Galois” associated to an elliptic curve (equivalently, classification of all rational points on certain modular curves XH). The main result is a provisional classification of the possible images of l-adic Galois representations associated to elliptic curves over Q and is provably complete barring the existence of unexpected rational points on modular curves associated to the normalizers of non-split Cartan subgroups and two additional genus 9 modular curves of level 49.

I will also discuss the framework and various applications (for example: a very fast algorithm to rigorously compute the l-adic image of Galois of an elliptic curve over Q), and then highlight several new ideas from the joint work, including techniques for computing models of modular curves and novel arguments to determine their rational points, a computational approach that works directly with moduli and bypasses defining equations, and (with John Voight) a generalization of Kolyvagin’s theorem to the modular curves we study.


Katherine E. Stange, TBA
(University of Colorado, Boulder) 

Thursday, January 23, 2025 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 8:30pm Indian Standard Time)
Friday, January 24, 2025 (12am CST, 3am AEDT, 5am NZDT)

Abstract: TBA

Valérie Berthé, TBA
(IRIF, Université Paris Cité) 

Thursday, February 20, 2025 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, February 21, 2025 (12am CST, 3am AEDT, 5am NZDT)

Abstract: TBA


Gergely Harcos, TBA
(Alfréd Rényi Institute of Mathematics) 

Thursday, March 20, 2025 (9am PDT, 12pm EDT, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, March21, 2025 (12am CST, 3am AEDT, 5am NZDT)

Abstract: TBA

Andreas Strömbergsson, TBA
(Uppsala University) 

Abstract: TBA

Thursday, March 27, 2025 (9am PDT, 12pm EDT, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)

Friday, March 28, 2025 (12am CST, 3am AEDT, 5am NZDT)

Matthew de Courcy-Ireland, TBA
(Stockholm University)

Thursday, April 24, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, April 25, 2025 (1am AEST, 3am NZST)

Abstract: TBA


Martin Widmer, TBA
(Royal Holloway, University of London)

Thursday, May 8, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, May 9, 2025 (1am AEST, 3am NZST)

Abstract: TBA

Sponsors:

We gratefully acknowledge the generous support of: