Invariant $L$ et série spéciale p-adique

 Access to full text

 Full (PDF)

1. [1] Barthel L., Livné R., Modular representations of ${\mathrm{GL}}_2$ of a local field: the ordinary, unramified case, J. Number Theory55 (1995) 1-27. Zbl0841.11026MR1361556
2. [2] Barthel L., Livné R., Irreducible modular representations of ${\mathrm{GL}}_2$ of a local field, Duke Math. J.75 (1994) 261-292. Zbl0826.22019MR1290194
3. [3] Bertolini M., Darmon H., Iovita A., Spiess M., Teitelbaum's exceptional zero conjecture in the anticyclotomic setting, Amer. J. Math.124 (2002) 411-449. Zbl1079.11036MR1890998
4. [4] Breuil C., Intégration p-adique, in: Séminaire Bourbaki 860, Astérisque, vol. 266, 2000, pp. 319-350. Zbl1015.11028MR1772678
5. [5] Breuil C., p-adic Hodge theory, deformations and local Langlands, cours au C.R.M. de Barcelone, juillet 2001, disponible à l'adresse, http://www.math.u-psud.fr/~breuil/. 
6. [6] Breuil C., Sur quelques représentations modulaires et p-adiques de ${\mathrm{GL}}_2\left(Q_p\right)$ I, Comp. Math.138 (2003) 165-188. Zbl1044.11041MR2018825
7. [7] Breuil C., Sur quelques représentations modulaires et p-adiques de ${\mathrm{GL}}_2\left(Q_p\right)$ II, J. Institut Math. Jussieu2 (2003) 23-58. Zbl1165.11319MR1955206
8. [8] Breuil C., Série spéciale p-adique et cohomologie étale complétée, prépublication I.H.É.S., 2003, disponible à l'adresse, http://www.ihes.fr/~breuil/publications.html. 
9. [9] Breuil C., Mézard A., Multiplicités modulaires et représentations de ${\mathrm{GL}}_2\left(Z_p\right)$ et de $\mathrm{Gal}({\overline{Q}}_p/Q_p)$ en $\ell =p$, Duke Math. J.115 (2002) 205-310. Zbl1042.11030MR1944572
10. [10] Coleman R., A p-adic Shimura isomorphism and p-adic periods of modular forms, Contemp. Math.165 (1994) 21-51. Zbl0838.11033MR1279600
11. [11] Colmez P., Fontaine J.-M., Construction des représentations p-adiques semi-stables, Invent. Math.140 (2000) 1-43. Zbl1010.14004MR1779803
12. [12] Deligne P., Formes modulaires et représentations de ${\mathrm{GL}}_2$, in: Modular Functions of One Variable II, Lecture Notes, vol. 349, 1973, pp. 55-105. Zbl0271.10032MR347738
13. [13] Deligne P., Serre J.-P., Formes modulaires de poids 1, Ann. Sci. E.N.S.7 (1974) 507-530. Zbl0321.10026MR379379
14. [14] Emerton M., On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms, prépublication 2003. 
15. [15] Féaux de Lacroix C.T., Einige Resultate über die topologischen Darstellungen p-adischer Liegruppen auf unendlich dimensionalen Vektorräumen über einem p-adischen Körper, in: Schriftenreihe Math. Univ. Münster, 3. Serie, Heft 23, 1999, pp. 1-111. Zbl0963.22009MR1691735
16. [16] Fontaine J.-M., Représentations ℓ-adiques potentiellement semi-stables, in: Astérisque, vol. 223, Soc. Math. France, 1994, pp. 321-347. Zbl0873.14020MR1293977
17. [17] Grosse-Klönne E., Integral structures in automorphic line bundles on the p-adic upper half plane, Math. Annalen329 (2004) 463-493. Zbl1087.11029MR2127986
18. [18] Iovita A., Spiess M., Derivatives of p-adic L-functions, Heegner cycles and monodromy modules attached to modular forms, Invent. Math.154 (2003) 333-384. Zbl1099.11032MR2013784
19. [19] Mazur B., On monodromy invariants occurring in global arithmetic, and Fontaine's theory, in: Contemp. Math., vol. 165, 1994, pp. 1-20. Zbl0846.11039MR1279599
20. [20] Mazur B., Tate J., Teitelbaum J., On p-adic analogues of the conjectures of Birch and Swinnerton–Dyer, Invent. Math.84 (1986) 1-48. Zbl0699.14028MR830037
21. [21] Morita Y., A p-adic theory of hyperfunctions I, Publ. R.I.M.S.17 (1981) 1-24. Zbl0457.12010MR613933
22. [22] Morita Y., Analytic representations of ${\mathrm{SL}}_2$ over a $p$-adic number field II, in: Prog. Math., vol. 46, Birkhäuser, 1984, pp. 282-297. Zbl0549.22008MR763019
23. [23] Saito T., Modular forms and p-adic Hodge theory, Invent. Math.129 (1997) 607-620. Zbl0877.11034MR1465337
24. [24] Schneider P., Nonarchimedean Functional Analysis, Springer-Verlag, 2001. Zbl0998.46044MR1869547
25. [25] Schneider P., Teitelbaum J., Locally analytic distributions and p-adic representation theory, with applications to ${\mathrm{GL}}_2$, J. Amer. Math. Soc.15 (2002) 443-468. Zbl1028.11071MR1887640
26. [26] Schneider P., Teitelbaum J., $U\left(g\right)$-finite locally analytic representations, Representation Theory5 (2001) 111-128. Zbl1028.17007MR1835001
27. [27] Schneider P., Teitelbaum J., Banach space representations and Iwasawa theory, Israel J. Math.127 (2002) 359-380. Zbl1006.46053MR1900706
28. [28] Schneider P., Teitelbaum J., p-adic boundary values, in: Astérisque, vol. 278, Soc. Math. France, 2002, pp. 51-125. Zbl1051.14024MR1922824
29. [29] Schneider P., Teitelbaum J., Algebras of p-adic distributions and admissible representations, Invent. Math.153 (2003) 145-196. Zbl1028.11070MR1990669
30. [30] de Shalit E., Eichler cohomology and periods of modular forms on p-adic Schottky groups, J. Reine Angew. Math.400 (1989) 3-31. Zbl0674.14031MR1013723
31. [31] Shimura G., Introduction to the Arithmetic Theory of Automorphic Functions, Princeton University Press, Mathematical Society of Japan. Zbl0221.10029MR1291394
32. [32] Teitelbaum J., Values of p-adic L-functions and a p-adic Poisson kernel, Invent. Math.101 (1990) 395-410. Zbl0731.11065MR1062968
33. [33] Teitelbaum J., Modular representations of ${\mathrm{PGL}}_2$ and automorphic forms for Shimura curves, Invent. Math.113 (1993) 561-580. Zbl0806.11027MR1231837
34. [34] Vignéras M.-F., Arithmétique des algèbres de quaternions, Lecture Notes in Math., vol. 800, Springer, 1980. Zbl0422.12008MR580949

1. Ruochuan Liu, Bingyong Xie, Yuancao Zhang, Locally analytic vectors of unitary principal series of ${\mathrm{GL}}_2\left({\mathbb{Q}}_p\right)$
2. Elmar Grosse-Klönne, Sheaves of bounded p-adic logarithmic differential forms
3. Benjamin Schraen, Représentations localement analytiques de ${\mathrm{GL}}_3\left({\mathbb{Q}}_p\right)$