...Under construction...
This section contains material, mainly handwritten notes, of talks I've given in different occasions and places. The content is essentially well known and I don't claim any originality about it, except for the mistakes I might have introduced. If you find a mistake don't hesitate to contact me.
On the relation between Brauer groups and Shafarevich-Tate groups. These are the notes for a talk given at the Forschungseminar at the university of Duisburg-Essen in the summer semester 2016-2017. The seminar was about the BSD and Modularity conjectures for elliptic curves over function fields.