Number Theory Seminar

Speaker: Vlere Mehmeti (University Paris-Saclay)

Title: A Hasse principle over non-Archimedean analytic curves

Abstract: I will be speaking of an application of non-Archimedean analytic geometry to questions related to the existence of rational points on varieties. More precisely, several local-global principles applicable to quadratic forms will be presented, all of them obtained by working over Berkovich analytic curves. The main tool I employ is an adaptation of the so called patching technique, which has lately become an important method for the study of such questions.


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