Edited by: James Eells, Cambridge, England, Etienne Ghys, Ecole Normale Superieure de Lyon, France, Mikhail Lyubich, SUNY at Stony Brook, NY, Jacob Palis, IMPA, Rio de Janeiro, Brazil, and Jose Seade, UNAM, Mexico City, Mexico

Geometry and Dynamics

Expected publication date is November 27, 2005

Description

This volume is based on talks given at the Conference in Honor of the 60th Anniversary of Alberto Verjovsky, a prominent mathematician in Latin America who made significant contributions to dynamical systems, geometry, and topology. Articles in the book present recent work in these areas and are suitable for graduate students and research mathematicians.

Contents

A. Avila and C. G. Moreira -- Phase-parameter relation and sharp statistical properties for general families of unimodal maps
N. M. Atakishiyev and A. U. Klimyk -- Hamiltonian operators in noncommutative world
O. Baues and W. M. Goldman -- Is the deformation space of complete affine structures on the 2-torus smooth?
M. Brunella -- Some remarks on parabolic foliations
A. Douady -- Geometria y dinamica en el complemento de un compacto en mathbb{C}
C. D. Hill and E. Porten -- The H-principle and pseudoconcave CR manifolds
G. Hinojosa -- Wild knots as limit sets of Kleinian groups
C. Kapoudjian and V. Sergiescu -- An extension of the Burau representation to a mapping class group associated to Thompson's group T
F. Loray -- Sur les theoremes I et II de Painleve
G. P. Paternain and J. Petean -- On the growth rate of contractible closed geodesics on reducible manifolds
Program

Details:

Series: Contemporary Mathematics, Volume: 389
Publication Year: 2005
ISBN: 0-8218-3851-2
Paging: 200 pp.
Binding: Softcover

Edited by: Thierry Passot, CNRS, Nice, France, Catherine Sulem, University of Toronto, ON, Canada, and Pierre-Louis Sulem, Observatoire de la Cote d'Azur, Nice, France

Topics in Kinetic Theory

Expected publication date is December 31, 2005

Description

This book covers a variety of topics related to kinetic theory in neutral gases and magnetized plasmas, with extensions to other systems such as quantum plasmas and granular flows. A comprehensive presentation is given for the Boltzmann equations and other kinetic equations for a neutral gas, together with the derivations of compressible and incompressible fluid dynamical systems, and their rigorous justification. Several contributions are devoted to collisionless magnetized plasmas. Rigorous results concerning the well-posedness of the Vlasov-Maxwell system are presented. Special interest is devoted to asymptotic regimes where the scales of variation of the electromagnetic field are clearly separated from those associated with the gyromotion of the particles. This volume collects lectures given at the Short Course and Workshop on Kinetic Theory organized at the Fields Institute of Mathematical Sciences in Toronto during the Spring of 2004.

Contents

F. Golse and C. D. Levermore -- Hydrodynamic limits of kinetic models
R. T. Glassey -- Collisionless plasmas and the Vlasov Maxwell system
Y. Elskens -- Irreversible behaviours in Vlasov equation and many-body Hamiltonian dynamics: Landau damping, chaos and granularity
P. L. Sulem -- Introduction to the guiding center theory
A. J. Brizard -- Variational formulations of exact and reduced Vlasov-Maxwell equations
H. Qin -- A short introduction to general gyrokinetic theory
W. M. Tang -- Introduction to gyrokinetic theory with applications in magnetic confinement research in plasma physics
T. Passot -- From kinetic to fluid descriptions of plasmas
A. I. Smolyakov, M. Yagi, and J. D. Callen -- Nonlocal closures in long mean free path regimes
G. Manfredi -- How to model quantum plasmas
I. Goldhirsch -- Inelastic kinetic theory: The granular gas

Details:

Series: Fields Institute Communications, Volume: 46
Publication Year: 2005
ISBN: 0-8218-3723-0
Paging: approximately 320 pp.
Binding: Hardcover

Edited by: Hans U. Boden, Ian Hambleton, and Andrew J. Nicas, McMaster University, Hamilton, ON, Canada, and B. Doug Park, University of Waterloo, ON, Canada

Geometry and Topology of Manifolds

Expected publication date is January 4, 2006

Description

This book contains expository papers that give an up-to-date account of recent developments and open problems in the geometry and topology of manifolds, along with several research articles that present new results appearing in published form for the first time. The unifying theme is the problem of understanding manifolds in low dimensions, notably in dimensions three and four, and the techniques include algebraic topology, surgery theory, Donaldson and Seiberg-Witten gauge theory, Heegaard Floer homology, contact and symplectic geometry, and Gromov-Witten invariants. The articles collected for this volume were contributed by participants of the Conference "Geometry and Topology of Manifolds" held at McMaster University on May 14-18, 2004 and are representative of the many excellent talks delivered at the conference.

Contents

S. Akbulut and S. Durusoy -- An involution acting nontrivially on Heegaard-Floer homology
W. Chen -- Pseudoholomorphic curves in four-orbifolds and some applications
O. Collin -- Floer homology for knots and 3-manifolds and cyclic Dehn surgeries along knots
C. L. Curtis -- A PSL_2(mathbb{C}) Casson invariant
J. F. Davis -- The Borel/Novikov conjectures and stable diffeomorphisms of 4-manifolds
T. Ekholm and J. B. Etnyre -- Invariants of knots, embeddings and immersions via contact geometry
P. M. N. Feehan and T. G. Leness -- SO(3)-monopoles: The overlap problem
S. Jabuka and T. Mark -- Heegaard Floer homology of mapping tori II
V. S. Krushkal -- Surfaces in 4-manifolds and the surgery conjecture
J. Lee and T. H. Parker -- Symplectic gluing and family Gromov-Witten invariants
Y.-J. Lee -- Heegaard splittings and Seiberg-Witten monopoles
T.-J. Li -- Existence of symplectic surfaces
A. Nemethi -- On the Heegaard Floer homology of S^3_{-d}(K) and unicuspidal rational plane curves
M. Niepel -- Examples of symplectic 4-manifolds with positive signature
B. Owens and S. Strle -- Definite manifolds bounded by rational homology three spheres
P. Ozsvath and Z. Szabo -- On Park's exotic smooth four-manifolds
J. Rasmussen -- Knot polynomials and knot homologies
D. Ruberman and N. Saveliev -- Casson-type invariants in dimension four
S. Schack and X. Zhang -- Culler-Shalen norms and invariant trace fields
L. R. Taylor -- Complex spin structures on 3-manifolds
M. Usher -- Lefschetz fibrations and pseudoholomorphic curves
S. Vidussi -- The isotopy problem for symplectic 4-manifolds

Details:

Series: Fields Institute Communications, Volume: 47
Publication Year: 2005
ISBN: 0-8218-3724-9
Paging: 347 pp.
Binding: Hardcover

Edited by: M. V. Karasev, Moscow Institute of Electronics and Mathematics, Russia

Quantum Algebras and Poisson Geometry in Mathematical Physics

Expected publication date is December 21, 2005

Description

This collection presents new and interesting applications of Poisson geometry to some fundamental well-known problems in mathematical physics. In addition to advanced Poisson geometry, the methods used by the authors include unexpected algebras with non-Lie commutation relations, nontrivial (quantum) Kahlerian structures of hypergeometric type, dynamical systems theory, semiclassical asymptotics, and more.

The volume is suitable for graduate students and researchers interested in mathematical physics.

Other AMS publications by M. Karasev include Nonlinear Poisson Brackets. Geometry and Quantization, Coherent Transform, Quantization, and Poisson Geometry, and Asymptotic Methods for Wave and Quantum Problems.

Contents

M. Karasev -- Noncommutative algebras, nanostructures, and quantum dynamics generated by resonances
M. Karasev and E. Novikova -- Algebras with polynomial commutation relations for a quantum particle in electric and magnetic fields
Y. Vorobjev -- Poisson structures and linear Euler systems over symplectic manifolds
Y. Vorobjev -- Poisson equivalence over a symplectic leaf

Details:

Series: American Mathematical Society Translations--Series 2, Volume: 216
Publication Year: 2005
ISBN: 0-8218-4040-1
Paging: 277 pp.
Binding: Hardcover

Charles W. Curtis and Irving Reiner

Representation Theory of Finite Groups and Associative Algebras

Expected publication date is January 19, 2006

Description

First published in 1962, this classic book remains a remarkably complete introduction to various aspects of the representation theory of finite groups. One of its main advantages is that the authors went far beyond the standard elementary representation theory, including a masterly treatment of topics such as general non-commutative algebras, Frobenius algebras, representations over non-algebraically closed fields and fields of non-zero characteristic, and integral representations. These and many other subjects are treated extremely thoroughly, starting with basic definitions and results and proceeding to many important and crucial developments. Numerous examples and exercises help the reader of this unsurpassed book to master this important area of mathematics.

Contents

Background from group theory
Representations and modules
Algebraic number theory
Semi-simple rings and group algebras
Group characters
Induced characters
Induced representations
Non-semi-simple rings
Frobenius algebras
Splitting fields and separable algebras
Integral representations
Modular representations
Bibliography
Index

Details:

Series: AMS Chelsea Publishing Publication Year: 1962
ISBN: 0-8218-4066-5
Paging: 689 pp.
Binding: Hardcover

Edited by: Sudhir Ghorpade, Indian Institute of Technology Bombay, Mumbai, India, Hema Srinivasan, University of Missouri, Columbia, MO, and Jugal Verma, Indian Institute of Technology Bombay, Mumbai, India

Commutative Algebra and Algebraic Geometry

Expected publication date is December 10, 2005

Description

The first Joint AMS-India Mathematics Meeting was held in Bangalore (India). This book presents articles written by speakers from a special session on commutative algebra and algebraic geometry. Included are contributions from some leading researchers around the world in this subject area. The volume contains new and original research papers and survey articles suitable for graduate students and researchers interested in commutative algebra and algebraic geometry.

Contents

S. S. Abhyankar and M. Kumar -- Simultaneous surface resolution in quadratic and biquadratic Galois extensions
J. Asadollahi and T. J. Puthenpurakal -- An analogue of a theorem due to Levin and Vasconcelos
R. Basu, R. A. Rao, and R. Khanna -- On Quillen's local global principle
M. Brodmann -- Asymptotic behaviour of cohomology: Tameness, supports and associated primes
W. Bruns -- Conic divisor classes over a normal monoid algebra
S. D. Cutkosky -- Multi-graded algebras associated to surface singularities
A. K. Dutta -- Some results on subalgebras of polynomial algebras
S. Goto, F. Hayasaka, K. Kurano, and Y. Nakamura -- Rees algebras of the second syzygy module of the residue field of a regular local ring
J. N. Iyer -- A note on syzygies of projective varieties
S. Jose and R. A. Rao -- A local global principle for the elementary unimodular vector group
V. Kodiyalam and K. N. Raghavan -- Picture invariants and the isomorphism problem for complex semisimple Lie algebras
C. S. Seshadri -- Geometric reductivity (Mumford's conjecture)-revisited
A. K. Singh and U. Walther -- On the arithmetic rank of certain Segre products
B. Singh -- On a question of Huneke-Jaffe concerning seminormality
V. Trivedi -- Strong semistability and Hilbert-Kunz multiplicity for singular plane curves

Details:

Series: Contemporary Mathematics,Volume: 390
Publication Year: 2005
ISBN: 0-8218-3629-3
Paging: approximately 192 pp.
Binding: Softcover