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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture covers the integral Hasse principle for locally representable integers by quadratic lattices, the concept of locally isometric lattices, and the Hasse-Minkowski theorem. It also discusses the Hermite-Minkowski theorem, equidistribution in the genus, and the local-global principle for lattices. The lecture concludes with the ring of adèles of Q, the ring of finite adèles, and the possible completions of Q indexed by the King of Adeles.