James Arthur, My Story 2012

James, Arthur

Harpercollins

The representation theory of real reductive groups is still incomplete, in spite of much progress made thus far. The papers in this volume were presented at the AMS-IMS-SIAM Joint Summer Research Conference ``Representation Theory of Real Reductive Lie Groups'' held in Snowbird, Utah in June 2006, with the aim of elucidating the problems that remain, as well as explaining what tools have recently become available to solve them. They represent a significant improvement in the exposition of some of the most important (and often least accessible) aspects of the literature. This volume will be of interest to graduate students working in the harmonic analysis and representation theory of Lie groups. It will also appeal to experts working in closely related fields.

Representation Theory of Real Reductive Lie Groups: Ams-ims-siam Joint Summer Research Conference June 4-8, 2006 Snowbird, Utah (Contemporary Mathematics, 472)

Science & Math

Wilfried Schmid

and Peter E. Trapa

Mathematics

Amer Mathematical Society

Within the Langlands program, endoscopy is a fundamental process for relating automorphic representations of one group with those of another. In this book, Arthur establishes an endoscopic classification of automorphic representations of orthogonal and symplectic groups G. The representations are shown to occur in families (known as global L-packets and A-packets), which are parametrized by certain self-dual automorphic representations of an associated general linear group GL(N). The central result is a simple and explicit formula for the multiplicity in the automorphic discrete spectrum of G for any representation in a family. The results of the volume have already had significant applications: to the local Langlands correspondence, the construction of unitary representations, the existence of Whittaker models, the analytic behaviour of Langlands L-functions, the spectral theory of certain locally symmetric spaces, and to new phenomena for symplectic epsilon-factors. One can expect many more. In fact, it is likely that both the results and the techniques of the volume will have applications to almost all sides of the Langlands program. The methods are by comparison of the trace formula of G with its stabilization (and a comparison of the twisted trace formula of GL(N) with its stabilization, which is part of work in progress by Moeglin and Waldspurger). This approach is quite different from methods that are based on L-functions, converse theorems, or the theta correspondence. The comparison of trace formulas in the volume ought to be applicable to a much larger class of groups. Any extension at all will have further important implications for the Langlands program.

The Endoscopic Classification of Representations (Colloquium Publications) (American Mathermatical Society: Colloquium Publications, 61)

American Mathematical Society

This volume constitutes the proceedings of a conference, "On Certain $L$-functions", held July 23-27, 2007 at Purdue University, West Lafayette, Indiana. The conference was organized in honor of the 60th birthday of Freydoon Shahidi, widely recognized as having made groundbreaking contributions to the Langlands program.  The articles in this volume represent a snapshot of the state of the field from several viewpoints. Contributions illuminate various areas of the study of geometric, analytic, and number theoretic aspects of automorphic forms and their $L$-functions, and both local and global theory are addressed.  Topics discussed in the articles include Langlands functoriality, the Rankin-Selberg method, the Langlands-Shahidi method, motivic Galois groups, Shimura varieties, orbital integrals, representations of $p$-adic groups, Plancherel formula and its consequences, the Gross-Prasad conjecture, and more. The volume also includes an expository article on Shahidi's contributions to the field, which serves as an introduction to the subject.  Experts will find this book a useful reference, and beginning researchers will be able to use it to survey major results in the Langlands program.  Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).

On Certain $L$-Functions (Clay Mathematics Proceedings) (Clay Mathematics Proceedings, 13)

Teaching Citizenship in the Secondary School

Daniel Wright

Routledge

Education Matters: 60 years of the British Journal of Educational Studies (Education Heritage)

Social Literacy, Citizenship Education and the National Curriculum

JON DAVISON

William Stow

Debates in Citizenship Education

Taylor&Francis

The Routledge Companion to Education

Mushrooms and Mankind: The Impact of Mushrooms on Human Consciousness and Religion

<p>For thousands of years, humanity has been involved in a symbiotic relationship with plants. Not only have plants supplied mankind with a never-ending food source, but have also served us in another way. This book uncovers the natural link between man, consciousness, and God. This discovery may at first seem abstract, wishful thinking, or even impossible; yet as evidence presented on these pages unfolds, one may find that its understanding does not require as much of a leap of faith as first thought. The author believes this to be the most significant discovery in the entire field of religious knowledge ever to happen in the history of mankind. Should people explore this knowledge, it may allow many to put aside their differences, and join in the understanding that each and every one of us may now experience that which has been, until this time, hidden away in the recesses of our spiritual history. According to the author, we may at last be able to open ourselves to an entirely new and valuable consciousness.</p>

History

Ancient Civilizations

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