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Zbl 1074.11030
Taylor, Richard
Galois representations.
(English)
[J] Ann. Fac. Sci. Toulouse, VI. Sér., Math. 13, No. 1, 73-119 (2004). ISSN 0240-2963

The author states and explains very precisely the most important conjectures in the areas of Galois representations and arithmetic respectively automorphic $L$-functions. This explanation (an expansion of the author's ICM-talk from Beijing) is mainly meant to serve the general mathematical audience as a guideline. Some recent results are outlined in the final chapter.
[Stefan Kühnlein (Karlsruhe)]
MSC 2000:
*11F80 Galois properties
11F70 Representation-theoretic methods in automorphic theory
11S37 Langlands-Weil conjectures, nonabelian class field theory
11-02 Research monographs (number theory)

Keywords: Galois representations; $L$-functions; modularity

Cited in: Zbl 1110.11017 Zbl 1105.11013

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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