User Marsault Chabat

24 votes

1 answer

2k views

Why are there three kinds of non-archimedean geometry?

asked Dec 12, 2022 at 10:12

7 votes

1 answer

327 views

References for the construction of Beilinson's motivic Eisenstein classes

asked Feb 18, 2023 at 14:46

5 votes

1 answer

834 views

Understand the $p$-adic local Langlands correspondence with examples

asked Dec 18, 2022 at 12:20

5 votes

1 answer

234 views

Motive associated to a cuspidal representation of $GSp_{4}$

asked Jul 13, 2022 at 19:21

5 votes

1 answer

821 views

Can the functor of the points of a scheme be characterized by its values on subcategories of the affine schemes?

asked Oct 26, 2022 at 11:44

4 votes

0 answers

287 views

The link between Satake parameter and Godement-Jacquet L-function of an automorphic representation of $GL_{n}$

asked May 9, 2022 at 18:07

4 votes

1 answer

309 views

Why descend a representation (of a finite group) over $K$ to a representation over $k$ with $k$ a subfield of $K$ is useful?

asked Sep 10, 2022 at 14:48

4 votes

0 answers

172 views

The notion of border for (complex and non-archimedean) analytic spaces and schemes

asked Oct 15, 2022 at 12:50

4 votes

0 answers

190 views

Several L-functions but one Galois representation: How to choose

asked May 23, 2023 at 5:33

3 votes

0 answers

185 views

Relations between some categories of étale sheaves

asked Oct 16, 2023 at 17:57

3 votes

1 answer

225 views

Does base change respect Galois correspondence between $\ell$-adic sheaves and representations of the fundamental étale group?

asked Oct 19, 2023 at 15:45

3 votes

0 answers

102 views

List of techniques that have been used to prove topological properties of locus in the deformation ring or the Hecke algebra

asked Nov 20, 2023 at 11:21

3 votes

0 answers

156 views

Taylor-Wiles systems for higher dimensional deformation rings

asked Jan 31 at 16:03

3 votes

1 answer

197 views

Motivic cohomology as $\mathit{Hom}$ in the category of geometric motives, with coefficient in a Chow motive

asked Jun 12, 2022 at 15:31

3 votes

1 answer

182 views

$l$-adic sheaf associated to an algebraic representation of $\mathrm{GSp}_{4}(\mathbb{Q})$

asked Sep 6, 2022 at 13:09

3 votes

0 answers

226 views

Generalisation of Sharifi's conjecture for Siegel varieties

asked Nov 10, 2022 at 13:02

3 votes

1 answer

207 views

Why do we ask Shimura datum to have Hodge weight $(-1,1),(0,0),(1,-1)$?

asked Dec 7, 2022 at 21:50

3 votes

0 answers

1k views

When is a subspace of the cohomology of a smooth projective scheme on $k$ a motive?

asked Dec 8, 2022 at 19:57

3 votes

0 answers

178 views

On a sentence of J.Nekovar in the introduction of "Selmer complexes"

asked Jul 25 at 4:04

2 votes

0 answers

139 views

What are the categories of IND and PRO schemes?

asked Mar 8 at 18:15

2 votes

1 answer

202 views

Reference for isomorphism between parabolic and cuspidal cohomology of the Siegel variety

asked Apr 3, 2023 at 8:57

2 votes

0 answers

211 views

A list of $R=T$ theorems for $\mathbf{GSp}_4$

asked Apr 5, 2023 at 18:43

1 vote

0 answers

55 views

Can a surjective morphism between complete intersection rings be given by adding terms to a regular sequence?

asked Feb 12 at 10:37

1 vote

0 answers

254 views

Why does Deligne's construction of the Galois representation attached to the new cuspidal forms require that the Kuga-Sato manifold be regular?

asked Oct 19, 2022 at 18:34

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24 Questions

Why are there three kinds of non-archimedean geometry?

References for the construction of Beilinson's motivic Eisenstein classes

Understand the $p$-adic local Langlands correspondence with examples

Motive associated to a cuspidal representation of $GSp_{4}$

Can the functor of the points of a scheme be characterized by its values on subcategories of the affine schemes?

The link between Satake parameter and Godement-Jacquet L-function of an automorphic representation of $GL_{n}$

Why descend a representation (of a finite group) over $K$ to a representation over $k$ with $k$ a subfield of $K$ is useful?

The notion of border for (complex and non-archimedean) analytic spaces and schemes

Several L-functions but one Galois representation: How to choose

Relations between some categories of étale sheaves

Does base change respect Galois correspondence between $\ell$-adic sheaves and representations of the fundamental étale group?

List of techniques that have been used to prove topological properties of locus in the deformation ring or the Hecke algebra

Taylor-Wiles systems for higher dimensional deformation rings

Motivic cohomology as $\mathit{Hom}$ in the category of geometric motives, with coefficient in a Chow motive

$l$-adic sheaf associated to an algebraic representation of $\mathrm{GSp}_{4}(\mathbb{Q})$

Generalisation of Sharifi's conjecture for Siegel varieties

Why do we ask Shimura datum to have Hodge weight $(-1,1),(0,0),(1,-1)$?

When is a subspace of the cohomology of a smooth projective scheme on $k$ a motive?

On a sentence of J.Nekovar in the introduction of "Selmer complexes"

What are the categories of IND and PRO schemes?

Reference for isomorphism between parabolic and cuspidal cohomology of the Siegel variety

A list of $R=T$ theorems for $\mathbf{GSp}_4$

Can a surjective morphism between complete intersection rings be given by adding terms to a regular sequence?

Why does Deligne's construction of the Galois representation attached to the new cuspidal forms require that the Kuga-Sato manifold be regular?