Around 1970, torsion points on elliptic curves were studied by using therelation between topological and algebraic structures of their modulispaces, spaces which parametrize elliptic curves together with torsionpoints. In this project, we replace elliptic curves with K3 surfaces,which can be considered higher-dimensional analogues of elliptic curves.The torsion points are replaced by the torsion part of the Brauer groupof the K3 surface, a group which plays an important role in the study ofrational points. This is joint work in progress with A. Várilly-Alvaradoand D. <a href="http://Bragg.

https://indico.math.cnrs.fr/event/13102/ » target= »_blank » title= »Bragg.

https://indico.math.cnrs.fr/event/13102/ »>Bragg.

https://indico.math.cnrs.fr/event/13102/