Une remarque sur les représentations locales $p$-adiques et les congruences entre formes modulaires de Hilbert

 Access to full text

 Full (PDF)

1. [BR] BLASIUS (D.), ROGAWSKI (J.). — Motives for Hilbert modular forms, Inv. Math., t. 114, 1993, p. 55-87. Zbl0829.11028MR94i:11033
2. [Br1] BREUIL (C.). — Construction de représentations p-adiques semi-stables, Ann. Sci. École Norm. Sup., t. 31, 1998, p. 281-327. Zbl0907.14006MR99k:14034
3. [Br2] BREUIL (C.). — Représentations semi-stables et modules fortement divisibles, Inv. Math., t. 36, 1999, p. 89-122. Zbl0965.14021MR2000c:14024
4. [Ca1] CARAYOL (H.). — Sur les représentations l-adiques associées aux formes modulaires de Hilbert, Ann. Sci. École Norm. Sup., t. 19, 1986, p. 409-468. Zbl0616.10025MR89c:11083
5. [Ca2] CARAYOL (H.). — Formes modulaires et représentations galoisiennes à valeurs dans un anneau local complet, Contemp. Math., t. 165, 1994, p. 213-237. Zbl0812.11036MR95i:11059
6. [Fa] FALTINGS (G.). — Crystalline cohomology and p-adic Galois representations, Algebraic Analysis, Geometry and Number Theory, John Hopkins Univ. Press, 1989, p. 25-79. Zbl0805.14008MR98k:14025
7. [Fo1] FONTAINE (J.-M.). — Représentations p-adiques semi-stables, Astérisque 223, Soc. math. France, 1994, p. 113-184. Zbl0865.14009MR95g:14024
8. [Fo2] FONTAINE (J.-M.). — Deforming semi-stable Galois representations, Proc. Natl. Acad. Sci. USA, t. 94, 1997, p. 11138-11141. Zbl0901.11016MR99a:11064
9. [FL] FONTAINE (J.-M.), LAFFAILLE (G.). — Construction de représentations p-adiques, Ann. Sci. École Norm. Sup., t. 15, 1982, p. 547-608. Zbl0579.14037MR85c:14028
10. [Hi] HIDA (H.). — On the critical values of L-functions of GL (2) and GL (2) x GL(2), Duke Math. J., t. 74, 1994, p. 431-529. Zbl0838.11036MR98f:11043
11. [La] LAFFAILLE (G.). — Groupes p-divisibles et modules filtrés: le cas peu ramifié, Bull. Soc. math. France, t. 108, 1980, p. 187-206. Zbl0453.14021MR82i:14028
12. [Mi] MIYAKE (T.). — On automorphic forms on GL2 and Hecke operators, Ann. of Maths, t. 94, 1971, p. 174-189. Zbl0204.54201MR45 #8607
13. [Sh] SHIMURA (G.). — The special values of the zeta functions associated with Hilbert modular forms, Duke Math. J., t. 45, 1978, p. 637-679. Zbl0394.10015MR80a:10043
14. [Ta1] TAYLOR (R.). — On Galois representations associated to Hilbert modular forms, Inv. Math., t. 98, 1989, p. 265-280. Zbl0705.11031MR90m:11176
15. [Ta2] TAYLOR (R.). — On Galois representations associated to Hilbert modular forms II, Conference on Elliptic curves and modular forms (Hong-Kong 1993), 1995, p. 185-191. Zbl0836.11017MR96j:11073
16. [Ta3] TAYLOR (R.). — Galois representations associated to Siegel modular forms of low weight, Duke Math. J., t. 63, 1991, p. 281-332. Zbl0810.11033MR92j:11044
17. [Ti] TILOUINE (J.). — Galois representations congruent to those coming from Shimura varieties, Proc. Symp. Pure Math., t. 55, 1994, p. 625-638. Zbl0823.11022MR95c:11061
18. [Wi1] WILES (A.). — On p-adic representations for totally real fields, Ann. of Maths, t. 123, 407-456. Zbl0613.12013MR87g:11142
19. [Wi2] WILES (A.). — On ordinary λ-adic representations associated to modular forms, Inv. Math., t. 94, 1988, p. 529-573. Zbl0664.10013MR89j:11051

1. Tong Liu, Torsion p-adic Galois representations and a conjecture of Fontaine
2. Jean-Pierre Wintenberger, La conjecture de modularité de Serre : le cas de conducteur $1$
3. Mladen Dimitrov, Galois representations modulo p and cohomology of Hilbert modular varieties