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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 ...
user avatar
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  $\Gamma$ ...
shurtados's user avatar
  • 1,101
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 ...
Laarz's user avatar
  • 153