User Sanchez - Mathematics Stack Exchange

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3

7

votes

2

answers

123

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What's the point of spectra?

may 11 at 17:46 redfiloux 346

3

13

votes

1

answer

196

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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 3,090

15

16

votes

3

answers

812

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Consequences of Degree Theory

reference-request algebraic-topology differential-topology

may 10 at 18:05 Asaf Karagila 90.7k

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

4

11

votes

1

answer

183

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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

8

votes

1

answer

135

views

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 4,846

1

vote

1

answer

283

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Assignment on PDE with Neumann boundary conditions

homework functional-analysis pde

apr 26 at 10:59 Community♦ 1

4

6

votes

0

answers

79

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Visualize Fourth Homotopy Group of $S^2$

general-topology algebraic-topology homotopy-theory knot-theory fiber-bundles

apr 26 at 1:52 Michael Albanese 4,658

5

7

votes

1

answer

99

views

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

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

11

17

votes

2

answers

587

views

Applications of the Jordan-Hölder Theorem.

abstract-algebra group-theory reference-request modules

apr 10 at 8:43 azimut 5,468

14

21

votes

3

answers

359

views

Intuition for the Importance of Modular Forms

number-theory intuition modular-forms

apr 10 at 7:23 Rohit Chatterjee 1

18

31

votes

5

answers

796

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Studying for the Putnam Exam

big-list contest-math self-learning learning

apr 4 at 7:50 zyx 10.9k

4

5

votes

2

answers

256

views

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

mar 27 at 9:20 math110 2,050

5

22

votes

1

answer

252

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Is the Galois group associated to a random polynomial solvable with probability 0?

reference-request finite-groups galois-theory math-history solvable-groups

mar 8 at 21:41 Alexander Gruber 15.1k

2

6

votes

1

answer

121

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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 15.1k

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

4

18

votes

0

answers

259

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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 9,015

2

3

votes

2

answers

117

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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

278

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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

17

40

votes

3

answers

894

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Paul Erdos's Two-Line Functional Analysis Proof

functional-analysis reference-request math-history

feb 15 at 4:12 zyx 10.9k

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 2,920

6

16

votes

2

answers

317

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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 7,515

6

11

votes

1

answer

164

views

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

193

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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 1,037

4

10

votes

2

answers

242

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

reference-request algebraic-geometry schemes characteristic-classes

jan 26 at 20:39 Javier Álvarez 4,784

4

6

votes

1

answer

178

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Origin and use of an identity of formal power series: $\det(1 - \psi T) = \exp \left(-\sum_{s=1}^{\infty} \text{Tr}(\psi^{s})T^{s}/s\right)$

linear-algebra number-theory power-series determinant p-adic-number-theory

jan 19 at 18:46 B.D 2,111

4

11

votes

2

answers

135

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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

1

2

votes

1

answer

87

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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 44.8k

Sanchez

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