Edited by: Dominique Arlettaz, Universite de Lausanne, Switzerland,
and Kathryn Hess, Ecole Polytechnique Federale de Lausanne, Switzerland
An Alpine Anthology of Homotopy Theory
Expected publication date is May 6, 2006
Description
The second Arolla conference on algebraic topology brought
together specialists covering a wide range of homotopy theory and
K-theory. These proceedings reflect both the variety of talks
given at the conference and the diversity of promising research
directions in homotopy theory. The articles contained in this
volume include significant contributions to classical unstable
homotopy theory, model category theory, equivariant homotopy
theory, and the homotopy theory of fusion systems, as well as to
K-theory of both local fields and C^*-algebras.
Readership
Graduate students and research mathematicians interested in
alebraic topology.
Contents
G. Arone -- A note on the homology of Sigma_n, the Schwartz
genus, and solving polynomial equations
C. Broto, R. Levi, and B. Oliver -- A geometric construction of
saturated fusion systems
C. Casacuberta and B. Chorny -- The orthogonal subcategory
problem in homotopy theory
W. Chacholski, W. Pitsch, and J. Scherer -- Homotopy pull-back
squares up to localization
I. Chatterji and G. Mislin -- Traces and reduced group C^*-algebras
A. Clement -- Integral cohomology of 2-local Hopf spaces with at
most two non-trivial finite homotopy groups
B. Gray and S. Theriault -- On the double suspension and the mod-p
Moore space
J. P. C. Greenlees and J.-Ph. Hoffmann -- Rational extended
Mackey functors for the circle group
L. Hesselholt -- On the topological cyclic homology of the
algebraic closure of a local field
M. Joachim and M. W. Johnson -- Realizing Kasparov's KK-theory
groups as the homotopy classes of maps of a Quillen model
category
J. Lin -- Homology commutators and mathcal{P}^1 actions
Details:
Series: Contemporary Mathematics, Volume: 399
Publication Year: 2006
ISBN: 0-8218-3696-X
Paging: 209 pp.
Binding: Softcover
Edited by: Shiferaw Berhanu, Hua Chen, Jorge Hounie, Xiaojun Huang, Sheng-Li Tan,
and Stephen S.-T. Yau
Recent Progress on Some Problems in Several Complex Variables
and Partial Differential Equations
Expected publication date is May 14, 2006
Description
The papers in this volume cover many important topics of current
interest in partial differential equations and several complex
variables. An international group of well-known mathematicians
has contributed original research articles on diverse topics such
as the geometry of complex manifolds, the mean curvature
equation, formal solutions of singular partial differential
equations, and complex vector fields.
The material in this volume is useful for graduate students and
researchers interested in partial differential equations and
several complex variables.
Readership
Graduate students and research mathematicians interested in
partial differential equations and functions in several complex
variables.
Contents
C. Anedda and G. Porru -- Problems on the Monge-Ampere equation
in the plane
A. P. Bergamasco and P. L. D. da Silva -- Global solvability for
a special class of vector fields on the torus
F. Catanese and P. Frediani -- Deformation in the large of some
complex manifolds, II
A. Chau and L.-F. Tam -- Gradient Kahler-Ricci solitons and
complex dynamical systems
H. Chen, Z. Luo, and C. Zhang -- On the summability of formal
solutions for a class of nonlinear singular PDEs with irregular
singularity
Z. Chen and S.-L. Tan -- Upper bounds on the slope of a genus 3
fibration
J.-H. Cheng -- The mean curvature equation in pseudohermitian
geometry
W. M. Eby -- Moment results for the Heisenberg group interpreted
using the Weyl calculus
N. Gan and X.-Y. Zhou -- The cohomology of vector bundles on
general non-primary Hopf manifolds
H. Hannah, A. A. Himonas, and G. Petronilho -- Gevrey regularity
in time for generalized KdV type equations
J. Hounie and E. Lanconelli -- An Alexandrov type theorem for
Reinhardt domains of mathbb{C}^2
L. Lei, G. Wang, and L. Zhang -- The quantitative estimate of
unique continuation and the cost of approximate controllability
for coupled parabolic systems
H. S. Luk, S. S.-T. Yau, and W. Zang -- Complete invariant of a
family of strongly pseudoconvex domain in A_1-singularity:
Bergman function
G. A. Mendoza -- Anisotropic blowup and compactification
A. Meziani -- Planar complex vector fields and infinitesimal
bendings of surfaces with nonnegative curvature
S.-K. Yeung -- Bergman metric on Teichmuller spaces and moduli
spaces of curves
Details:
Series: Contemporary Mathematics, Volume: 400
Publication Year: 2006
ISBN: 0-8218-3921-7
Paging: approx. 215 pp.
Binding: Softcover
Sen-Zhong Huang, Universitat Rostock, Germany
Gradient Inequalities:
with Applications to Asymptotic Behavior and Stability of Gradient-like
Systems
Expected publication date is June 2, 2006
Description
This book presents a survey of the relatively new research field
of gradient inequalities and their applications. The exposition
emphasizes the powerful applications of gradient inequalities in
studying asymptotic behavior and stability of gradient-like
dynamical systems. It explains in-depth how gradient inequalities
are established and how they can be used to prove convergence and
stability of solutions to gradient-like systems. This book will
serve as an introduction for further studies of gradient
inequalities and their applications in other fields, such as
geometry and computer sciences.
This book is written for advanced graduate students, researchers
and applied mathematicians interested in dynamical systems and
mathematical modeling.
Readership
Graduate students and research mathematicans interested in
dynamical systems and PDEs.
Contents
Introduction and overview of the results
Gradient inequality
Abstract convergence results
Applications to semilinear gradient-like systems in Hilbert
spaces
Applications to the stability problem
Bibliography
Index
Details:
Series: Mathematical Surveys and Monographs, Volume: 126
Publication Year: 2006
ISBN: 0-8218-4070-3
Paging: approx. 190 pp.
Binding: Hardcover
V. V. Prasolov, Independent University of Moscow, Russia
Elements of Combinatorial and Differential Topology
Expected publication date is July 6, 2006
Description
Modern topology uses very diverse methods. This book is devoted
largely to methods of combinatorial topology, which reduce the
study of topological spaces to investigations of their partitions
into elementary sets, and to methods of differential topology,
which deal with smooth manifolds and smooth maps. Many
topological problems can be solved by using either of these two
kinds of methods, combinatorial or differential. In such cases,
both approaches are discussed.
One of the main goals of this book is to advance as far as
possible in the study of the properties of topological spaces (especially
manifolds) without employing complicated techniques. This
distinguishes it from the majority of other books on topology.
The book contains many problems; almost all of them are supplied
with hints or complete solutions.
Readership
Advanced undergraduates and graduate students interested in
combinatorial and differential topology.
Contents
Graphs
Topology in Euclidean space
Topological spaces
Two-dimensional surfaces, coverings, bundles, and homotopy groups
Manifolds
Fundamental groups
Hints and solutions
Bibliography
Index
Details:
Series: Graduate Studies in Mathematics, Volume: 74
Publication Year: 2006
ISBN: 0-8218-3809-1
Paging: approx. 342 pp.
Binding: Hardcover