Bulletin New Series of the American Mathematical Society 1996: Vol 33 Table of Contents

7 Pages·1996·1.7 MB·English

VOLUME 33
OF THE
AMERICAN MATHEMATICAL SOCIETY
EDITORS
David Eisenbud, Research-Expository Surveys
Haynes R. Miller, Research Reports
Murray H. Protter, Managing Editor
ASSOCIATE EDITORS
John C. Baez Donald Ornstein
Martin D. Davis Kenneth A. Ribet
Jim Douglas, Jr. Daniel Ruberman
Bruce K. Driver Richard Schoen
John Franks David Vogan
Eric Friedlander Nolan R. Wallach
Jens C. Jantzen Alec J. Wilkie
Carlos Kenig Ruth J. Williams
Robert MacPherson Wolfgang Ziller
Barry Mazur
PROVIDENCE, RHODE ISLAND USA
ISSN 0273-0979
Bulletin (New Series) of the American Mathematical Society
This journal is devoted to articles of the following types:
Research-Expository Surveys
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Research Reports
These are brief, timely reports on important mathematical developments. They are
normally solicited and often written by a disinterested expert.
Book Reviews
Book Reviews are accepted for publication by invitation only. Unsolicited manuscripts
will not be considered.
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BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY
CONTENTS
Vol. 33, No. 1 January 1996
Research-Expository Surveys
V. S. Varadarajan, Linear meromorphic differential equations: A modern
I ian 5 Gras hacnwuwned eat Rixkebt cule aus axes urea ate aree l
Kenneth A. Ribet, Erratum to “Galois representations and modular
BEET 40cGnsescecys2040eGeeucddessstehhnenwevenssseceetueeeneen 43
Research Reports
S. K. Donaldson, The Seiberg-Witten equations and 4-manifold topology 45
Book Reviews
Andrew J. Majda (Reviewer), Vorticity and turbulence by Alexandre
ER a Tee ee ee See SEN Ne ae eee Oe. ue coke ome Ye 71
Wilhelm P. A. Klingenberg (Reviewer), Affine differential geometry by
Katsumi Nomizu and Takeshi Sasaki .................0c. c.s. e.e.e 75
Audrey A. Terras (Reviewer), Families of automorphic forms by Roelof W.
I 3.3 0. Pa a eAS.E L es 77
James Rovnyak (Reviewer), Sub-Hardy Hilbert spaces in the unit disk by
EI IE 6 Saeko cePu ss c de nccatwuses Leb awbs ish cy wade keaa eRe ee 81
Daniel W. Stroock (Reviewer), Dirichlet forms & symmetric Markov
processes by M. Fukushima, Y. Oshima, and M. Takeda; Dirichlet forms
by Zhi-Ming Ma and Michael Rockner .....................0eceeeeees 87
Shmuel Weinberger (Reviewer), Algebraic L-theory and topological
SRI TE Pe A. I oo rec ain coy > vannavestteapteo gkap es 93
P. Libermann (Reviewer), Nonlinear Poisson brackets, geometry and
quantization by N. V. Karasev and V. P. Maslov .................... 101
Greg Kuperberg (Reviewer), Quantum invariants of knots and 3-manifolds
Sy We: SED caxntion-cuapdeenym sesaebeunavbacienstelenvetsnebesre 107
Nils A. Baas (Reviewer), Cobordisms and spectral sequences by V. V.
CANES Ee Oe ae Ne NS nee eS teten) eng tarb beeit, Bi) ee Med 111
Pierre Schapira (Reviewer), Hyperfunctions on hypo-analytic manifolds by
Paulo D. Cordaro and Francois Tréves ...............scceeecceeceeess 115
H. I. Freedman (Reviewer), Periodic motions by Miklos Farkas .......... 119
Jay Shapiro (Reviewer), Compatibility, stability and sheaves by J. L. Bueso,
Fy ey SEE. Bi. VORREIIUN un 00.0 abide e'sc ho coe ath CueKnye cals dd cwbhichee 121
Rafe Mazzeo (Reviewer), Heat kernels and Dirac operators by N. Berline,
DRT POT ee TT OTT etT er re elt 125
Charles K. Chui (Reviewer), Wavelets and operators by Yves Meyer; A
friendly guide to wavelets by Gerald Kaiser .....................+-45- 131
Vol. 33, No. 2 April 1996
Research-Expository Surveys
Daniel W. Stroock, Gaussian measures in traditional and not so traditional
NE. cain nubaan Duende ns a0eet nis Oehds Seer er ek cekkakeiencwnmeneos
Daniel Bump, Solomon Friedberg, and Jeffrey Hoffstein, On some
applications of automorphic forms to number theory
Research Reports
Michael Weiss, Calculus of embeddings 177
Dave Benson, Stably splitting BG 189
Book Reviews
Helmut Rohr! (Reviewer), The Riemann-Hilbert problem by D. V. Anosov
and A. A. Bolibruch 199
Chris Cosner (Reviewer), Monotone dynamical systems: An introduction
to the theory of competitive and cooperative systems by Hal L. Smith 203
David Mumford (Reviewer), Variational methods in image segmentation
by Jean-Michel Morel and Sergio Solimini ........................05. 211
R. C. Gunning (Reviewer), Algebraic curves and Riemann surfaces by Rick
Miranda
Yuri V. Egorov (Reviewer), Solution of continuous nonlinear PDEs through
order completion by M.B. Oberguggenberger and E.E. Rosinger ...... 219
Paul S. Muhly (Reviewer), Functional differential equations I: C*-theory
by Anatolij Antonevich and Andrei Lebedev 223
J. Marshall Osborn (Reviewer), Mutations of alternative algebras by
Alberto Elduque and Hyo C. Myung 227
Jill C. Pipher (Reviewer), Harmonic analysis techniques for second order
elliptic boundary value problems by Carlos E. Kenig 229
Albrecht Béttcher (Reviewer), Spectral theory of approximation methods
for convolution equations by Roland Hagen, Steffen Roch, and Bernd
Silbermann
Paul C. Fife (Reviewer), Ginzburg-Landau vortices by F. Bethuel, H. Brezis,
I Os MD ino sc shies dipi nn ned be. henchmae nee
Steven Tschantz (Reviewer), Free lattices by Ralph Freese, Jaroslav Jezek,
a, a SE nck oeeiina ks 8x Roda sea ceanas seer ees cosh an in eked
Joseph H. Silverman (Reviewer), Arithmetic of algebraic curves by Serguei
DEE sibivebosscs acaedudee vewra saeddscee>eeaevbuatinea msat on
Ping Xu (Reviewer), Lectures on the geometry of Poisson manifolds by Izu
MED ec anbunamiabete sss peecessa onset eaebathseseanret tks aeneen oe
A. R. Wadsworth (Reviewer), Quadratic algebras, Clifford algebras, and
arithmetic Witt groups by A. J. Hahn ..........ccccccccccscccctccees
J. M. Ball (Reviewer), Nonlinear problems of elasticity by Stuart S. Antman
Hermann Brunner (Reviewer), Approximation procedures in nonlinear
oscillation theory by Nikolai A. Bobylev, Yuri M. Burman, and
Sergey K. Korovin
Donu Arapura (Reviewer), Shafarevich maps and automorphic forms by
IE «nix wb:d incewe wae aousbickss otln nes wate ooo tard eke e eee 283
Kenneth I. Appel (Reviewer), Graph coloring problems by Tommy R.
SON OE TN TG nn. hes k UT ea ol cin Rees 287
D. Bertrand (Reviewer), Lectures on differential Galois theory by Andy R.
PEE Saco decscsicocctceu cnetoat dodasaneevnessd oehu heene veasn 289
Vol. 33, No. 3 July 1996
Research-Expository Surveys
David Eisenbud, Mark Green, and Joe Harris, Cayley-Bacharach
ee I id cic encins a5 +n 0nnh es wena ween 295
Alan Edelman and Eric Kostlan, Erratum to “How many zeros of a
5 me: cye er ee ey er ee 325
Research Reports
Reyer Sjamaar, Symplectic reduction and Riemann-Roch formulas for
IN so Path no tina's «din Waloed Gore pha e ke Ke telpaleede re ieee ea aed 327
Book Reviews
Jerry L. Kazdan (Reviewer), Riemannian geometry: A modern introduction
Re RN 5 dics ow ewe baba alia hema si aes sda wept a tate ae 339
Jack Feldman (Reviewer), Basic ergodic theory by M. G. Nadkarni ...... 345
George B. Seligman (Reviewer), Lie algebras with triangular decomposi-
tions by Robert V. Moody and Arturo Pianzola ..................... 347
Mark S. Ashbaugh (Reviewer), Introduction to mechanics and symmetry:
A basic exposition of classical mechanical systems by Jerrold E. Marsden
I NE I sdinie vab Foes seed R bs Bans buchocs chalsvcinseeataeewes 351
Alan L. Schwartz (Reviewer), The harmonic analysis of probability
measures on hypergroups by Walter R. Bloom and Herbert Heyer .... 355
Ronald Cools (Reviewer), Lattice methods for multiple integration by
es TE. Cay Sa TN DOW so iibik ve be oi ieiincc ce sbdvswedwesdecutys 363
Mark Green (Reviewer), Commutative algebra with a view toward algebraic
gommantry ty Dwi Tet Sodio ss oes oes 05 i'n ce Maw at s ete Stes 367
Brian Parshall (Reviewer), Schur algebras and representation theory by
I TID £555 x 5s.+ X00 0:0 ie HE a BR G5 506 0 5.0 SO LURE Oe eb ae DEE 371
David K. Arrowsmith (Reviewer), Elements of applied bifurcation theory
SP Re as CN aac eevee sede ve ak bcties theegnathwAaeteadeves 377
Alexander Dynin (Reviewer), The technique of pseudodifferential operators
by H. O. Cordes; Pseudodifferential analysis on symmetric cones by A.
Untesberser and H. Uelniet’ . F085 Peinli ai 381
Francois Lalonde (Reviewer), J-holomorphic curves and quantum
cohomology by Dusa McDuff and Dietmar Salamon .................. 385
Domingo Toledo (Reviewer), Geometric group theory, Vol. 2: Asymptotic
invariants of infinite groups by M. Gromov
Robert Connelly (Reviewer), Combinatorial rigidity by Jack Graver,
Brigitte Servatius, and Herman Servatius
Erwin Kreyszig (Reviewer), Applied functional analysis (Applications to
mathematical physics) by Eberhard Zeidler
James E. Baumgartner (Reviewer), Cardinal arithmetic by Saharon
Shelah
Vol. 33, No. 4 October
Research-Expository Surveys
Stephen Sawin, Links, quantum groups and TQFTs
Research Reports
Winfried Bruns, Tight closure
Book Reviews
Irving Segal (Reviewer), Noncommutative geometry by Alain Connes ....
S. T. Kuroda (Reviewer), Mathematical scattering theory: General theory
by D. R. Yafaev
Joseph Rotman (Reviewer), An introduction to homological algebra by
Charles A. Weibel ...
Lorenzo Robbiano (Reviewer), Grébner Bases: A computational approach
to commutative algebra by Thomas Becker and Volker Weispfenning
(in co-operation with H. Kredel); An introduction to Grébner Bases by
William W. Adams and Philippe Loustaunau
Nick Alikakos (Reviewer), Blow-up in quasilinear parabolic equations
by A.A. Samarski, V.A. Galaktionov, S.P. Kurdyumov, and A.P.
Mikhailov
Ralph Freese (Reviewer), Subgroup lattices of groups by Roland Schmidt
Kenji Matsuki (Reviewer), The adjunction theory of complex projective
varieties by Mauro C. Beltrametti and Andrew J. Sommese
Clark Robinson (Reviewer), Topological theory of dynamical systems by
N. Aoki and K. Hiraide
Alberto Venni (Reviewer), Linear and quasilinear parabolic problems, Vol.
I: Abstract linear theory by Herbert Amann
Roger Cooke (Reviewer), Harmonic analysis, 2nd edition by Henry Helson
Claus Michael Ringel (Reviewer), Representation theory of Artin algebras
by Maurice Auslander, Idun Reiten, and Serre O. Smal@
Floris Takens (Reviewer), Introduction to the modern theory of dynamical
systems by Anatole Katok and Boris Hasselblatt
Michael E. Taylor (Reviewer), Methods of noncommutative analysis by
V. Nazaikinskii, V.Shatalov, and B. Sternin