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Results tagged with nt.number-theory
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user 10580
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
5
votes
1
answer
606
views
Hodge-Tate decomposition for formal groups
Hi All,
Where can I find a proof of the Hodge-Tate decomposition for Lubin-Tate formal
groups?
Thanks!
- 647
7
votes
1
answer
443
views
strong approximation and one-dimensional automorphic representations
Hi,
Let $D$ be a quaternion algebra over $\mathbf Q$ such that $D\otimes\mathbf R = M_2(\mathbf R)$.
Let $\pi = \pi_\infty \otimes_p \pi_p$ be an irreducible automorphic representation of $D^\times$ …
- 647
4
votes
0
answers
1k
views
level structures and moduli of abelian varieties
Hello,
In the definition of level structure of level $n$ for an elliptic curve $A$, there are two versions:
an isomorphism of group schemes $(\mathbf Z/n\mathbf Z)^2 \to A[n]$.
an isomorhpism of gr …
- 647
8
votes
1
answer
992
views
Is the Galois x Hecke action on cohomology of Shimura varieties semi-simple?
Given a reductive group $G/\mathbf Q$ (+ additional data), and a compact open subgroup $K\subset G(\mathbf A^\infty)$, there is a standard construction that produces a Shimura variety $S$ and if we ch …
- 647
5
votes
0
answers
832
views
Motivic Galois group and Shimura varieties
Hi,
Suppose that one has a Shimura variety $Sh(G,X)$ where $(G,X)$ is the corresponding Shimura datum and suppose that it can be interpreted as a moduli space of motives (e.g. PEL type Shimura variet …
- 647