On a mysterious reference of Grothendieck

As an addendum to Donu's answer, I quote from the Table des matieres of Dix Exposés:

IX GROTHENDIECK (Alexander), Crystals and the De Rham Cohomology of schemes (notes by I. Coates and O. Jussila), IHES Decembre 1966, 54 p.

So it is certainly Dix Exposés. And "I. Coates" is most likely John Coates. According to Wikipedia Coates was born in '45 (so he would've been 21 at the time), and he moved to Paris to study at the ENS after obtaining a Bachelor's degree from ANU.


I think your hunch is correct that Google is in error, and that "Crystals and the de Rham cohomology of schemes" refers to the article in Dix Exposés. I doubt there is a book by the same name and author. There is also "On the de Rham cohomology of algebraic varieties" but that's different. The first is a long proposal for crystalline cohomology (which hadn't been developed at that point), and the second is an extract from a letter to Atiyah giving a proof of the algebraic de Rham theorem. Does that help?

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