L-functions and Galois representations [electronic resource] / edited by David Burns, Kevin Buzzard and Jan Nekovář.

Includes bibliographical references.

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.