Timeline for $\mathrm{mod}\:p$ Galois representation with respect to Zariski topology
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 22, 2020 at 17:27 | vote | accept | CommunityBot | ||
| Aug 22, 2020 at 10:02 | vote | accept | CommunityBot | ||
| Aug 22, 2020 at 17:25 | |||||
| Aug 21, 2020 at 19:08 | answer | added | Will Sawin | timeline score: 7 | |
| Aug 21, 2020 at 16:30 | comment | added | Jef | Suppose we consider the case $n=1$. Then such a representation is automatically semisimple, and it is continuous if and only if its kernel is a closed subgroup of $G$. So I think one can construct such an example if one can construct an infinite Galois extension of number fields $E/F$ such that $\Gal(E/F)$ is isomorphic to a subgroup of $\bar{\mathbb{F}_p}^{\times}. Although I'm not sure how to construct such an extension or whether such an extension exists. | |
| Aug 21, 2020 at 14:21 | history | asked | user145520 | CC BY-SA 4.0 |