23

Answers
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4
semisimplicity of automorphic Galois representations
3
The category of l-adic sheaves
1
Equivalent forms of the proper base change isomorphism
3
Do etale neighhbourhoods of a subvariety descend along base field extensions; does normalization commute with etale base change?
0
When does the equivariant homology of the fixed part of a $G$-space surject onto the equivariant homology of the whole space?
6
Finiteness of normalization of Noetherian normal domain
5
When do adjunctions preserve equivalence?
5
Bad behaviour of perverse sheaves over ‘general’ bases?
0
Is there a $k$-structure for Hodge modules over a $k$-variety?
2
Reference for Numerical vs Homological equivalence
5
Functoriality properties of the perverse $t$-structure for torsion (constructible complexes of) sheaves
3
Finiteness of étale Cohomology Groups
12
Which Shimura varieties are known to be automorphic?
4
Is it easy to define weights for $Q_l$-sheaves over finite type $Z[1/l]$-schemes?
7
Is there an easy proof of the fact that the intermediate image functor respects weights?
7
If one wants to work with $Q_l$-adic sheaves, should the scheme be of finite type over a 1-dimensional one?
4
Are two conjectural descriptions of the motivic t-structure (via cohomology and via affine varieties) known to be equivalent?
2
Could the Kunneth decomposition of a motif depend on the choice of $l$?
9
snake lemma in category of groups
13
are irreducible representations with large fixed subspaces trivial?
1
Conjugacy class of a full Jordan block over integers
7
What’s an example of an intersection cohomology sheaf whose stalks are pure but not pointwise pure?
4
Which statements in section 5 of BBD will fail if we consider $\mathbb{Q}_l$-adic sheaves there?