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Number Theory Seminar - Efthymios Sofos

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

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. 

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