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A conjecture on Brauer groups of K3 surfaces Varilly-Alvarado, Anthony

Description

Brauer groups of K3 surfaces behave in many ways like torsion points of elliptic curves. In 1996, Merel showed that torsion groups of elliptic curves are uniformly bounded across elliptic curves defined over number fields of fixed degree. I will discuss a conjecture pointing towards an analogous statement for K3 surfaces, and survey recent mounting evidence for it.

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Attribution-NonCommercial-NoDerivatives 4.0 International