Number Theory Seminar - Efthymios Sofos

October 15, 2020
Monday, October 19, 2020 - 4:15pm to 5:15pm
Zoom (email the organizers for a link)
Number Theory Seminar

Title: Schinzel Hypothesis with probability 1 and rational points

Speaker: Efthymios Sofos - University of Glasgow 

Abstract: Joint work with Alexei Skorobogatov, preprint: https://arxiv.org/abs/2005.02998. Schinzel's Hypothesis states that every integer polynomial satisfying certain congruence conditions represents infinitely many primes. It is one of the main problems in analytic number theory but is completely open, except for polynomials of degree 1. We describe our recent proof of the Hypothesis for 100% of polynomials (ordered by size of coefficients). We use this to prove that, with positive probability, Brauer--Manin controls the Hasse principle for Châtelet surfaces. 

Seminar Link

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