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Higher coherent coholomogy of Shimura varieties

Project description

Research on the cohomology of Shimura varieties takes a step forward

In number theory, a Shimura variety is a higher-dimensional analogue of a modular curve. Its geometry is closely linked to the theory of automorphic forms over the corresponding reductive algebraic group. It is a central part of automorphic forms, Galois representations and motives. As a result, it makes a natural test case for investigating the conjectural relations between motives and automorphic forms, and for whether all zeta functions are automorphic. The EU-funded HiCoShiVa project will focus on understanding torsion appearing in the coherent cohomology of Shimura varieties. Compared to previous studies that explored cohomology classes of degree 0, the project will focus on higher cohomology groups. The main project innovation will be the construction of p-adic variations of higher coherent cohomology groups.

Host institution

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Net EU contribution
€ 1 288 750,00
Address
Rue Michel Ange 3
75794 Paris
France

See on map

Region
Ile-de-France Ile-de-France Paris
Activity type
Research Organisations
Other funding
€ 1 288 750,00

Beneficiaries (1)

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
France
Net EU contribution
€ 1 288 750,00
Address
Rue Michel Ange 3
75794 Paris

See on map

Region
Ile-de-France Ile-de-France Paris
Activity type
Research Organisations
Other funding
€ 1 288 750,00