ISSN 0002-9920 of the American Mathematical Society February 2004 Volume 51, Number 2 Geometrization of 3-Manifolds via the Ricci Flow page 184 RIMS, an Institute for Japan and the World page 194 Los Angeles Meeting page 290 Lawrenceville Meeting page 292 Houston Meeting page 295 Heawood's demonstration of Kempe's error (see page 207) Document conversion between Microsoft™ WORD and LaTeX is easier than watching PING-PONG! Paintwork © 2003 Alex Chikrii. a, rd \i Word2TeX and TeX2Word are either registered trademarks or trademarks of Chikrii Softlab in the United States and/ or other countries. Microsoft, Microsoft Word are either registered trademarks or trademarks of Microsoft Corporation in the United States and/ or other countries. Other product and company names mentioned herein may be trademarks of their respective owners. ~ Chikrii Soft lab ~ http:/jwww.chikrii.com International Mathematics Research Notices Editors Website: http://imrn.hindawi.com Morris Weisfeld IMRN provides very fast publication of research articles of high current interest in all Managing Editor areas of mathematics. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Issues are published as frequently as nec­ Dan Abramovich essary. IMRN is expected to publish 80± issues in volume 2004. The articles of the IMRN are Enrico Arbarello reviewed/indexed in COMPUMATH Citation Index, Current Contents, lSI Alerting Services, Joseph Bernstein Mathematical Reviews, Science Citation Index, SciSearch, and Zentralblatt fUr Mathematik. Enrico Bombieri There are no page charges. Submissions are made by email to [email protected]. Richard E. Borcherds New print subscribers shall receive a free copy of all back volumes, i.e., volumes 1991-2003. Alexei Borodin New and current online subscribers shall receive "perpetual" online access to volumes Jean Bourgain 1991-2004. Contact [email protected] for more details. Marc Burger Tobias Golding FORTHCOMING ARTICLES Corrado DeConcini • Chen Lie Algebras, Stefan Papadima and Alexander I. Suciu PercyDeift • Double affine Heeke algebras of rank 1 and affine cubic surfaces, Alexei Oblomkov Robbert Dijkgraaf • Hypergeometric Theta Functions and Elliptic Macdonald Polynomials, S. K. Donaldson Giovanni Felder and Alexander Varchenko Yakov Eliashberg • Necessary and Sufficient Conditions in the Spectral Theory of Jacobi Matrices and Edward Frenkel Schrodinger Operators, David Damanik, Rowan Killip, and Barry Simon Emmanuel Hebey • Potential Theory of Signed Riesz Kernels: Capacity and Hausdorff Measure, Laura Prat Dennis Hejhal Helmut Hofer • Representations of Wreath Products on Cohomology of De Concini-Procesi Compactifications, Anthony Henderson Gerhard Huisken Yasutaka Ihara • Some Elementary Theorems about Divisibility of 0-Cycles on Abelian Varieties Defined Michio Jimbo over Finite Fields, Helene Esnault Kurt Johansson • The Alexander Module of Links at Infinity, David Cimasoni Masaki Kashiwara • tt* Geometry of Rank 2, Atsushi Takahashi Kiran S. Kedlaya Carlos Kenig Sergiu Klainerman Toshiyuki Kobayashi Applied Mathelllatics Maxim Kontsevich Igor Krichever Shigeo Kusuoka Research express Gilles Lebeau Joachim Lohkamp Website: http://amrx.hindawi.com Nikolai Makarov AMRX provides very fast publication of research articles of high current in­ Yu. I. Manin terest dealing with the use of mathematics in all other areas of knowledge Barry Mazur usually in the form of mathematical/computational models and algorithms. Haynes Miller There are no restrictions on length and illustrations can be in color. Submis­ Shinichi Mochizuki sions are made by email to [email protected]. Fabien Morel Editors: Morris Weisfeld (Editor-in-Chief), A. Bertozzi, K. Bhattacharya, Michael Rapoport D. Cai, R. Carmona, J.-M. Caron, J. Demmel, A. DeSimone, Q. Du, Weinan E, N. Yu. Reshetikhin L. C. Evans, G. Friesecke, J. Glimm, A. Guionnet, P. Holmes, T. Y. Hou, J. Jost, Igor Rodnianski J. Keating, C. Le Bris, M. Ledoux, P. Maini, B. Mishra, S. Muller, R. L. Pego, Peter Sarnak B. Sturmfels, X.-P. Wang, H. Weitzner, H.-T. Yau, P. Zhang. Freydoon Shahidi Stanislav Smirnov Recently Published Articles: Michael Struwe • Ginzburg-Landau Vortices for Thin Ferromagnetic Films, Roger Moser G. Tian • Reconstruction of Distributions by Their Moments and Local Constraints, John Toth V. M. Adamyan, J. Alcober, and I. M. Tkachenko Takeshi Tsuji David Vogan Dan Voiculescu Hindawi Publishing Corporation, 410 Park Avenue, 15th Floor, #287 pmb, New York, Andrei Zelevinsky HINDAWI NY 10022, USA; Fax 1-866-446-3294 (USA, toll-free) Maciej Zworski NEW t6 FORTHCOMING from Birkhauser Geometric Phases in The Geometry of Complex Domains Classical and Quantum R.E. GREENE, UCLA, Los Angeles, 01; K.-T. KIM, Pohang University of Science and Technology, South Korea; and S.G. KRANTZ, Washington University, St. Louis, MO Mechanics D. CHRUSCINSKI and A. JAMiotKOWSKI, both, Nicholas This work examines a rich tapestry of themes and concepts that provides a comprehensive treatment of an Copernicus University, Torun, Poland important area of mathematics, while simultaneously covering a broader area of the geometry of domains in complex space. The text touches upon many important parts of modern mathematics: complex geometry, Several well-established geometric and topological Finsler metrics, Bergman and Kahler geometry, curvatures, differential invariants, boundary asymptotics of methods are used in this work on a beautiful and geometries, group actions, and moduli spaces. The Geometry of Complex Domains can serve as a 'coming of important physical phenomenon known as the 'geomet­ age' book for a graduate student who has completed at least one semester or more of complex analysis, and ric phase.' Going back to the intense interest in this will be most welcomed by analysts and geometers engaged in current research. subject since the mid-1980s and the seminal work of M. Berry and B. Simon, this book examines geometric 2004/APPROX 392 PP., 20 ILLUS./HARDCOVER/$79.95 (TENT.) ISBN O-B176-4139-4 phases, bringing together different physical phenomena BIRKHAUSER ADVANCED TEXTS under a unified mathematical scheme. Throughout the text, material is presented at a level suitable for gradu­ ate students and researchers in applied mathematics imd physics with an understanding of classical and Conformal Groups in Mirrors and Reflections quantum mechanics. The Geometry of Finite Reflection Groups 2004/344 PP., 47 ILLUS./HARDCOVER/$69.95 Geometry and Spin ISBN O-B176-4282-X A.V. BOROVIK, UMIST, Manchester, UK; and A. BOROVIK, PROGRESS IN MATHEMATICAL PHYSICS, VOL. 36 Structures Manchester, UK P. ANGLES, Universite Paul Sabatier, Toulouse, France Mirrors and Reflections is a systematic and elementary Coxeter Matroids Conformal groups play a key role in geometry and spin treatment of finite groups generated by reflections. The structures. This book provides a self-contained approach is based on fundamental geometric consider­ A.V. BOROVIK, UMIST, Manchester, UK; I.M. GELFAND, overview of this important area of mathematical Rutgers University, Piscataway, NJ; and N. WHITE, University ations in Coxeter complexes, and emphasizes the intu­ of Florida, Gainesville, FL physics, beginning with its origins in the works of itive geometric aspects of the theory of reflection Carlan and Chevalley and progressing to recent groups. The exposition is directed at advanced under­ Matroids appear in diverse areas of mathematics, from research in spinors and conformal geometry. All the graduates and first-year graduate students. combinatorics to algebraic topology and geometry. This major aspects of the field are introduced, followed by 2004/APPROX 200 PP./HARDCOVER/$49.95 (TENT.) largely self-contained text provides an intuitive and detailed descriptions and definitions. Rich in exercises ISBN 0-8176-3052-X interdisciplinary treatment of Coxeter matroids , a new that are accompanied by full proofs and many hints, this BIRKHAUSER ADVANCED TEXTS and beautiful generalization of matroids, which is based work will be ideal as a course text or as a self-study vol­ on a finite Coxeter group. Accessible to graduate stu­ ume for senior undergraduates and graduate students. dents and research mathematicians alike, Coxeter Its scope and clarity as a reference will also appeal to Modeling and Matroids can be used as an introductory survey, a grad­ instructors and researchers in mathematics and Computational Methods uate course text, or a reference volume. physics. for Kinetic Equations 2003/264 PP., 65 ILLUS./HARDCOVER/$79.95 2004/APPROX 320 PP., 40 ILLUS./HARDCOVER/$B9.95 (TENT.) ISBN 0-8176-3764-8 ISBN 0-8176-3512-2 P. DEGOND, Universite Paul Sabatier, Toulouse, France; PROGRESS IN MATHEMATICS, VOL. 216 PROGRESS IN MATHEMATICAL PHYSICS L. PARESCHI, Universita di Ferrara, Italy; and G. RUSSO, Universita di Catania, Italy (Eds.) Multiscale Methods in Handbook of New applications in traffic flow engineering, granular media modeling, and polymer and phase transition Quantum Mechanics Computational and physics have resulted in new numerical algorithms that Theory and Experiment Numerical Methods in depart from traditional stochastic Monte-Carlo meth­ P. BLANCHARD, University of Bielefeld, Germany; and ods. This monograph is a self-contained presentation of G. DELL'ANTONIO, Universita di Roma 'La Sapienza', Finance such recently developed aspects of kinetic theory, as Ramo, Italy (Eds.) well as a comprehensive account of the fundamentals S.T. RACHEV, University