Iterating the algebraic étale-Brauer set

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• Francesca Balestrieri (University of Oxford)
• Tuesday 16 May 2017, 14:30-15:30
• MR13.

If you have a question about this talk, please contact G. Rosso.

We iterate the algebraic étale-Brauer set of a nice variety X over a number field k and show that, when the geometric étale fundamental group of X is finite, the iteration doesn’t yield any new information. This result gives, among other things, evidence for the conjectures by Colliot-Thélène and Skorobogatov about the arithmetic behaviour of rational points on rationally connected varieties and K3 surfaces, and a partial answer to a question by Poonen on iterating the descent set.

This talk is part of the Number Theory Seminar series.

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