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New Publications Offered by The New Publications Offered by the AMS To subscribe to email notification of new AMS publications, please go to http://www.ams.org/bookstore-email. Algebra and Algebraic Contemporary Mathematics, Volume 544 June 2011, 159 pages, Softcover, ISBN: 978-0-8218-5259-0, LC Geometry 2011007612, 2010 Mathematics Subject Classification: 17A70, 16T05, 05C12, 43A90, 43A35, 43A75, 22E27, AMS members US$47.20, List US$59, Order code CONM/544 New Developments in Lie Theory and Its On Systems of Applications Equations over Free Carina Boyallian, Esther Galina, Partially Commutative and Linda Saal, Universidad Groups Nacional de Córdoba, Argentina, Montserrat Casals-Ruiz and Ilya Editors Kazachkov, McGill University, This volume contains the proceedings of Montreal, QC, Canada the Seventh Workshop in Lie Theory and Its Applications, which was held November 27–December 1, 2009 at Contents: Introduction; Preliminaries; the Universidad Nacional de Córdoba, in Córdoba, Argentina. The Reducing systems of equations over workshop was preceded by a special event, “Encuentro de teoria de G to constrained generalised equations over F; The process: Lie”, held November 23–26, 2009, in honor of the sixtieth birthday Construction of the tree T ; Minimal solutions; Periodic structures; of Jorge A. Vargas, who greatly contributed to the development of The finite tree T0(Ω) and minimal solutions; From the coordinate ∗ T Lie theory in Córdoba. group GR(Ω ) to proper quotients: The decomposition tree dec and the extension tree Text; The solution tree Tsol(Ω) and the main This volume focuses on representation theory, harmonic analysis in theorem; Bibliography; Index; Glossary of notation. Lie groups, and mathematical physics related to Lie theory. The papers give a broad overview of these subjects and also of the Memoirs of the American Mathematical Society, Volume 212, recent developments of the authors’ research. Number 999 This item will also be of interest to those working in analysis and June 2011, 153 pages, Softcover, ISBN: 978-0-8218-5258-3, mathematical physics. LC 2011011927, 2010 Mathematics Subject Classification: 20F70; Individual member US$46.20 Contents: F. Levstein, C. Maldonado, and D. Penazzi, Lattices, 20F10, 20F36, , List US$77, In- frames and Norton algebras of dual polar graphs; J. Faraut, stitutional member US$61.60, Order code MEMO/212/999 Asymptotic spherical analysis; J. Vargas, Restriction of discrete series of a semisimple Lie group to reductive subgroups; S. Dann and G. Ólafsson, Paley-Wiener theorems with respect to the spectral parameter; G. Ólafsson and J. A. Wolf, Extension of symmetric spaces and restriction of Weyl groups and invariant polynomials; A. H. Dooley, Intertwining operators, the Cayley transform, and the contraction of K to NM; L. Gutíerrez, J. Pantoja, and J. Soto-Andrade, On generalized Weil representations over involutive rings; N. Andruskiewitsch, I. Angiono, and H. Yamane, On pointed Hopf superalgebras; V. Serganova, Quasireductive supergroups. June/July 2011 Notices of the AMS 863 New Publications Offered by the AMS Valuations and Analysis Differential Galois Groups Guillaume Duval Concentration, Functional Contents: Introduction; Invariant valuations and solutions of l.d.e.; Inequalities and Examples and use of invariant valuations; Isoperimetry Continuity of derivations, geometry and examples; Continuity and field extensions; Christian Houdré, Georgia Invariant valuations and singularities of Institute of Technology, Atlanta, l.d.e.; Existence and geometry of invariant valuations; Bibliography. GA, Michel Ledoux, Université Memoirs of the American Mathematical Society, Volume 212, de Toulouse, France, Emanuel Number 998 Milman, Technion-Israel Institute June 2011, 68 pages, Softcover, ISBN: 978-0-8218-4906-4, LC of Technology, Haifa, Israel, and 2011016003, 2010 Mathematics Subject Classification: 34M15; Mario Milman, Florida Atlantic 12J20, Individual member US$36, List US$60, Institutional University, Boca Raton, FL, member US$48, Order code MEMO/212/998 Editors The volume contains the proceedings of the international workshop Two Kinds of on Concentration, Functional Inequalities and Isoperimetry, held at Derived Categories, Florida Atlantic University in Boca Raton, Florida, from October Koszul Duality, 29–November 1, 2009. The interactions between concentration, isoperimetry and and Comodule- functional inequalities have led to many significant advances in functional analysis and probability theory. Important progress has Contramodule also taken place in combinatorics, geometry, harmonic analysis and Correspondence mathematical physics, to name but a few fields, with recent new applications in random matrices and information theory. Leonid Positselski, Institute for Information Transmission This book should appeal to graduate students and researchers interested in the fascinating interplay between analysis, probability, Problems, Moscow, Russia and geometry. Contents: Introduction; Derived category of DG-modules; Derived Contents: S. Aida, COH formula and Dirichlet Laplacians on categories of DG-comodules and DG-contramodules; Coderived small domains of pinned path spaces; N. Badr and G. Dafni, and contraderived categories of CDG-modules; Coderived Maximal characterization of Hardy-Sobolev spaces on manifolds; category of CDG-comodules and contraderived category of S. G. Bobkov, On Milman’s ellipsoids and M-position of convex CDG-contramodules; Comodule-contramodule correspondence; bodies; S. G. Bobkov, M. Madiman, and L. Wang, Fractional Koszul duality: Conilpotent and nonconilpotent cases; A1-algebras generalizations of Young and Brunn-Minkowski inequalities; and curved A1-coalgebras; Model categories of DG-modules, R. Eldan and B. Klartag, Approximately Gaussian marginals CDG-comodules, and CDG-contramodules; Model categories of and the hyperplane conjecture; O. N. Feldheim and S. Sodin, DG-algebras and CDG-coalgebras; Appendix A. Homogeneous One more proof of the Erd˝os-Turáninequality, and an error estimate in Wigner’s law; A. Figalli, Quantitative isoperimetric Koszul duality; Appendix B. D–Ω duality; Bibliography. inequalities with applications to the stability of liquid drops and Memoirs of the American Mathematical Society, Volume 212, crystals; R. L. Frank and E. H. Lieb, Spherical reflection positivity Number 996 and the Hardy–Littlewood–Sobolev inequality; A. Giannopoulos, June 2011, 133 pages, Softcover, ISBN: 978-0-8218-5296-5, G. Paouris, and P. Valettas, On the existence of subgaussian LC 2011016023, 2010 Mathematics Subject Classification: 18E30, directions for log-concave measures; A. V. Kolesnikov and R. I. 18G10, 16T15, 16S37, 14F10; 18G55, 17B55, 16E65, 18G15, 58J10, Zhdanov, On isoperimetric sets of radially symmetric measures; Individual member US$42.60, List US$71, Institutional member M. Ledoux, From concentration to isoperimetry: Semigroup proofs; J. Martín and M. Milman, Sobolev inequalities, rearrangements, US$56.80, Order code MEMO/212/996 isoperimetry and interpolation spaces; E. Milman, Isoperimetric bounds on convex manifolds; F. Morgan, The log-convex density conjecture. Contemporary Mathematics, Volume 545 July 2011, 211 pages, Softcover, ISBN: 978-0-8218-4971-2, LC 2011008188, 2010 Mathematics Subject Classification: 26D10, 32F32, 46E30, 46G12, 53C20, 53C21, 60B99, 60E15, AMS members US$63.20, List US$79, Order code CONM/545 864 Notices of the AMS Volume 58, Number 6 New Publications Offered by the AMS Positive Definiteness regions; Seminar 8: The area of a disk and disk packing; Seminar 9: of Functions with Dissection; Seminar 10: Geometry in three dimensions; Index. MSRI Mathematical Circles Library, Volume 3 Applications to June 2011, 202 pages, Softcover, ISBN: 978-0-8218-5362-7, LC Operator Norm 2011010067, 2010 Mathematics Subject Classification: 51-01, 97Gxx, Inequalities 97G30, 97G40, AMS members US$31.20, List US$39, Order code MCL/3 Hideki Kosaki, Kyushu University, Fukuoka, Japan Mostly Surfaces Contents: Introduction; Preliminaries; Richard Evan Schwartz, Brown Fourier transforms and positive definiteness; A certain Heinz-type inequality and related commutator estimates; Norm University, Providence, RI comparison for various operator means; Norm inequalities for 1 1 1 1 This book presents a number of topics +β −β −β +β 1=2 1=2 H 2 XK 2 + H 2 XK 2 ± H XK ; Norm comparison of related to surfaces, such as Euclidean, Heron-type means and related topics; Operator Lehmer means and spherical and hyperbolic geometry, the their properties; Appendix A. A direct proof for Proposition 7.3; fundamental group, universal covering Appendix B. Proof for Theorem 7.10; Bibliography; Index. surfaces, Riemannian manifolds, the Memoirs of the American Mathematical Society, Volume 212, Gauss-Bonnet Theorem, and the Riemann Number 997 mapping theorem. The main idea is to get to some interesting mathematics without June 2011, 80 pages, Softcover, ISBN: 978-0-8218-5307-8, LC too much formality. The book also includes some material only 2011011926, 2010 Mathematics Subject Classification: 47A63, tangentially related to surfaces, such as the Cauchy Rigidity 47A64; 15A42, 15A60, 47A30, Individual member US$39.60, List Theorem, the Dehn Dissection Theorem, and the Banach–Tarski US$66, Institutional member US$52.80, Order code MEMO/212/997 Theorem. The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigorous yet informal and Geometry and Topology friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra and some
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