Title L-functions and Galois representations / edited by David Burns, Kevin Buzzard and Jan Nekovář

Published Cambridge, U.K. ; New York : Cambridge University Press, 2007

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Description 1 online resource (xi, 563 pages) : illustrations Series London Mathematical Society lecture note series ; 320 London Mathematical Society lecture note series ; 320. Contents Stark-Heegner points and special values of L-series / Massimo Bertolini, Henri Darmon, and Samit Dasgupta -- Presentations of universal deformation rings / Gebhard Böckle -- Eigenvarieties / Kevin Buzzard -- Nontriviality of Rankin-Selberg L-functions and CM points / Christophe Cornut and Vinayak Vatsal -- A correspondence between representations of local Galois groups and Lie-type groups / Fred Diamond -- Non-vanishing modulo p of Hecke L-values and application / Haruzo Hida -- Serre's modularity conjecture : a survey of the level one case / Chandrashekhar Khare -- Two p-adic L-functions and rational points on elliptic curves with supersingular reduction / Masato Kurihara and Robert Pollack -- From the Birch and Swinnerton-Dyer Conjecture to non-commutative Iwasawa theory via the Equivalent Tamagawa Number Conjecture : a survey / Otmar Venjakob -- The André-Oort conjecture : a survey / Andrei Yafaev -- Locally analytic representation theory of p-adic reductive groups : a summary of some recent developments / Matthew Emerton -- Modularity for some geometric Galois representations / Mark Kisin ; with an appendix by Ofer Gabber -- The Euler system method for CM points on Shimura curves / Jan Nekovář -- Representations irréductibles de GL(2, F) modulo p / Marie-France Vignéras Summary Timely collection of articles bringing together topics at the forefront of the theory, including the local Langlands programme and automorphic forms Bibliography Includes bibliographical references Notes English Print version record Subject Algebraic fields. Algebraic number theory. L-functions. Galois theory. p-adic numbers. MATHEMATICS -- Number Theory. Algebraic fields Algebraic number theory Galois theory L-functions p-adic numbers Form Electronic book Author Burns, David, 1963- Buzzard, Kevin Nekovář, Jan London Mathematical Society Symposium on L-functions and Galois Representations (2004 : University of Durham) ISBN 9780511721267 0511721269 9781107362918 1107362911 1139882643 9781139882644 1107367824 9781107367821 1107372364 9781107372368 1107368227 9781107368224 1299405428 9781299405424 1107365368 9781107365360

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