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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

9 votes
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Bounding $p$-adic characters and Jacquet-Langlands transfert

First some remarks on the Jacquet-Langlands correspondence. The image of the local Jacquet-Langlands transfer $\mathrm{JL}$ from $G$, the group of units in a non-split quaternion algebra, to $\mathrm{ …
Judith Ludwig's user avatar
9 votes
1 answer
615 views

abelianization of adelic points of an algebraic group

Let $G$ be a connected reductive group defined over a number field $K$ and $G^{der}$ its derived subgroup. Let $\mathbb{A}_K$ denote the adeles of $K$. Then for $G=GL_n$ we have $[GL_n(\mathbb{A}_K) …