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Strong approximation and a conjecture of Harpaz and Wittenberg

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If you have a question about this talk, please contact Jack Thorne .

I will discuss strong approximation for algebraic varieties over the rational numbers, before focusing on a special family of varieties defined by norm forms which can be analysed using methods from analytic number theory. This permits the verification of (a special case of) a recent conjecture due to Harpaz and Wittenberg with consequences for the study rational points on fibrations. This is joint work with Damaris Schindler.

This talk is part of the Number Theory Seminar series.

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The University Arms Hotel, Cambridge SW01, Computer Laboratory Anglia Ruskin University, East Road, Cambridge CB1 1PT (Lecture Theatre: Lord Ashcroft LAB002)

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