User sawdada

8

24

votes

1

answer

713

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

564

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

736

views

Can Yoneda lemma for smooth projective varieties only use curves?

ag.algebraic-geometry

Feb 16 at 23:27 Sándor Kovács 39.1k

2

14

votes

0

answers

471

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 38.6k

8

13

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

1

13

votes

0

answers

357

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 5,810

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 153

1

12

votes

2

answers

300

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 8,880

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

322

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 28.8k

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 6,599

2

11

votes

2

answers

778

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

934

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 18.3k

5

10

votes

1

answer

400

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 at 20:51 Paul Broussous 5,449

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 5,810

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 5,810

3

9

votes

0

answers

365

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 38.6k

1

9

votes

1

answer

201

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 48.9k

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

514

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 5,810

1

8

votes

0

answers

172

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 5,810

1

8

votes

1

answer

345

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 35.3k

2

8

votes

3

answers

511

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 2,393

4

8

votes

0

answers

156

views

Modular version of Mednykh's formula?

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

Oct 23 '18 at 23:20 Arun Debray 4,936

3

8

votes

1

answer

566

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 5,810

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 4,137

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

401

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 8,027

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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?

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

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

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?

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 $p$

Recover the field from its Milnor K-groups

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

Modular version of Mednykh's formula?

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 $\Bbb P^1$