Name: L-Functions and Galois Representations By David Burns (King's College London)
SKU: 9780521694155
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L-Functions and Galois Representations Summary

L-Functions and Galois Representations by David Burns (King's College London)

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: Boeckle, 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.

About David Burns (King's College London)

David Burns is a Professor in the Department of Mathematics at King's College, London. Kevin Buzzard is Professor of Pure Mathematics at the Imperial College, London. Jan Nekovar is a Professor in the Faculte de Mathematiques at the Universite de Paris VI (Pierre et Marie Curie).

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 Boeckle; 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 Andre-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 Nekovar; 13. Representations irreductibles de GL(2,F ) modulo p Marie-France Vigneras.

Additional information

Sku

NLS9780521694155

ISBN 13

9780521694155

ISBN 10

0521694159

Title

L-Functions and Galois Representations by David Burns (King's College London)

Author

David Burns (King's College London)

Series

London Mathematical Society Lecture Note Series

Condition

New

Binding type

Paperback

Publisher

Cambridge University Press

Year published

2007-12-27

Number of pages

576

Prizes

N/A

Cover note

Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

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This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

L-Functions and Galois Representations David Burns (King's College London)

L-Functions and Galois Representations by David Burns (King's College London)

Summary

L-Functions and Galois Representations Summary

L-Functions and Galois Representations by David Burns (King's College London)

About David Burns (King's College London)

Table of Contents

Additional information

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