User sawdada

26 votes

1 answer

831 views

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

asked Jan 23, 2019 at 17:29

20 votes

2 answers

790 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

asked Nov 9, 2018 at 22:04

17 votes

1 answer

774 views

Can Yoneda lemma for smooth projective varieties only use curves?

ag.algebraic-geometry

asked Dec 30, 2019 at 18:15

15 votes

0 answers

616 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

asked Aug 27, 2018 at 18:22

14 votes

3 answers

1k views

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

at.algebraic-topology manifolds

asked Jul 14, 2018 at 15:27

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

asked Mar 26, 2019 at 2:04

13 votes

0 answers

430 views

Hensel lemma and rational points in complete noetherian local ring

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

asked Dec 10, 2018 at 21:15

12 votes

0 answers

255 views

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

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

asked Feb 3, 2019 at 16:33

12 votes

2 answers

377 views

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

ac.commutative-algebra

asked Oct 31, 2018 at 3:03

12 votes

0 answers

537 views

Representation theory of finite groups with additional structures

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

asked May 2, 2018 at 17:40

11 votes

2 answers

997 views

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

ag.algebraic-geometry nt.number-theory

asked Sep 27, 2018 at 21:00

11 votes

2 answers

728 views

Distinguish smooth affine algebraic group by its underlying variety

ag.algebraic-geometry algebraic-groups

asked Dec 23, 2019 at 17:13

11 votes

1 answer

371 views

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

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

asked Oct 8, 2019 at 6:28

11 votes

1 answer

381 views

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

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

asked Jun 2, 2019 at 19:40

10 votes

0 answers

208 views

Subvarieties with isomorphic complements

ag.algebraic-geometry at.algebraic-topology divisors

asked Oct 4, 2019 at 20:46

10 votes

2 answers

708 views

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

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

asked Nov 12, 2019 at 20:38

10 votes

1 answer

242 views

Iteration of a morphism and flatness

ag.algebraic-geometry ac.commutative-algebra flatness

asked Aug 31, 2018 at 18:18

10 votes

0 answers

186 views

Modular version of Mednykh's formula?

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

asked Oct 23, 2018 at 22:56

10 votes

1 answer

354 views

Numbers of solutions equal on every finite commutative ring

ag.algebraic-geometry nt.number-theory

asked Nov 14, 2017 at 5:58

9 votes

1 answer

604 views

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

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

asked Nov 21, 2018 at 6:26

9 votes

0 answers

413 views

Classification of finite flat group schemes over integers?

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

asked Jun 8, 2019 at 23:25

9 votes

1 answer

428 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

asked Jun 25, 2019 at 3:51

9 votes

1 answer

252 views

Group cohomology of modular representations for finite groups of Lie type

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

asked Jan 6, 2020 at 18:45

9 votes

0 answers

183 views

Recover the field from its Milnor K-groups

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

asked Jan 9, 2020 at 6:43

8 votes

1 answer

506 views

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

gr.group-theory rt.representation-theory

asked Dec 27, 2019 at 17:53

8 votes

1 answer

682 views

Tate modules of commutative group schemes over finite field

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

asked Apr 21, 2018 at 15:38

8 votes

3 answers

611 views

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

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

asked May 26, 2018 at 12:15

7 votes

1 answer

463 views

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

ag.algebraic-geometry algebraic-surfaces

asked Oct 15, 2018 at 17:29

7 votes

0 answers

218 views

Invariant lattices of group representations over a $p$-adic field

nt.number-theory gr.group-theory rt.representation-theory

asked Oct 17, 2018 at 22:23

7 votes

1 answer

364 views

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

ag.algebraic-geometry abelian-varieties motives

asked Apr 18, 2019 at 17:25

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84 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?

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

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

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

Distinguish smooth affine algebraic group by its underlying variety

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

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

Subvarieties with isomorphic complements

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

Iteration of a morphism and flatness

Modular version of Mednykh's formula?

Numbers of solutions equal on every finite commutative ring

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

Classification of finite flat group schemes over integers?

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

Group cohomology of modular representations for finite groups of Lie type

Recover the field from its Milnor K-groups

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

Tate modules of commutative group schemes over finite field

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

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

Invariant lattices of group representations over a $p$-adic field

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