ERC Starting Grant · 2019
The proposed goal is to investigate several conjectures in algebraic and arithmetic geometry that concern basic structural properties of Noetherian schemes and of their cohomology and that have far-reaching geometric implications. The three proposed major directions are as follows. The first is purity in arithmetic algebraic geometry. Here we plan to use perfectoid techniques, introduced into the study of such questions by our proof of Grothendieck's purity conjecture for the Brauer group. We generalize this conjecture together with several related still open conjectures of Gabber into a purity conjecture for flat cohomology. We propose to attack the latter via an attempt to reduce it to…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.
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