Alex's user avatar
Alex's user avatar
Alex's user avatar
Alex
  • Member for 13 years, 2 months
4 votes
Accepted

semisimplicity of automorphic Galois representations

4 votes

The category of l-adic sheaves

1 vote
Accepted

Equivalent forms of the proper base change isomorphism

3 votes

Do etale neighhbourhoods of a subvariety descend along base field extensions; does normalization commute with etale base change?

0 votes

When does the equivariant homology of the fixed part of a $G$-space surject onto the equivariant homology of the whole space?

8 votes
Accepted

Finiteness of normalization of Noetherian normal domain

5 votes

When do adjunctions preserve equivalence?

6 votes
Accepted

Bad behaviour of perverse sheaves over 'general' bases?

2 votes
Accepted

Is there a $k$-structure for Hodge modules over a $k$-variety?

3 votes
Accepted

Reference for Numerical vs Homological equivalence

5 votes
Accepted

Functoriality properties of the perverse $t$-structure for torsion (constructible complexes of) sheaves

3 votes
Accepted

Finiteness of étale Cohomology Groups

14 votes
Accepted

Which Shimura varieties are known to be automorphic?

4 votes
Accepted

Is it easy to define weights for $Q_l$-sheaves over finite type $Z[1/l]$-schemes?

8 votes
Accepted

Is there an easy proof of the fact that the intermediate image functor respects weights?

7 votes
Accepted

If one wants to work with $Q_l$-adic sheaves, should the scheme be of finite type over a 1-dimensional one?

7 votes
Accepted

Are two conjectural descriptions of the motivic t-structure (via cohomology and via affine varieties) known to be equivalent?

2 votes
Accepted

Could the Kunneth decomposition of a motif depend on the choice of $l$?

13 votes
Accepted

snake lemma in category of groups

13 votes

are irreducible representations with large fixed subspaces trivial?

1 vote

Conjugacy class of a full Jordan block over integers

11 votes
Accepted

What's an example of an intersection cohomology sheaf whose stalks are pure but not pointwise pure?

6 votes
Accepted

Which statements in section 5 of BBD will fail if we consider $\mathbb{Q}_l$-adic sheaves there?