User sawdada

9

24

votes

1

answer

721

views

What automorphic forms are expected to occur in the zeta function of moduli space of curves?

Jan 26 '19 at 5:51 Dan Petersen 31.8k

6

19

votes

2

answers

574

views

$GL_n(\Bbb Z_p)$ conjugacy classes in a $GL_n(\Bbb Q_p)$ conjugacy class

nt.number-theory gr.group-theory linear-algebra algebraic-groups p-adic-groups

Nov 16 '18 at 11:05 François Brunault 17.2k

4

17

votes

1

answer

739

views

Can Yoneda lemma for smooth projective varieties only use curves?

ag.algebraic-geometry

Feb 16 at 23:27 Sándor Kovács 39.1k

8

14

votes

8

answers

2k

views

Applications of the idea of deformation in algebraic geometry and other areas?

ag.algebraic-geometry nt.number-theory rt.representation-theory soft-question big-list

Mar 30 '19 at 15:55 Miguel González 76

2

14

votes

0

answers

476

views

If a polynomial ring is a finite flat module over some subring, is that subring itself a polynomial ring?

ag.algebraic-geometry ac.commutative-algebra homological-algebra

Sep 29 '18 at 8:00 YCor 39.4k

1

13

votes

0

answers

358

views

Hensel lemma and rational points in complete noetherian local ring

ag.algebraic-geometry nt.number-theory ac.commutative-algebra arithmetic-geometry

Dec 11 '18 at 16:00 sawdada 5,830

2

12

votes

0

answers

238

views

Mixed characteristic analogue of algebraicity of the diagonal of two-variable power series?

ag.algebraic-geometry nt.number-theory power-series witt-vectors

Apr 10 '19 at 15:52 user2831784 185

1

12

votes

2

answers

302

views

Noetherian local ring and the growth of $\dim_k \operatorname{Ext}^i(k,k)$

ac.commutative-algebra

Nov 1 '18 at 0:18 Michael Hardy 8,890

3

12

votes

0

answers

530

views

Representation theory of finite groups with additional structures

ag.algebraic-geometry rt.representation-theory algebraic-groups

May 20 '18 at 15:59 j.c. 12.5k

2

11

votes

1

answer

323

views

When does a locally symmetric space have no odd degree Betti numbers?

at.algebraic-topology rt.representation-theory lie-groups automorphic-forms lattices

Feb 25 at 1:27 Misha 28.9k

2

11

votes

2

answers

662

views

Distinguish smooth affine algebraic group by its underlying variety

ag.algebraic-geometry algebraic-groups

Dec 26 at 11:49 Guntram 3,958

1

11

votes

1

answer

367

views

Finiteness of $H_1 \backslash G / H_2$ and the geometry of the orbits

ag.algebraic-geometry algebraic-groups reductive-groups spherical-varieties

Jun 14 '19 at 11:51 Sean Lawton 6,629

2

11

votes

2

answers

788

views

mod p etale cohomology of the special fiber and the generic fiber

ag.algebraic-geometry nt.number-theory

Apr 26 '19 at 3:08 Community♦ 1

2

11

votes

3

answers

941

views

Existence of non-null-homotopic map from $M^n$ to $S^{n-1}$

at.algebraic-topology manifolds

Jul 15 '18 at 16:39 Piotr Hajlasz 18.6k

5

10

votes

1

answer

405

views

Why is Langlands functoriality usually related with period integral in a third group?

nt.number-theory rt.representation-theory automorphic-forms langlands-conjectures

Nov 13 '19 at 20:51 Paul Broussous 5,479

3

10

votes

0

answers

201

views

Subvarieties with isomorphic complements

ag.algebraic-geometry at.algebraic-topology divisors

Oct 5 '19 at 3:04 sawdada 5,830

10

votes

1

answer

233

views

Iteration of a morphism and flatness

ag.algebraic-geometry ac.commutative-algebra flatness

Sep 1 '18 at 16:45 Laurent Moret-Bailly 16.6k

2

10

votes

1

answer

320

views

Numbers of solutions equal on every finite commutative ring

ag.algebraic-geometry nt.number-theory

Nov 14 '17 at 12:42 sawdada 5,830

3

9

votes

0

answers

369

views

Classification of finite flat group schemes over integers?

ag.algebraic-geometry nt.number-theory arithmetic-geometry galois-representations group-schemes

Feb 15 at 10:08 YCor 39.4k

1

9

votes

0

answers

175

views

Recover the field from its Milnor K-groups

nt.number-theory ra.rings-and-algebras kt.k-theory-and-homology fields

Feb 6 at 20:20 sawdada 5,830

1

9

votes

1

answer

203

views

Group cohomology of modular representations for finite groups of Lie type

gr.group-theory rt.representation-theory algebraic-groups

Jan 7 at 17:22 Jim Humphreys 49k

1

9

votes

1

answer

422

views

Structure of the variety of $n$-tuples of $m \times m$ matrices with zero product

ag.algebraic-geometry matrices algebraic-groups cohomology etale-cohomology

Nov 26 at 14:01 Community♦ 1

2

9

votes

1

answer

518

views

Nontrivial p-divisible groups over $\mathbb Z$ for general prime $p$

ag.algebraic-geometry nt.number-theory arithmetic-geometry formal-groups

Jul 24 '19 at 5:51 sawdada 5,830

4

9

votes

0

answers

161

views

Modular version of Mednykh's formula?

gr.group-theory rt.representation-theory modular-representation-theory

Oct 23 '18 at 23:20 Arun Debray 5,131

1

8

votes

1

answer

351

views

The (possibly negative) integers arising from sum of elements in any column of the character table

gr.group-theory rt.representation-theory

Dec 28 at 12:54 Geoff Robinson 35.5k

2

8

votes

3

answers

514

views

Number of points of the nilpotent cone over a finite field and its cohomology

nt.number-theory rt.representation-theory algebraic-groups

Nov 5 '18 at 10:43 Dr. Evil 2,445

3

8

votes

1

answer

571

views

Tate modules of commutative group schemes over finite field

ag.algebraic-geometry nt.number-theory algebraic-groups

May 1 '18 at 13:44 sawdada 5,830

7

votes

3

answers

424

views

Endomorphism ring of $J_0(p)$ and Hecke operators

nt.number-theory arithmetic-geometry hecke-operators modular-curves

Jan 16 at 9:45 Martin Sleziak 4,247

7

votes

1

answer

328

views

Is $\operatorname{dim} H^1$ of an abelian variety the same for any Weil cohomology?

ag.algebraic-geometry abelian-varieties motives

Apr 19 '19 at 17:56 anon 188

1

7

votes

1

answer

408

views

Classification of smooth algebraic surfaces with a smooth morphism to $\Bbb P^1$

ag.algebraic-geometry algebraic-surfaces

Oct 16 '18 at 22:15 Ariyan Javanpeykar 8,157

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82 Questions

What automorphic forms are expected to occur in the zeta function of moduli space of curves?

$GL_n(\Bbb Z_p)$ conjugacy classes in a $GL_n(\Bbb Q_p)$ conjugacy class

Can Yoneda lemma for smooth projective varieties only use curves?

Applications of the idea of deformation in algebraic geometry and other areas?

If a polynomial ring is a finite flat module over some subring, is that subring itself a polynomial ring?

Hensel lemma and rational points in complete noetherian local ring

Mixed characteristic analogue of algebraicity of the diagonal of two-variable power series?

Noetherian local ring and the growth of $\dim_k \operatorname{Ext}^i(k,k)$

Representation theory of finite groups with additional structures

When does a locally symmetric space have no odd degree Betti numbers?

Distinguish smooth affine algebraic group by its underlying variety

Finiteness of $H_1 \backslash G / H_2$ and the geometry of the orbits

mod p etale cohomology of the special fiber and the generic fiber

Existence of non-null-homotopic map from $M^n$ to $S^{n-1}$

Why is Langlands functoriality usually related with period integral in a third group?

Subvarieties with isomorphic complements

Iteration of a morphism and flatness

Numbers of solutions equal on every finite commutative ring

Classification of finite flat group schemes over integers?

Recover the field from its Milnor K-groups

Group cohomology of modular representations for finite groups of Lie type

Structure of the variety of $n$-tuples of $m \times m$ matrices with zero product

Nontrivial p-divisible groups over $\mathbb Z$ for general prime $p$

Modular version of Mednykh's formula?

The (possibly negative) integers arising from sum of elements in any column of the character table

Number of points of the nilpotent cone over a finite field and its cohomology

Tate modules of commutative group schemes over finite field

Endomorphism ring of $J_0(p)$ and Hecke operators

Is $\operatorname{dim} H^1$ of an abelian variety the same for any Weil cohomology?

Classification of smooth algebraic surfaces with a smooth morphism to $\Bbb P^1$