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Limits of residually irreducible  -adic Galois representations
Author(s):
Chandrashekhar
Khare
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1999-2006.
MSC (2000):
Primary 11R32, 11R39
Posted:
February 5, 2003
MathSciNet review:
1963742
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Abstract:
In this paper we produce examples of converging sequences of Galois representations, and study some of their properties.
References:
-
- [Ca]
- Carayol, H., Formes modulaires et représentations galoisiennes à valeurs dans un anneau local complet, in
 -adic monodromy and the Birch and Swinnerton-Dyer conjecture, 213-237, Contemp. Math., 165, AMS, 1994. MR 95i:11059 - [FM]
- Fontaine, J.-M., Mazur, B., Geometric Galois representations, Elliptic curves, modular forms, and Fermat's last theorem, Internat. Press, Cambridge (1995), 41-78. MR 96h:11049
- [K]
- Khare, C., On isomorphisms between deformation rings and Hecke rings, preprint available at http://www.math.utah.edu/~ shekhar/papers.html.
- [K1]
- Khare, C., Modularity of
 -adic Galois representations via  -adic approximations, in preparation. - [KhRa]
- Khare, C., Rajan, C. S., The density of ramified primes in semisimple
 -adic Galois representations, International Mathematics Research Notices, no. 12 (2001), 601-607. MR 2002e:11066 - [KR]
- Khare, C., Ramakrishna, R., Finiteness of Selmer groups and deformation rings, preprint available at http://www.math.utah.edu/~ shekhar/papers.html.
- [Ka]
- Katz, N., Higher congruences between modular forms, Annals of Math. 101 (1975), 332-367.
- [R]
- Ramakrishna, R., Infinitely ramified representations, Annals of Mathematics 151 (2000), 793-815. MR 54:5120
- [R1]
- Ramakrishna, R., Deforming Galois representations and the conjectures of Serre and Fontaine-Mazur, to appear in Annals of Math.
- [S1]
- Serre, J-P., Quelques applications du théorème de densité de Chebotarev, Inst. Hautes Études Sci. Publ. Math., no. 54 (1981), 323-401. MR 83k:12011
- [T1]
- Taylor, R., On icosahedral Artin representations II, preprint.
- [TW]
- Taylor, R., Wiles, A., Ring-theoretic properties of certain Hecke algebras, Ann. of Math. (2) 141 (1995), 553-572. MR 96d:11072
- [W]
- Wiles, A., Modular elliptic curves and Fermat's last theorem, Ann. of Math. 141 (1995), 443-551. MR 96d:11071
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Additional Information:
Chandrashekhar
Khare
Affiliation:
Department of Mathematics, University of Utah, 155 S 1400 E, Salt lake City, Utah 84112 -- and -- School of Mathematics, TIFR, Homi Bhabha Road, Mumbai 400 005, India
Email:
shekhar@math.utah.edu, shekhar@math.tifr.res.in
DOI:
10.1090/S0002-9939-03-06955-7
PII:
S 0002-9939(03)06955-7
Received by editor(s):
February 5, 2002
Posted:
February 5, 2003
Communicated by:
David E. Rohrlich
Copyright of article:
Copyright
2003,
American Mathematical Society
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