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\(L\)-functions and Galois representations. Based on the symposium, Durham, UK, July 19–30, 2004. (English) Zbl 1130.11004

London Mathematical Society Lecture Note Series 320. Cambridge: Cambridge University Press (ISBN 978-0-521-69415-5/pbk). xi, 563 p. (2007).

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The articles of this volume will be reviewed individually.
Indexed articles:
Bertolini, Massimo; Darmon, Henri; Dasgupta, Samit, Stark-Heegner points and special value of \(L\)-series, 1-23 [Zbl 1170.11015]
Böckle, Gebhard, Presentations of universal deformation rings, 24-58 [Zbl 1144.11044]
Buzzard, Kevin, Eigenvarieties, 59-120 [Zbl 1230.11054]
Cornut, Christophe; Vatsal, Vinayak, Nontriviality of Rankin-Selberg \(L\)-functions and CM points, 121-186 [Zbl 1153.11025]
Diamond, Fred, A correspondence between representations of local Galois groups and Lie-type groups, 187-206 [Zbl 1230.11069]
Hida, Haruzo, Non-vanishing modulo \(p\) of Hecke \(L\)-values and application, 207-269 [Zbl 1156.11023]
Khare, Chandrashekhar, Serre’s modularity conjecture: a survey of the level one case, 270-299 [Zbl 1171.11034]
Kurihara, Masato; Pollack, Robert, Two \(p\)-adic \(L\)-functions and rational points on elliptic curves with supersingular reduction, 300-332 [Zbl 1148.11029]
Venjakob, Otmar, From the Birch and Swinnerton-Dyer conjecture to non-commutative Iwasawa theory via the equivariant Tamagawa number conjecture – a survey, 333-380 [Zbl 1145.11076]
Yafaev, Andrei, The André-Oort conjecture – a survey, 381-406 [Zbl 1151.14019]
Emerton, Matthew, Locally analytic representation theory of \(p\)-adic reductive groups: a summary of some recent developments, 407-437 [Zbl 1149.22014]
Kisin, Mark, Modularity for some geometric Galois representations. With an appendix by Ofer Gabber., 438-470 [Zbl 1171.11035]
Nekovář, Jan, The Euler system method for CM points on Shimura curves, 471-547 [Zbl 1152.11023]
Vignéras, Marie-France, Irreducible representations of \(\mathrm{GL}(2,F)\) modulo \(p\), 548-563 [Zbl 1172.11017]

MSC:

11-06 Proceedings, conferences, collections, etc. pertaining to number theory
11Fxx Discontinuous groups and automorphic forms
00B25 Proceedings of conferences of miscellaneous specific interest