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Alex
  • Member for 11 years, 4 months
14 votes
Accepted

Which Shimura varieties are known to be automorphic?

13 votes

are irreducible representations with large fixed subspaces trivial?

13 votes
Accepted

snake lemma in category of groups

10 votes
Accepted

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

8 votes
Accepted

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

8 votes
Accepted

Finiteness of normalization of Noetherian normal domain

7 votes
Accepted

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

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?

6 votes
Accepted

Bad behaviour of perverse sheaves over 'general' bases?

5 votes

When do adjunctions preserve equivalence?

5 votes
Accepted

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

5 votes
Accepted

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

4 votes

The category of l-adic sheaves

4 votes
Accepted

semisimplicity of automorphic Galois representations

4 votes
Accepted

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

3 votes
Accepted

Reference for Numerical vs Homological equivalence

3 votes
Accepted

Finiteness of étale Cohomology Groups

3 votes

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

2 votes
Accepted

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

2 votes
Accepted

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

1 vote

Conjugacy class of a full Jordan block over integers

1 vote
Accepted

Equivalent forms of the proper base change isomorphism

0 votes

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