Schinzel's Hypothesis and applications to rational points

Efthymios Sofos (University of Glasgow)

Wednesday 16th February, 2022 16:00-17:00 Maths 110


In joint work with Alexei Skorobogatov we proved Schinzel's Hypothesis for 100% of cases and gave applications to the arithmetic of surfaces. Schinzel's Hypothesis gives necessary and sufficient assumptions for an integer polynomial to take infinitely many prime values when the variable ranges over all integers. It is only known for linear polynomials. I will explain Schinzel's Hypothesis, its history and briefly sketch the main ideas of the proof.  

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