User Nicole - Mathematics Stack Exchange

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visits	member for	2 years, 5 months
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	950 reputation	bio	website		visits	member for	2 years, 5 months
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How does one see Hecke Operators as helping to generalize Quadratic Reciprocity?

may 10 '12 at 4:05 Matt E 57.5k

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2

answers

1

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In what sense is Taniyama-Shimura the $n=2$ case of Langlands?

number-theory modular-forms

dec 25 '11 at 16:25 Srivatsan 15.6k

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votes

3

answers

382

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Is $\bar{\mathbb{Q}}(x)\cap \mathbb{Q}((x))=\mathbb{Q}(x)$? [unsolved (even though we earlier thought it was)]

abstract-algebra number-theory field-theory

feb 14 '12 at 17:47 Pierre-Yves Gaillard 8,477

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13

votes

2

answers

466

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Different formulations of Class Field Theory

algebraic-number-theory

may 25 '11 at 12:37 ogerard 823

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11

votes

2

answers

243

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Why is $O_K\otimes \mathbb{Z}_p\cong \oplus_{\mathfrak{p}|p}O_{K,\mathfrak{p}}$?

abstract-algebra number-theory commutative-algebra p-adic-number-theory

may 19 '12 at 9:12 Makoto Kato 11.3k

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10

votes

1

answer

839

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What is the intuition behind the concept of Tate twists?

number-theory algebraic-geometry intuition

sep 24 '11 at 4:43 Matt E 57.5k

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9

votes

1

answer

385

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Interpretations of the first cohomology group

group-theory group-cohomology

dec 27 '11 at 22:15 mt_ 3,978

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8

votes

1

answer

144

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Is $\operatorname{Gal}(\mathbb{Q}_p^{un})\cong \hat{\mathbb{Z}}$?

number-theory algebraic-geometry field-theory galois-theory

may 28 '12 at 2:16 Michael Hardy 47.6k

6

votes

3

answers

199

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How can one deduce quadratic reciprocity from Hilbert reciprocity?

number-theory quadratic-reciprocity

nov 2 '11 at 8:24 zyx 10.9k

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5

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153

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Silly question about weakly modular functions

number-theory modular-forms

aug 3 '11 at 21:41 Qiaochu Yuan 117k

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5

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1

answer

173

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Does the Langlands program preserve CFT's distinction between local and global theories?

number-theory

jan 30 '11 at 1:56 Pete L. Clark 44.3k

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4

votes

1

answer

109

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Question about non-positive Stochastic processes

stochastic-processes

may 8 at 20:10 Byron Schmuland 15.3k

2

4

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0

answers

104

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About the isomorphism $\operatorname{Br}(\mathbb{Q}_p)\cong \mathbb{Q}/\mathbb{Z}$

number-theory

oct 31 '11 at 0:12 Nicole 950

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votes

1

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106

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Is an unramified cover of the p-adics determined by its degree?

number-theory field-theory galois-theory

dec 21 '10 at 22:05 Zarrax 19.6k

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3

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141

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A few questions about $\mathbb{Q}$-models of modular curves (curves given by congruence groups)

number-theory modular-forms

nov 22 at 17:02 David Loeffler 2,828

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3

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103

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What are the sections of $\mathbb{C}\rightarrow \mathbb{C}[[x,y]]^{alg}[\frac{1}{xy}]$?

algebraic-geometry commutative-algebra

jul 22 '11 at 19:27 David Speyer 18.5k

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2

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0

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56

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For a $G$-module $A$ is there a maximal subgroup $H$ of $G$ such that the image $H^2(G,A)\rightarrow H^2(H,A)=0$?

group-theory group-cohomology

jan 23 '12 at 3:35 Nicole 950

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votes

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63

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How could $Y(1)$ be the quotient of the upper half plane?

number-theory modular-forms

oct 29 '11 at 3:03 Grumpy Parsnip 9,444

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Is it true that $\forall G\leq Aut(\mathbb{P}^1)=PGL_2(\mathbb{C})$ the map $\mathbb{P}^1\rightarrow \mathbb{P}^1/G$ is defined over $\mathbb{Q}$?

number-theory group-theory algebraic-geometry galois-theory

sep 3 '11 at 12:26 Nicole 950

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104

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What is $\operatorname{Aut}(\operatorname{PSL}_2(\mathbb{F}_q))$? [duplicate]

group-theory finite-groups

sep 1 '11 at 22:44 Michael Hardy 47.6k

2

votes

0

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96

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What is the definition of the Euler characteristic of a stack?

algebraic-geometry

aug 31 '11 at 13:29 Michael Hardy 47.6k

Nicole

21 Questions