L-functions and Galois representations [electronic resource] [E-Book] / edited by David Burns, Kevin Buzzard and Jan Nekovář.
Burns, David, (editor)
Buzzard, Kevin, (editor) / Nekovář, Jan, (editor)
Cambridge : Cambridge University Press, 2007
1 online resource (xi, 563 pages)
London Mathematical Society lecture note series ; 320
Full Text
Table of 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.