01:10:19
publiée le 5 novembre 2025
Geometric Aspects of the $p$-adic Locally Analytic Langlands Correspondence IV
De Arthur-César Le Bras
A Hasse principle over Berkovich analytic curves
Apparaît dans la collection : Model theory of valued fields / Théorie des modèles des corps valués
I will be speaking of an application of Berkovich spaces 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.
