Geodesic
On the reductions of certain two-dimensional crystalline representations
Documenta mathematica, Tome 26 (2021), pp. 1929-1979 Cet article a éte moissonné depuis la source EMS Press

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The question of computing the reductions modulo p of two-dimensional crystalline p-adic Galois representations has been studied extensively, and partial progress has been made for representations that have small weights, very small slopes, or very large slopes. It was conjectured by Breuil, Buzzard, and Emerton that these reductions are irreducible if they have even weight and non-integer slope. We prove some instances of this conjecture for slopes up to 2p−1​.
DOI : 10.4171/dm/861
Classification : 11S20
Mots-clés : irreducible, crystalline, residual, Langlands, slopes 
@article{10_4171_dm_861,
     author = {Bodan Arsovski},
     title = {On the reductions of certain two-dimensional crystalline representations},
     journal = {Documenta mathematica},
     pages = {1929--1979},
     year = {2021},
     volume = {26},
     doi = {10.4171/dm/861},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/861/}
}
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Bodan Arsovski. On the reductions of certain two-dimensional crystalline representations. Documenta mathematica, Tome 26 (2021), pp. 1929-1979. doi: 10.4171/dm/861

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