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Motivic Cohomology of Schemes

Project description

Beyond the current motivic cohomology theory

Cohomology is originally part of geometry and the theory of spaces, used to capture and linearise subtle geometric and topological information. It has been extended in many ways to algebraic geometry and number theory, where it can now encode arithmetic information relevant to numerous important unsolved problems. A particular, and in some sense universal, cohomology theory is the geometric motivic cohomology developed from the 1980s to the 2000s. The EU-funded MoCoS project is developing an extension of this motivic cohomology to the arithmetic, and even singular, context. It relies on recent breakthroughs in homotopy theory and arithmetic geometry, such as topological cyclic homology and perfectoids.

Host institution

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Net EU contribution
€ 1 635 650,00
Address
Rue Michel Ange 3
75794 Paris
France

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Region
Ile-de-France Ile-de-France Paris
Activity type
Research Organisations
Non-EU contribution
€ 0,00

Beneficiaries (1)

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
France
Net EU contribution
€ 1 635 650,00
Address
Rue Michel Ange 3
75794 Paris

See on map

Region
Ile-de-France Ile-de-France Paris
Activity type
Research Organisations
Non-EU contribution
€ 0,00