CORDIS Project
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This project focuses on p-adic Hodge Theory, aiming to resolve key problems in arithmetic algebraic geometry. It will investigate different approaches to understand the relationship between various mathematical methods and their implications for understanding complex structures in mathematics.
The proposed project concerns p-adic Hodge Theory, a major area of arithmetic algebraic geometry; it owes its existence to the 1968 observation of John Tate that the well-known Hodge decomposition of the singular cohomology of a complex manifold should have a p-adic analogue, in which the singular cohomology is replaced by the p-adic etale cohomology.There are currently two distinct approaches to the study of this Hodge-Tate decomposition.
The first, developed mainly by Bloch, Kato, and Tsuji, u…
INSTITUT DES HAUTES ETUDES SCIENTIFIQUES
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