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.
Fields of science
Call for proposalSee other projects for this call
Funding SchemeERC-COG - Consolidator Grant
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