CORDIS Project
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This project focuses on advancing the theory of motivic cohomology in arithmetic algebraic geometry, particularly for various types of algebraic varieties. It aims to enhance understanding of algebraic K-theory and its applications, including singular varieties and p-adic motivic cohomology, using recent developments i…
The project belongs to the field of arithmetic algebraic geometry and is centred around algebraic K-theory, motivic cohomology, and topological cyclic homology.
The overall goal is to develop a general theory of motivic cohomology for arbitrary schemes, extending the existing theory of Bloch, Levine, Suslin, Voevodsky, and others in the special case of smooth algebraic varieties.
This will describe non-connective algebraic K-theory via an Atiyah--Hirzebruch spectral sequence.
The project relies…
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
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