I would like to know if Grothendieck published something about this conjecture?


Is there some book (or expository article) about this conjecture?


Is there any connection between this conjecture and others important conjectures (Tate, Hodge, Standadrd, Beilinson,...)?



Reference request: Grothendieck´s period conjecture?
You'll find a detailed history of the conjecture, including a discussion of Grothendieck's original contribution, in [this paper](http://arxiv.org/pdf/1307.1045.pdf) of Bost and Charles.


