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Schinzel's Hypothesis with probability 1 and rational points on varieties in families

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Speaker: 
Efthymios Sofos
Affiliation: 
University of Glasgow/MPIM
Date: 
Wed, 19/04/2023 - 16:30 - 17:30
Location: 
MPIM Lecture Hall [2]
Parent event: 
Number theory lunch seminar [3]

We prove that Schinzel's Hypothesis (H) holds for 100% of polynomials of any fixed degree. I will discuss the proof of this result and also explain how to deduce from this the Hasse principle for certain surfaces.

Source URL: https://www.mpim-bonn.mpg.de/node/12023

Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/246