L-Functions and Galois Representations (eBook, PDF)

Redaktion: Burns, David

• Format: PDF

Produktbeschreibung

This collection of survey and research articles brings together topics at the forefront of the theory of L-functions and Galois representations. Highlighting important progress in areas such as the local Langlands programme, automorphic forms and Selmer groups, this timely volume treats some of the most exciting recent developments in the field. Included are survey articles from Khare on Serre's conjecture, Yafaev on the Andre-Oort conjecture, Emerton on his theory of Jacquet functors, Venjakob on non-commutative Iwasawa theory and Vigneras on mod p representations of GL(2) over p-adic fields. There are also research articles by: Bockle, Buzzard, Cornut and Vatsal, Diamond, Hida, Kurihara and R. Pollack, Kisin, Nekovar, and Bertolini, Darmon and Dasgupta. Presenting the very latest research on L-functions and Galois representations, this volume is indispensable for researchers in algebraic number theory.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 27. Dezember 2007
• Englisch
• ISBN-13: 9780511893858
• Artikelnr.: 38214878

Inhaltsangabe

Preface; List of participants; 1. Stark-Heegner points and special values
of L-series Massimo Bertolini, Henri Darmon and Samit Dasgupta; 2.
Presentations of universal deformation rings Gebhard Böckle; Eigenvarieties
Kevin Buzzard; 3. Nontriviality of Rankin-Selberg L-functions and CM points
Christophe Cornut and Vinayak Vatsal; 4. A correspondence between
representations of local Galois groups and Lie-type groups Fred Diamond; 5.
Non-vanishing modulo p of Hecke L-values and application Haruzo Hida; 6.
Serre's modularity conjecture: a survey of the level one case
Chandrashekhar Khare; 7. Two p-adic L-functions and rational points on
elliptic curves with supersingular reduction Masato Kurihara and Robert
Pollack; 8. From the Birch and Swinnerton-Dyer Conjecture to
non-commutative Iwasawa theory via the Equivariant Tamagawa Number
Conjecture - a survey Otmar Venjakob; 9. The André-Oort conjecture - a
survey Andrei Yafaev; 10. Locally analytic representation theory of p-adic
reductive groups: a summary of some recent developments Matthew Emerton;
11. Modularity for some geometric Galois representations - with an appendix
by Ofer Gabber Mark Kisin; 12. The Euler system method for CM points on
Shimura curves Jan Neková¿; 13. Représentations irréductibles de GL(2,F )
modulo p Marie-France Vignéras.