Will Sawin: The distribution of prime polynomials over finite fields (NTWS 047)
Channel: Number Theory Web Seminar
Date: 2023-08-06

Abstract: Many conjectures in number theory have analogues for polynomials in one variable over a finite field. In recent works with Mark Shusterman, we proved analogues of two conjectures about prime numbers - the twin primes conjecture and the conjecture that there are infinitely many primes of the form n²+1. I will describe these results and explain some of the key ideas in the proofs, which combine classical analytic methods, elementary algebraic manipulations, and geometric methods. 

Link to slides: https://drive.google.com/file/d/1NgAiS8jliXvrxjMILUGvgAT2LUKiAaVn

Number Theory Web Seminar: https://www.ntwebseminar.org

Original air date: 
Thursday, October 29, 2020 (9am PDT, 12pm EDT, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm IST)
Friday, October 30, 2020 (12am China Standard Time, 3am AEDT, 5am NZDT)