no. 8
Théorie des nombres
A counterexample to an optimistic guess about étale local systems
Lawrence, Brian1  ; Li, Shizhang2
1 University of California, Los Angeles, USA.
2 University of Michigan, USA.
Comptes Rendus. Mathématique, Tome 359 (2021) no. 8, pp. 923-924.
Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/crmath.229
Lawrence, Brian 1 ; Li, Shizhang 2

1 University of California, Los Angeles, USA.
2 University of Michigan, USA. 
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     title = {A counterexample to an optimistic guess about \'etale local systems},
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Lawrence, Brian; Li, Shizhang. A counterexample to an optimistic guess about étale local systems. Comptes Rendus. Mathématique, Tome 359 (2021) no. 8, pp. 923-924. doi : 10.5802/crmath.229. http://www.numdam.org/articles/10.5802/crmath.229/

[1] Berger, Laurent Représentations p-adiques et équations différentielles, Invent. Math., Volume 148 (2002) no. 2, pp. 219-284 | MR | Zbl

[2] Fontaine, Jean-Marc; Ouyang, Yi Theory of p-adic Galois Representations, 2008 (preprint, available at https://www.math.u-psud.fr/~fontaine/galoisrep.pdf)

[3] Liu, Ruochuan; Zhu, Xinwen Rigidity and a Riemann–Hilbert correspondence for p-adic local systems, Invent. Math., Volume 207 (2017) no. 1, pp. 291-343 | MR | Zbl

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