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:
Michael Bennett (University of British Columbia)
Philipp Habegger (University of Basel)
Alina Ostafe (UNSW Sydney)
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:
Each talk has a unique Zoom meeting-ID that all registered participants receive by email before the talk. You will receive this email from organizers@ntwebseminar.org. Never publicly share this ID or the password.
If you did not received an invitation one hour before the talk please check your spam folder. If you cannot find the email there please contact ntweb.seminar@gmail.com.
Some mail servers are blocking our domain. Registered participants can click here to get the link to the next talk.
To unsubscribe from the mailing list please follow the link at the bottom of the invitation email.
Participant's audio is muted by default. You can unmute to ask questions.
You can ask questions in the chat window or by unmuting the microphone and asking them directly.
Next talk:
Julia Stadlmann, Primes in arithmetic progressions to smooth moduli
(Stanford University)
(Stanford University)
Thursday, January 16, 2025 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, January 17, 2025 (12am CST, 3am AEDT, 5am NZDT)
Friday, January 17, 2025 (12am CST, 3am AEDT, 5am NZDT)
Abstract: For large x and coprime a and q, the arithmetic progression n = a mod q contains approximately pi(x)/phi(q) primes up to x. For which moduli q can we prove that this approximation has small error terms? In this talk, I will focus on results for smooth moduli, which were a key ingredient in Zhang's proof of bounded gaps between primes and later improvements of Polymath. Following arguments of the Polymath project, I will sketch how better equidistribution estimates for primes in APs are linked to stronger bounds on the infimum limit of gaps between m consecutive primes. I will then show how a refinement of the q-van der Corput method can be used to improve on Polymath's equidistribution estimates and thus to obtain better bounds on short gaps between 3 or more primes.
Upcoming talks:
Katherine E. Stange, The local-global conjecture for Apollonian circle packings is false
(University of Colorado, Boulder)
(University of Colorado, Boulder)
Thursday, January 23, 2025 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, January 24, 2025 (12am CST, 3am AEDT, 5am NZDT)
Friday, January 24, 2025 (12am CST, 3am AEDT, 5am NZDT)
Abstract: Primitive integral Apollonian circle packings are fractal arrangements of tangent circles with integer curvatures. The curvatures form an orbit of a 'thin group', a subgroup of an algebraic group having infinite index in its Zariski closure. The curvatures that appear must fall into a restricted class of residues modulo 24. The twenty-year-old local-global conjecture states that every sufficiently large integer in one of these residue classes will appear as a curvature in the packing. We prove that this conjecture is false for many packings, by proving that certain quadratic and quartic families are missed. The new obstructions are a property of the thin Apollonian group (and not its Zariski closure), and are a result of quadratic and quartic reciprocity, reminiscent of a Brauer-Manin obstruction. Based on computational evidence, we formulate a new conjecture. This is joint work with Summer Haag, Clyde Kertzer, and James Rickards. Time permitting, I will discuss some new results, joint with Rickards, that extend these phenomena to certain settings in the study of continued fractions.
Hector Pasten, TBA
(Pontificia Universidad Católica de Chile)
(Pontificia Universidad Católica de Chile)
Thursday, January 30, 2025 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, January 31, 2025 (12am CST, 3am AEDT, 5am NZDT)
Friday, January 31, 2025 (12am CST, 3am AEDT, 5am NZDT)
Abstract: TBA
Alex Kontorovich, TBA
(Rutgers University)
(Rutgers University)
Thursday, February 6, 2025 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, February 7, 2025 (12am CST, 3am AEDT, 5am NZDT)
Friday, February 7, 2025 (12am CST, 3am AEDT, 5am NZDT)
Abstract: TBA
Emmanuel Ullmo, TBA
(IHES)
(IHES)
Thursday, February 13, 2025 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, February 14, 2025 (12am CST, 3am AEDT, 5am NZDT)
Friday, February 14, 2025 (12am CST, 3am AEDT, 5am NZDT)
Abstract: TBA
Valérie Berthé, TBA
(IRIF, Université Paris Cité)
(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)
Friday, February 21, 2025 (12am CST, 3am AEDT, 5am NZDT)
Abstract: TBA
Shaoshi Chen, TBA
(Academy of Mathematics and Systems Science, Chinese Academy of Sciences)
(Academy of Mathematics and Systems Science, Chinese Academy of Sciences)
Thursday, February 27, 2025 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, February 28, 2025 (12am CST, 3am AEDT, 5am NZDT)
Friday, February 28, 2025 (12am CST, 3am AEDT, 5am NZDT)
Abstract: TBA
Péter Varjú, TBA
(University of Cambridge)
(University of Cambridge)
Thursday, March 6, 2025 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, March 7, 2025 (12am CST, 3am AEDT, 5am NZDT)
Friday, March 7, 2025 (12am CST, 3am AEDT, 5am NZDT)
Abstract: TBA
Florian Karl Richter, TBA
(EPFL)
(EPFL)
Thursday, March 13, 2025 (9am PDT, 12pm EDT, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, March 14, 2025 (12am CST, 3am AEDT, 5am NZDT)
Friday, March 14, 2025 (12am CST, 3am AEDT, 5am NZDT)
Abstract: TBA
Gergely Harcos, TBA
(Alfréd Rényi Institute of Mathematics)
(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, March 21, 2025 (12am CST, 3am AEDT, 5am NZDT)
Friday, March 21, 2025 (12am CST, 3am AEDT, 5am NZDT)
Abstract: TBA
Andreas Strömbergsson, TBA
(Uppsala University)
(Uppsala University)
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)
Abstract: TBA
Stephanie Chan, TBA
(IST Austria)
(IST Austria)
Thursday, April 3, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, April 4, 2025 (2am AEDT, 4am NZDT)
Friday, April 4, 2025 (2am AEDT, 4am NZDT)
Abstract: TBA
Mayank Pandey, TBA
(Princeton University)
(Princeton University)
Thursday, April 10, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, April 11, 2025 (1am AEST, 3am NZST)
Friday, April 11, 2025 (1am AEST, 3am NZST)
Abstract: TBA
Dimitris Koukoulopoulos, TBA
(University of Montreal)
(University of Montreal)
Thursday, April 17, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, April 18, 2025 (1am AEST, 3am NZST)
Friday, April 18, 2025 (1am AEST, 3am NZST)
Abstract: TBA
Matthew de Courcy-Ireland, TBA
(Stockholm University)
(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)
Friday, April 25, 2025 (1am AEST, 3am NZST)
Abstract: TBA
Vivian Kuperberg, TBA
(ETH Zürich)
(ETH Zürich)
Thursday, May 1, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, May 2, 2025 (1am AEST, 3am NZST)
Friday, May 2, 2025 (1am AEST, 3am NZST)
Abstract: TBA
Martin Widmer, TBA
(Royal Holloway, University of London)
(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)
Friday, May 9, 2025 (1am AEST, 3am NZST)
Abstract: TBA
Peter Koymans, TBA
(Utrecht University)
(Utrecht University)
Thursday, May 15, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, May 16, 2025 (1am AEST, 3am NZST)
Friday, May 16, 2025 (1am AEST, 3am NZST)
Abstract: TBA
Carlo Pagano, TBA
(Concordia University)
(Concordia University)
Thursday, May 22, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, May 23, 2025 (1am AEST, 3am NZST)
Friday, May 23, 2025 (1am AEST, 3am NZST)
Abstract: TBA
Will Sawin, TBA
(Princeton University)
(Princeton University)
Thursday, June 5, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, June 6, 2025 (1am AEST, 3am NZST)
Friday, June 6, 2025 (1am AEST, 3am NZST)
Abstract: TBA
Jan Hendrik Bruinier, TBA
(TU Darmstadt)
(TU Darmstadt)
Thursday, June 26, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, June 27, 2025 (1am AEST, 3am NZST)
Friday, June 27, 2025 (1am AEST, 3am NZST)
Abstract: TBA
Sponsors:
We gratefully acknowledge the generous support of:
University of Basel (financial support, zoom licence)
University of New South Wales (financial support, zoom licence)
Max Planck Institute for Mathematics (zoom licence, 2020)