Pierre Deligne

Encyclopedia

## See also

- Deligne conjectureDeligne conjectureIn mathematics, there are a number of so-called Deligne conjectures, provided by Pierre Deligne. These are independent conjectures in various fields of mathematics....
- Deligne–Mumford moduli space of curves
- Deligne–Mumford stacks
- Deligne cohomologyDeligne cohomologyIn mathematics, Deligne cohomology is the hypercohomology of the Deligne complex of a complex manifold. It was introduced by Pierre Deligne in unpublished work in about 1972 as a cohomology theory for algebraic varieties that includes both ordinary cohomology and intermediate Jacobians.For...
- Fourier–Deligne transformFourier–Deligne transformIn algebraic geometry, the Fourier–Deligne transform, or ℓ-adic Fourier transform, or geometric Fourier transform, is an operation on objects of the derived category of ℓ-adic sheaves over the affine line. It was introduced by Pierre Deligne on November 29th, 1976 in a letter to David Kazhdan as...
- Langlands–Deligne local constantLanglands–Deligne local constantIn mathematics, the Langlands–Deligne local constant is an elementary function associated with a representation of the Weil group of a local field...