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3 questions
8
votes
1
answer
617
views
$\mathbb{Q}$-forms of $\operatorname{SL}_4(\mathbb{R})$ inside $\operatorname{SL}_8(\mathbb{R})$
Let $\mathbf{G}$ be the image of the natural embedding of $\operatorname{SL}_4(\mathbb{R})$ inside $\operatorname{SL}_4(\mathbb{C})\subset \operatorname{SL}_8(\mathbb{R})$. Then $\mathbf{G}$ is an ...
1
vote
0
answers
95
views
Small pants in arithmetic hyperbolic surfaces of high degree
Does the following statement hold:
Statement: For any $\epsilon > 0$, there exist a number field $k$ of degree $d_{\epsilon}$ over $\mathbb{Q}$ and an arithmetic hyperbolic surface $\Gamma$ ...
3
votes
0
answers
386
views
Lie algebra of an elliptic curve
This might be a silly question, and if it has been asked somewhere else, I would appreciate a link; however, I was unable to find it myself.
In this paper by Lauter-Viray (arXiv link), in the proof ...