ISBN: 978-0-8218-5322-1
Series, Volume: Contemporary Mathematics, Volume 571
Published: 1 July 2012; Copyright Year: 2012; Pages: 276; Softcover;
Number Theory
Readership: Graduate students and research mathematicians interested in number theory, K-theory, and
algebraic geometry.
This volume contains the proceedings of the Regulators III Conference, held from July 12 to July
22, 2010, in Barcelona, Spain.
Regulators can be thought of as realizations from motivic cohomology, which is very difficult to compute,
to more computable theories such as Hodge, Betti, l-adic, and Deligne cohomology. It is a very intricate
subject that thrives on its interaction with algebraic K-theory, arithmetic geometry, number theory, motivic
cohomology, Hodge theory and mathematical physics.
The articles in this volume are a reflection of the various approaches to this subject, such as results on
motivic cohomology, descriptions of regulators, a revisiting of a number of fundamental conjectures (such
as new results pertaining to the Hodge and standard conjectures), and more.
M. Asakura -- Quintic surface of p-adic local fields with infinite p-primary torsion in the Chow group of 0-cycles
A. Beilinson -- A remark on primitive cycles and Fourier-Radon transform
A. Beilinson -- Remarks on Grothendieck's standard conjectures
A. Besser -- On the derivative of a normal function associated with a Deligne cohomology class
J.-L. Colliot-Thelene -- Quelque cas d'annulation du troisieme groupe de cohomologie non ramifiee
F. Deglise -- Coniveau filtration and mixed motives
F. Deglise -- Around the Gysin triangle I
C. Deninger -- Regulators, entropy and infinite determinants
M. Felisatti and F. Neumann -- Secondary theories for etale groupoids
T. Geisser -- Finite generation conjectures for motivic cohomology theories over finite fields
D. Hebert -- Le foncteur de filtration par le poids
R. Joshua -- K-theory and G-theory of DG stacks
A. Del Padrone and C. Pedrini -- Derived categories of coherent sheaves and motives of K3 surfaces
W. Raskind -- Serre-Tate parameters and jacobian inversion for rigid Calabi-Yau 3-folds
A. Rosenschon and V. Srinivas -- An example concerning specialization of torsion subgroups of Chow groups
J. Wildeshaus -- Motivic intersection complex
ISBN: 978-0-8218-6869-0
Series, Volume: Contemporary Mathematics, Volume 572
Published: 15 July 2012; Copyright Year: 2012; Pages: approximately 234; Softcover;
Algebra and Algebraic Geometry
Geometry and Topology
Applications
Readership: Graduate students and research mathematicians interested in computational aspects of algebraic
and analytic geometry.
This volume contains the proceedings of three AMS Special Sessions on Computational
Algebraic and Analytic Geometry for Low-Dimensional Varieties held January 8, 2007, in New Orleans, LA;
January 6, 2009, in Washington, DC; and January 6, 2011, in New Orleans, LA.
Algebraic, analytic, and geometric methods are used to study algebraic curves and Riemann surfaces from
a variety of points of view. The object of the study is the same. The methods are different. The fact that
a multitude of methods, stemming from very different mathematical cultures, can be used to study the
same objects makes this area both fascinating and challenging.
A. Arnold and K.-D. Semmler -- Large hyperbolic polygons and hyperelliptic Riemann surfaces
G. Bartolini, A. F. Costa, and M. Izquierdo -- On isolated strata of pentagonal Riemann surfaces in the branch locus of moduli spaces
E. Bujalance, F. J. Cirre, and M. D. E. Conder -- Finite group actions of large order on compact bordered surfaces
I. Coskun -- Surfaces of low degree containing a canonical curve
E. Fortuna, P. Gianni, and B. Trager -- Ideals of curves given by points
D. Glass -- Non-genera of curves with automorphisms in characteristic p
R. A. Hidalgo and M. Seppala -- Numerical Schottky uniformizations of certain cyclic L-gonal curves
E. Hironaka -- Generalized lantern relations and planar line arrangements
K. S. Kedlaya -- Effective p-adic cohomology for cyclic cubic threefolds
K. Magaard, S. Shpectorov, and G. Wang -- Generating sets of affine groups of low genus
L. X. C. Ngo, J. R. Sendra, and F. Winkler -- Classification of algebraic ODEs with respect to rational solvability
C. T. Sass, K. Stephenson, and G. B. Williams -- Circle packings on conformal and affine tori
J. Schicho and D. Sevilla -- Effective radical parametrization of trigonal curves
ISBN: 978-0-8218-8794-3
Series, Volume: Graduate Studies in Mathematics, Volume 136
Bibliographic Information: Published: 5 August 2012;
Copyright Year: 2012; Pages: approximately 225; Hardcover
Differential Equations
Recommended for Bookstores
Applied Mathematics
Readership: Research mathematicians interested in partial differential equations, in particular in problems
with free boundaries.
The regularity theory of free boundaries flourished during the late 1970s and early 1980s and
had a major impact in several areas of mathematics, mathematical physics, and industrial mathematics,
as well as in applications. Since then the theory continued to evolve. Numerous new ideas, techniques,
and methods have been developed, and challenging new problems in applications have arisen. The
main intention of the authors of this book is to give a coherent introduction to the study of the regularity
properties of free boundaries for a particular type of problems, known as obstacle-type problems. The
emphasis is on the methods developed in the past two decades. The topics include optimal regularity,
nondegeneracy, rescalings and blowups, classification of global solutions, several types of monotonicity
formulas, Lipschitz, C 1 , as well as higher regularity of the free boundary, structure of the singular set, touch
of the free and fixed boundaries, and more.
The book is based on lecture notes for the courses and mini-courses given by the authors at various locations
and should be accessible to advanced graduate students and researchers
in analysis and partial differentialequations.
Introduction
Basic theory
Symplectic geometry and analysis
Fourier transform, stationary phase
Semiclassical quantization
Applications to partial differential equations
Semiclassical defect measures
Eigenvalues and eigenfunctions
Estimates for solutions of PDE
Advanced theory and applications
More on the symbol calculus
Changing variables
Fourier integral operators
Quantum and classical dynamics
Normal forms
The FBI transform
Semiclassical analysis on manifolds
Manifolds
Quantum ergodicity
Appendices
Notation
Differential forms
Functional analysis
Fredholm theory
Bibliography
Index
ISBN: 978-0-8218-8320-4
Series, Volume: Graduate Studies in Mathematics, Volume 138
Published: 24 August 2012; Copyright Year: 2012; Pages: approximately 424;
Hardcover
Differential Equations
Analysis
Textbook
Applied Mathematics
Readership: Graduate students and research mathematicians interested in semiclassical and microlocal methods
in partial differential equations.
This book is an excellent, comprehensive introduction to semiclassical analysis. I believe it will
become a standard reference for the subject.
?Alejandro Uribe, University of Michigan
Semiclassical analysis provides PDE techniques based on the classical-quantum (particle-wave) correspondence.
These techniques include such well-known tools as geometric optics and the Wentzel?
Kramers-Brillouin approximation. Examples of problems studied in this subject are high energy eigenvalue
asymptotics and effective dynamics for solutions of evolution equations. From the mathematical point of
view, semiclassical analysis is a branch of microlocal analysis which, broadly speaking, applies harmonic
analysis and symplectic geometry to the study of linear and nonlinear PDE. The book is intended to be a
graduate level text introducing readers to semiclassical and microlocal methods in PDE. It is augmented in
later chapters with many specialized advanced topics which provide a link to current research literature.
Introduction
Basic theory
Symplectic geometry and analysis
Fourier transform, stationary phase
Semiclassical quantization
Applications to partial differential equations
Semiclassical defect measures
Eigenvalues and eigenfunctions
Estimates for solutions of PDE
Advanced theory and applications
More on the symbol calculus
Changing variables
Fourier integral operators
Quantum and classical dynamics
Normal forms
The FBI transform
Semiclassical analysis on manifolds
Manifolds
Quantum ergodicity
Appendices
Notation
Differential forms
Functional analysis
Fredholm theory
Bibliography
Index