Alex

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Name	Alex
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are irreducible representations with large fixed subspaces trivial?

Which Shimura varieties are known to be automorphic?

snake lemma in category of groups

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

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

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

Finiteness of normalization of Noetherian normal domain

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

Bad behaviour of perverse sheaves over ‘general’ bases?

When do adjunctions preserve equivalence?

semisimplicity of automorphic Galois representations

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

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

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

The category of l-adic sheaves

Finiteness of étale Cohomology Groups

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

Reference for Numerical vs Homological equivalence

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

Conjugacy class of a full Jordan block over integers

Equivalent forms of the proper base change isomorphism

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

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

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