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
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:
Sarah Peluse, Divisibility of character values of the symmetric group
(Institute for Advanced Study and Princeton University)
(Institute for Advanced Study and Princeton University)
Thursday, February 9, 2023 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, February 10, 2023 (12am CST, 3am AEDT, 5am NZDT)
Friday, February 10, 2023 (12am CST, 3am AEDT, 5am NZDT)
Abstract: In 2017, Miller computed the character tables of $S_n$ for all $n$ up to $38$ and looked at various statistical properties of the entries. Characters of symmetric groups take only integer values, and, based on his computations, Miller conjectured that almost all entries of the character table of $S_n$ are divisible by any fixed prime power as $n$ tends to infinity. In this talk, I will discuss joint work with K. Soundararajan that resolves this conjecture, and mention some related open problems.
Upcoming talks:
Wanlin Li, Ordinary and Basic Reductions of Abelian Varieties
(Université de Montréal)
(Université de Montréal)
Thursday, February 16, 2023 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, February 17, 2023 (12am CST, 3am AEDT, 5am NZDT)
Friday, February 17, 2023 (12am CST, 3am AEDT, 5am NZDT)
Abstract: Given an abelian variety A defined over a number field, a conjecture attributed to Serre states that the set of primes at which A admits ordinary reduction is of positive density. This conjecture had been proved for elliptic curves (Serre, 1977), abelian surfaces (Katz 1982, Sawin 2016) and certain higher dimensional abelian varieties (Pink 1983, Fite 2021, etc).
In this talk, we will discuss ideas behind these results and recent progress for abelian varieties with non-trivial endomorphisms, including some cases of A with almost complex multiplication by an abelian CM field, based on joint work with Cantoral-Farfan, Mantovan, Pries, and Tang.
Apart from ordinary reduction, we will also discuss the set of primes at which an abelian variety admits basic reduction, generalizing a result of Elkies on the infinitude of supersingular primes for elliptic curves. This is joint work with Mantovan, Pries, and Tang.
Terence Tao, Infinite Partial Sumsets in the Primes
(UCLA)
(UCLA)
Thursday, February 23, 2023 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, February 24, 2023 (12am CST, 3am AEDT, 5am NZDT)
Friday, February 24, 2023 (12am CST, 3am AEDT, 5am NZDT)
Abstract: It is an open question as to whether the prime numbers contain the sum A+B of two infinite sets of natural numbers A, B (although results of this type are known assuming the Hardy-Littlewood prime tuples conjecture). Using the Maynard sieve and the Bergelson intersectivity lemma, we show the weaker result that there exist two infinite sequences a_1 < a_2 < ... and b_1 < b_2 < ... such that a_i + b_j is prime for all i<j. Equivalently, the primes are not "translation-finite" in the sense of Ruppert. As an application of these methods we show that the orbit closure of the primes is uncountable.
Alexandra Shlapentokh, TBA
(East Carolina University)
(East Carolina University)
Thursday, March 2, 2023 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, March 3, 2023 (12am CST, 3am AEDT, 5am NZDT)
Friday, March 3, 2023 (12am CST, 3am AEDT, 5am NZDT)
Abstract: TBA
Alex Wilkie, TBA
(University of Oxford and University of Manchester)
(University of Oxford and University of Manchester)
Thursday, March 9, 2023 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, March 10, 2023 (12am CST, 3am AEDT, 5am NZDT)
Friday, March 10, 2023 (12am CST, 3am AEDT, 5am NZDT)
Abstract: TBA
Florian Luca, TBA
(University of the Witwatersrand)
(University of the Witwatersrand)
Thursday, March 16, 2023 (9am PDT, 12pm EDT, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, March 17, 2023 (12am CST, 3am AEDT, 5am NZDT)
Friday, March 17, 2023 (12am CST, 3am AEDT, 5am NZDT)
Abstract: TBA
Ofir Gorodetsky, TBA
(University of Oxford)
(University of Oxford)
Thursday, March 23, 2023 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, March 24, 2023 (12am CST, 3am AEDT, 5am NZDT)
Friday, March 24, 2023 (12am CST, 3am AEDT, 5am NZDT)
Abstract: TBA
Ziyang Gao, TBA
(Leibniz University Hannover)
(Leibniz University Hannover)
Thursday, March 30, 2023 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 8:30pm Indian Standard Time, 11pm CST)
Friday, March 31, 2023 (2am AEDT, 4am NZDT)
Friday, March 31, 2023 (2am AEDT, 4am NZDT)
Abstract: TBA
Kannan Soundararajan, TBA
(Stanford University)
(Stanford University)
Thursday, April 6, 2023 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 8:30pm Indian Standard Time, 11pm CST)
Friday, April 7, 2023 (1am AEST, 3am NZST)
Friday, April 7, 2023 (1am AEST, 3am NZST)
Abstract: TBA
Hélène Esnault, TBA
(Freie Universität Berlin)
(Freie Universität Berlin)
Thursday, April 13, 2023 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 8:30pm Indian Standard Time, 11pm CST)
Friday, April 14, 2023 (1am AEST, 3am NZST)
Friday, April 14, 2023 (1am AEST, 3am NZST)
Abstract: TBA
Bjorn Poonen, TBA
(MIT)
(MIT)
Thursday, April 20, 2023 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 8:30pm Indian Standard Time, 11pm CST)
Friday, April 21, 2023 (1am AEST, 3am NZST)
Friday, April 21, 2023 (1am AEST, 3am NZST)
Abstract: TBA
Pierre Le Boudec, TBA
(University of Basel)
(University of Basel)
Thursday, April 27, 2023 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 8:30pm Indian Standard Time, 11pm CST)
Friday, April 28, 2023 (1am AEST, 3am NZST)
Friday, April 28, 2023 (1am AEST, 3am NZST)
Abstract: TBA
Peter Koymans, TBA
(University of Michigan)
(University of Michigan)
Thursday, May 4, 2023 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 8:30pm Indian Standard Time, 11pm CST)
Friday, May 5, 2023 (1am AEST, 3am NZST)
Friday, May 5, 2023 (1am AEST, 3am NZST)
Abstract: TBA
Ben Green, TBA
(University of Oxford)
(University of Oxford)
Thursday, May 11, 2023 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 8:30pm Indian Standard Time, 11pm CST)
Friday, May 12, 2023 (1am AEST, 3am NZST)
Friday, May 12, 2023 (1am AEST, 3am NZST)
Abstract: TBA
Mark Shusterman, TBA
(Harvard University)
(Harvard University)
Thursday, May 18, 2023 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 8:30pm Indian Standard Time, 11pm CST)
Friday, May 19, 2023 (1am AEST, 3am NZST)
Friday, May 19, 2023 (1am AEST, 3am NZST)
Abstract: TBA
Barak Weiss, TBA
(Tel Aviv University)
(Tel Aviv University)
Thursday, May 25, 2023 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 8:30pm Indian Standard Time, 11pm CST)
Friday, May 26, 2023 (1am AEST, 3am NZST)
Friday, May 26, 2023 (1am AEST, 3am NZST)
Abstract: TBA
Lior Bary-Soroker, TBA
(Tel Aviv University)
(Tel Aviv University)
Thursday, June 1, 2023 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 8:30pm Indian Standard Time, 11pm CST)
Friday, June 2, 2023 (1am AEST, 3am NZST)
Friday, June 2, 2023 (1am AEST, 3am NZST)
Abstract: TBA
Sponsors:
We gratefully acknowledge the generous support of:
University of Basel (financial support, zoom licence)
Max Planck Institute for Mathematics (zoom licence, 2020)
University of New South Wales (zoom licence)