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The Hasse Principle for surfaces and counting

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Nick Rome
Univ. Bristol / MPIM
Wed, 2018-09-12 16:30 - 17:30
MPIM Lecture Hall

Establishing local-global principles, such as the Hasse principle, is an essential tool for the study of Diophantine equations and studying the
distribution of rational points on surfaces. The family of Chatelet surfaces has long been known to include counterexamples to the Hasse principle. 

In this talk, we will investigate the frequency of such counterexamples in a family of surfaces parametrised by points on a quadric.
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