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.

Fields of science

Host institution

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS

Net EU contribution

€ 1 635 650,00

Address

Rue Michel Ange 3
75794 Paris
France

Contact the organisation

Activity type

Research Organisations

Non-EU contribution

€ 0,00

Region

Ile-de-France Ile-de-France Paris

Website

Participation in EU R&I programmes

Beneficiaries (1)