Asterisque 310 (2006), viii+559 pages
Acheter l'ouvrage
Resume :
Complexes de Selmer
Ce livre construit de nouvelles fondations pour la theorie d'Iwasawa, basees sur une etude systematique d'invariants cohomologiques (vivant dans des categories derivees) pour les grosses representations galoisiennes. On developpe un nouveau formalisme de dualite dont on deduit des accouplements de Cassels-Tate generalises et des hauteurs p-adiques generalisees. Une des applications est un resultat de parite pour les groupes de Selmer attaches aux formes modulaires de Hilbert.
Mots clefs : Theorie d'Iwasawa, groupes de Selmer, grosses representations galoisiennes
Abstract:
This book builds new foundations of Iwasawa theory, based on a systematic study of cohomological invariants of big Galois representations in the framework of derived categories. A new duality formalism is developed, which leads to generalized Cassels-Tate pairings and generalized p-adic height pairings. One of the applications is a parity result for Selmer groups associated to Hilbert modular forms.
Key words: Iwasawa theory, Selmer groups, big Galois representations
Class. math. : 11R23, 11G40, 11F41
ISBN : 978-2-85629-227-3
Summary
With the continued advance of computing power and accessibility, the view
that “real mathematicians don’t compute” no longer has any traction
for a newer generation of mathematicians. The goal in this book is to present
a coherent variety of accessible examples of modern mathematics where intelligent
computing plays a significant role and in so doing to highlight some of
the key algorithms and to teach some of the key experimental approaches.
Details
ISBN: 978-1-56881-271-7
Year: 2007
Format: Hardcover
Pages: 337
Reviews
“Computing is to mathematics as telescope is to astronomy: it might not explain things, but it certainly shows ’what’s out there.’ The authors are expert in the discovery of new mathematical ’planets,’ and this book is a beautifully written expose of their values, their methods, their subject, and their enthusiasm about it. A must read.”
?Prof. Herbert S. Wilf, author of generatingfunctionology
Series: Lecture Notes of the Unione Matematica Italiana , Vol. 3
2007, XXVI, 220 p., Softcover
ISBN: 978-3-540-71482-8
About this book
After publishing an introduction to the Navier?Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author has now revised and polished it into a text accessible to a larger audience.
Written for:
Researchers and graduate students
Keywords:
35-XX, 46-XX, 46B70, 46M35
Sobolev spaces
interpolation spaces
partial differential equations
Table of contents
Copyright: 2008
Format: Cloth; 512 pp
ISBN-10: 0131848690
ISBN-13: 9780131848696
Published: 06/18/2007
Description
For juniors and seniors of various majors, taking a first course in topology.
This book introduces topology as an important and fascinating mathematics discipline. Students learn first the basics of point-set topology, which is enhanced by the real-world application of these concepts to science, economics, and engineering as well as other areas of mathematics. The second half of the book focuses on topics like knots, robotics, and graphs. The text is written in an accessible way for a range of undergraduates to understand the usefulness and importance of the application of topology to other fields.
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Table Of Contents
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0. Introduction
1. Topological Spaces
2. Interior, Closure, and Boundary
3. Creating New Topological Spaces
4. Continuous Functions and Homeomorphisms
5. Metric Spaces
6. Connectedness
7. Compactness
8. Dynamical Systems and Chaos
9. Degree Theory
10. Fixed Points
11. Knot Theory
12. Manifolds
13. Embeddings
14. Graph Theory
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Included in series Handbooks in Finance,
Audience
Researchers and academics in economics and finance
Contents
VOLUME 1 PREFACE: EMPIRICAL CORPORATE FINANCE B. ESPEN ECKBO PART 1 ? ECONOMETRIC ISSUES AND METHODOLGICAL TRENDS Chapter 1 Econometrics of event studies S.P. KOTHARI and JEROLD B. WARNER Chapter 2 Self-selection models in corporate finance KAI LI and NAGPURNANAND R. PRABHALA Chapter 3 Auctions in corporate finance SUDIPTO DASGUPTA and ROBERT G. HANSEN Chapter 4 Behavioral corporate finance MALCOLM BAKER, RICHARD S. RUBACK and JEFFERY WURGLER PART 2 ? BANKING, PUBLIC OFFERINGS, AND PRIVATE SOURCES OF CAPITAL Chapter 5 Banks in capital markets STEVEN DRUCKER and MANJU PURI Chapter 6 Security Offerings B. ESPEN ECKBO, RONALD W. MASULIS and ?YVIND NORLI Chapter 7 IPO underpricing ALEXANDER LJUNGQVIST Chapter 8 Conglomerate firms and internal capital markets VOJISLAV MAKSIMOVIC and GORDON PHILLIPS Chapter 9 Venture capital PAUL GOMPERS EMPIRICAL CORPORATE FINANCE
Bibliographic & ordering Information
Hardbound, 558 pages, publication date: APR-2007
ISBN-13: 978-0-444-50898-0