Contemporary Mathematics, Volume: 546
2011; 315 pp; softcover
ISBN-13: 978-0-8218-4944-6
Expected publication date is July 17, 2011.
This volume represents the proceedings of the conference on Noncommutative Geometric Methods in Global Analysis, held in honor of Henri Moscovici, from June 29-July 4, 2009, in Bonn, Germany.
Henri Moscovici has made a number of major contributions to noncommutative geometry, global analysis, and representation theory. This volume, which includes articles by some of the leading experts in these fields, provides a panoramic view of the interactions of noncommutative geometry with a variety of areas of mathematics. It focuses on geometry, analysis and topology of manifolds and singular spaces, index theory, group representation theory, connections of noncommutative geometry with number theory and arithmetic geometry, Hopf algebras and their cyclic cohomology.
Graduate students and research mathematicians interested in noncommutative geometry and its relations to other areas of mathematics.
D. Barbasch and P. Pand?i? -- Dirac cohomology and unipotent representations of complex groups
P. Bressler, A. Gorokhovsky, R. Nest, and B. Tsygan -- Algebraic index theorem for symplectic deformations of gerbes
J. Bruning, F. W. Kamber, and K. Richardson -- Index theory for basic Dirac operators on Riemannian foliations
A. Connes -- The Witt construction in characteristic one and quantization
M. Dubois-Violette and G. Landi -- Lie prealgebras
N. Higson -- On the analogy between complex semisimple groups and their Cartan motion groups
A. Kaygun -- A survey on Hopf-cyclic cohomology and Connes-Moscovici characteristic map
M. Khalkhali and A. Pourkia -- A super version of the Connes-Moscovici Hopf algebra
V. Mathai and S. Wu -- Analytic torsion of mathbb{Z}_2-graded elliptic complexes
B. Monthubert and V. Nistor -- The K-groups and the index theory of certain comparison C*-algebras
H. Moriyoshi and P. Piazza -- Relative pairings and the Atiyah-Patodi-Singer index formula for the Godbillon-Vey cocycle
A. Nemethi -- Two exact sequences for lattice cohomology
B. Rangipour -- Cup products in Hopf cyclic cohomology with coefficients in contramodules
M. Wodzicki -- Algebras of p-symbols, noncommutative p-residue, and the Brauer group
G. Yu -- Large scale geometry and its applications
Contemporary Mathematics, Volume: 547
2011; 244 pp; softcover
ISBN-13: 978-0-8218-5251-4
Expected publication date is August 13, 2011.
This volume contains the proceedings of the Sixth Conference on Function Spaces, which was held from May 18-22, 2010, at Southern Illinois University at Edwardsville.
The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), spaces of integrable functions, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects.
Graduate students and research mathematicians interested in modern analysis.
A. V. Abanin, R. Ishimura, and L. H. Khoi -- Exponential-polynomial bases for null spaces of convolution operators in A^{-infty}
M. Abel -- Locally m-pseudoconvex algebras
N. Arcozzi, R. Rochberg, E. Sawyer, and B. D. Wick -- Distance functions for reproducing kernel Hilbert spaces
H. A. Peimbert and A. G. Garcia -- Some properties of families of functions in C_b(X,mathbb{C}),beta)
R. M. Aron and P. Rueda -- p-compact homogeneous polynomials from an ideal point of view
F. Botelho and J. Jamison -- Homomorphisms of non-commutative Banach *-algebras of Lipschitz functions
A. E. Cardwell -- An extension of a lemma by Phelps to Hilbert spaces
P. H. Enflo and T. M. Smith -- Algebraic complements and ranges of linear operators
M. Haralampidou -- Wedderburn decomposition of pseudo-H-algebras
O. Hatori, S. Lambert, A. Luttman, T. Miura, T. Tonev, and R. Yates -- Spectral preservers in commutative Banach algebras
G. Hirasawa, T. Miura, and H. Takagi -- Spectral radii conditions for isomorphisms between unital semisimple commutative Banach algebras
A. J. Izzo -- The peak point conjecture and uniform algebras invariant under group actions
K. Jarosz -- Function spaces-Selected open problems
R. Kantrowitz, M. M. Neumann, and T. J. Ransford -- Regularity, scrambling, and the steady state for stochastic matrices
J. W. D. Mason -- A survey of non-complex analogs of uniform algebras
M. Mouattamid -- Properties of solution-space of the Lagrange multivariate interpolation problem using translation-invariant Fourier-transformable kernels
S. Mukherjee, F. Jafari, and J. E. McInroy -- On the range of composition operators on spaces of entire functions
T. Oikhberg -- Reverse monotone approximation property
H. Rahimi, M. Ghahramani, and S. Moayeri -- Biprojectivity and weak amenability of some Banach algebras
K. Shamseddine -- Nontrivial order preserving automorphisms of non-Archimedean fields
T. Tonev and E. Toneva -- Composition operators between subsets of function algebras
J. Wermer -- Function theory on certain three-manifolds
Collected Works, Volume: 23
2011; 597 pp; hardcover
ISBN-13: 978-0-8218-5356-6
Expected publication date is September 28, 2011.
Herve Jacquet is one of the founders of the modern theory of automorphic representations and their associated L-functions. This volume represents a selection of his most influential papers not already available in book form. The volume contains papers on the L-function attached to a pair of representations of the general linear group. Thus, it completes Jacquet's papers on the subject (joint with Shalika and Piatetski-Shapiro) that can be found in the volume of selected works of Piatetski-Shapiro. In particular, two often quoted papers of Jacquet and Shalika on the classification of automorphic representations and a historically important paper of Gelbart and Jacquet on the functorial transfer from GL(2) to GL(3) are included. Another series of papers pertains to the relative trace formula introduced by Jacquet. This is a variant of the standard trace formula which is used to study the period integrals of automorphic forms. Nearly complete results are obtained for the period of an automorphic form over a unitary group.
Graduate students and research mathematicians interested in number theory, automorphic representations, L-functions, and the Langlands Program.
with J. A. Shalika, A non-vanishing theorem for zeta functions ofGL_n
with S. Gelbart, A relation between automorphic representations of GL(2) and GL(3)
with I. I. Piatetski-Shapiro and J. Shalika, Conducteur des representations du groupe lineaire
with J. A. Shalika, On Euler products and the classification of automorphic representations. I
with J. A. Shalika, On Euler products and the classification of automorphic forms. II
with K. F. Lai, A relative trace formula
with J. A. Shalika, A lemma on highly ramified varepsilon-factors
Sur un resultat de Waldspurger
Representations distinguees pour le groupe orthogonal
with K. F. Lai and S. Rallis, A trace formula for symmetric spaces
Factorization of period integrals
with N. Chen, Positivity of quadratic base change L-functions
Facteurs de transfert pour les integrales de Kloosterman
Smooth transfer of Kloosterman integrals
Kloosterman identities over a quadratic extension. II.
Student Mathematical Library, Volume: 61
2011; approx. 267 pp; softcover
ISBN-13: 978-0-8218-5347-4
Expected publication date is September 2, 2011.
This book is the first and only one of its kind on the topic of Cops and Robbers games, and more generally, on the field of vertex pursuit games on graphs. The book is written in a lively and highly readable fashion, which should appeal to both senior undergraduates and experts in the field (and everyone in between). One of the main goals of the book is to bring together the key results in the field; as such, it presents structural, probabilistic, and algorithmic results on Cops and Robbers games. Several recent and new results are discussed, along with a comprehensive set of references. The book is suitable for self-study or as a textbook, owing in part to the over 200 exercises. The reader will gain insight into all the main directions of research in the field and will be exposed to a number of open problems.
Undergraduate, graduate students, and research mathematicians interested in networks and graph theory.
Introduction
Characterizations
Meyniel's conjecture
Graph products and classes
Algorithms
Random graphs
Infinite graphs
Variants of Cops and Robbers
Good guys versus bad guys
Bibliography
Index
Graduate Studies in Mathematics, Volume: 125
2011; approx. 249 pp; hardcover
ISBN-13: 978-0-8218-5369-6
Expected publication date is September 8, 2011.
This book establishes the basic function theory and complex geometry of Riemann surfaces, both open and compact. Many of the methods used in the book are adaptations and simplifications of methods from the theories of several complex variables and complex analytic geometry and would serve as excellent training for mathematicians wanting to work in complex analytic geometry.
After three introductory chapters, the book embarks on its central, and certainly most novel, goal of studying Hermitian holomorphic line bundles and their sections. Among other things, finite-dimensionality of spaces of sections of holomorphic line bundles of compact Riemann surfaces and the triviality of holomorphic line bundles over Riemann surfaces are proved, with various applications. Perhaps the main result of the book is Hormander's Theorem on the square-integrable solution of the Cauchy-Riemann equations. The crowning application is the proof of the Kodaira and Narasimhan Embedding Theorems for compact and open Riemann surfaces.
The intended reader has had first courses in real and complex analysis, as well as advanced calculus and basic differential topology (though the latter subject is not crucial). As such, the book should appeal to a broad portion of the mathematical and scientific community.
Graduate students and research mathematicians interested in complex analysis and geometry and in PDE on complex spaces.
Complex analysis
Riemann surfaces
Functions on Riemann surfaces
Complex line bundles
Complex differential forms
Calculus on line bundles
Potential theory
Solving overline{partial} with smooth data
Harmonic forms
Uniformization
Hormander's Theorem
Embedding Riemann surfaces
The Riemann-Roch Theorem
Abel's Theorem
Bibliography
Index
ISBN-13: 9780201038040
Copyright: 2011
Format: Cloth; 912 pp
Preface
Notes on the Exercises
Chapter 7: Combinatorial Searching 1
7.1: Zeros and Ones 47
7.2: Generating All Possibilities 281
Answers to Exercises 514
Appendix A: Tables of Numerical Quantities 818
Appendix B: Index to Notations 822
Appendix C: Index to Algorithms and Theorems 828
Appendix D: Index to Combinatorial Problems 830
Index and Glossary 834