User Sanchez - Mathematics Stack Exchange

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4

6

votes

0

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79

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Visualize Fourth Homotopy Group of $S^2$

apr 26 at 1:52 Michael Albanese 4,683

3

7

votes

2

answers

127

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What's the point of spectra?

algebraic-topology homotopy-theory cohomology homology stable-homotopy-theory

may 11 at 17:46 redfiloux 346

4

11

votes

1

answer

189

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What does the group ring $\mathbb{Z}[G]$ of a finite group know about $G$?

finite-groups representation-theory group-cohomology group-ring

apr 29 at 23:36 Alexander Konovalov 544

3

13

votes

1

answer

197

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Writing a group element as $ghg^{-1} h^{-1}$ and as $g^2 h^2$

abstract-algebra group-theory finite-groups representation-theory alternative-proof

may 11 at 3:15 Serkan 3,099

2

4

votes

1

answer

52

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Symplectic geometry as a prequisite for Heegaard Floer homology

differential-geometry algebraic-topology homology symplectic-geometry

apr 10 at 20:31 Adeel 1,573

5

7

votes

1

answer

99

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what's the role of fiber bundles play in understanding the base space?

general-topology differential-geometry algebraic-topology soft-question examples-counterexamples

apr 11 at 23:54 Geoffroy 56

64

60

votes

6

answers

1

kviews

Best Sets of Lecture Notes and Articles

big-list self-learning learning

may 9 at 21:19 Andrew 1,643

3

8

votes

1

answer

138

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Why is a path-connected topological space homotopy equivalent to the classifying space of its loop space?

algebraic-topology

apr 28 at 19:03 user32240 4,931

14

21

votes

3

answers

360

views

Intuition for the Importance of Modular Forms

number-theory intuition modular-forms

apr 10 at 7:23 Rohit Chatterjee 1

2

6

votes

1

answer

122

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How to compute the Galois group of $x^5+99x-1$ over $\mathbb{Q}$?

abstract-algebra field-theory galois-theory

mar 6 at 11:06 Andreas Caranti 15.4k

4

18

votes

0

answers

261

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What is the Picard group of $z^3=y(y^2-x^2)(x-1)$?

algebraic-geometry commutative-algebra

feb 25 at 0:29 YACP 9,190

12

34

votes

3

answers

395

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The resemblance between Mordell's theorem and Dirichlet's unit theorem

number-theory algebraic-number-theory elliptic-curves arithmetic-geometry

mar 5 at 12:58 QiL'8 15.3k

2

3

votes

2

answers

120

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Let $G$ be a Lie group. Show that there is a diffeomorphism $TG \cong G \times T_e G$.

homework differential-topology lie-groups

feb 21 at 2:27 Alex Youcis 12.4k

7

8

votes

1

answer

280

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Undergraduate roadmap for Langlands program and its geometric counterpart

number-theory reference-request algebraic-geometry representation-theory automorphic-forms

feb 19 at 2:45 Orest Xherija 425

18

32

votes

6

answers

862

views

Studying for the Putnam Exam

big-list contest-math self-learning learning

7h ago Brian M. Scott 155k

17

40

votes

3

answers

895

views

Paul Erdos's Two-Line Functional Analysis Proof

functional-analysis reference-request math-history

feb 15 at 4:12 zyx 11.1k

6

8

votes

4

answers

120

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Examples of Monads and their Algebras

big-list examples-counterexamples adjoint monads

jan 16 at 1:41 Olivier Bégassat 3,654

2

votes

2

answers

57

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Are “FG-module characters” sometimes used, too?

representation-theory characters

feb 7 at 9:36 awllower 2,935

2

6

votes

2

answers

264

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Does curvature zero mean the bundle is trivial?

differential-geometry algebraic-topology

dec 10 at 17:28 levap 2,243

6

16

votes

2

answers

319

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Roadmap to study Atiyah-Singer index theorem

differential-geometry algebraic-topology soft-question differential-topology

feb 5 at 3:56 Eric O. Korman 7,550

6

11

votes

1

answer

165

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What do ideles and adeles look like?

algebraic-number-theory

feb 2 at 9:14 fretty 3,898

2

9

votes

2

answers

128

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Elliptic curves over Spec Z

algebraic-geometry elliptic-curves arithmetic-geometry

jan 31 at 8:20 QiL'8 15.3k

3

6

votes

2

answers

194

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Combinatorial proof: $p^{r-n}$ divides $\binom{p^{r-2}}{n}$

combinatorics elementary-number-theory binomial-coefficients

jan 29 at 17:52 Carl 1,047

4

10

votes

2

answers

246

views

Where do Chern classes live? $c_1(L)\in \textrm{?}$

reference-request algebraic-geometry schemes characteristic-classes

jan 26 at 20:39 Javier Álvarez 4,794

6

7

votes

1

answer

290

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Let $a_{i} \in\mathbb{R}$ ($i=1,2,\dots,n$), and $f(x)=\sum_{i=0}^{n}a_{i}x^i$ such that if $|x|\leqslant 1$, then $|f(x)|\leqslant 1$. Prove that:

analysis polynomials inequality

2d ago math110 1,937

1

2

votes

1

answer

88

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what is genus of complete intersection for: $F_1 = x_0 x_3 - x_1 x_2 , F_2 = x_0^2 + x_1^2 + x_2^2 + x_3^2$

algebraic-geometry riemann-surfaces algebraic-curves

jan 16 at 9:03 Georges Elencwajg 45k

3

7

votes

1

answer

82

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Isomorphism of Galois groups induces an isomorphism on decomposition groups?

algebraic-number-theory galois-theory

jan 16 at 7:06 jspecter 5,712

1

2

votes

1

answer

94

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Do we have such a direct product decomposition of Galois groups?

group-theory algebraic-number-theory galois-theory

jan 15 at 14:18 Brandon Carter 4,526

1

2

votes

0

answers

73

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Finding prime in compositum of fields over two given fields, that satisfy criterion

number-theory algebraic-number-theory

apr 15 '12 at 2:32 simplequestions 115

4

11

votes

2

answers

136

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Different ways of representing a second cohomology class

algebraic-topology cohomology characteristic-classes

jan 18 at 13:29 Steve D 5,250

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