Certain mean values and non-vanishing of automorphic L-functions with large level
Cohomologie des espaces de formes automorphes
Cohomology of arithmetic groups with infinite dimensional coefficient spaces.
Cohomology of S-arithmetic subgroups in the number field case.
Cohomology of the boundary of Siegel modular varieties of degree two, with applications
Let 𝓐₂(n) = Γ₂(n)∖𝔖₂ be the quotient of Siegel's space of degree 2 by the principal congruence subgroup of level n in Sp(4,ℤ). This is the moduli space of principally polarized abelian surfaces with a level n structure. Let 𝓐₂(n)* denote the Igusa compactification of this space, and ∂𝓐₂(n)* = 𝓐₂(n)* - 𝓐₂(n) its "boundary". This is a divisor with normal crossings. The main result of this paper is the determination of H(∂𝓐₂(n)*) as a module over the finite group Γ₂(1)/Γ₂(n). As an application...
Cohomology of torus bundles over Kuga fiber varieties.
Cohomology sets inside arithmetic groups
Computing Hecke eigenvalues below the cohomological dimension.
Constructions of automorphic forms and related cohomology classes for arithmetic subgroups of
Control theorems of -nearly ordinary cohomology groups for