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New Publications Offered by the AMS New Series from the AMS! newpubs-sep99.qxp 8/24/99 7:54 AM Page 983 New Publications Offered by the AMS New Series from the AMS! We are pleased to announce an important new book series: The SMF/AMS Texts and Monographs series will be co-published by the Société Mathématique de France (SMF) and the AMS. The collection consists of English translations of select books originally published in French by the SMF in their outstanding Cours Spècialisés and other series, including the well-known Astérisque, Panoramas et Synthèses, and Memoires. These high-quality works will be distributed worldwide by the AMS. AMS and SMF members will receive AMS member discounts on the titles in the series. The books published in the series are suitable for honors courses, upper-division seminars, reading courses or self-study. Contents: Part I: Lie groups and Lie algebras: G. M. Seitz, Algebra and Algebraic Dynkin and Lie theory; F. I. Karpelevich, A. L. Onishchik, and E. B. Vinberg, On the work of E. B. Dynkin in the theory of Lie Geometry groups; F. I. Karpelevich, A. L. Onishchik, and E. B. Vinberg, Correction to On the work of E. B. Dynkin in the theory of Lie groups; E. B. Dynkin, Classification of simple Lie groups; Selected Papers of E. B. Dynkin, Calculation of the coefficients in the Campbell- Hausdorff formula; E. B. Dynkin, The maximal subgroups of SELECTED PAPERS OF E. B. Dynkin with the classical groups; A. L. Onishchik, Comments on Maximal E. B. DYNKIN subgroups of the classical groups; E. B. Dynkin, Semisimple WITH COMMENTARY Commentary subalgebras of semisimple Lie algebras; A. L. Onishchik, E. B. Dynkin A. A. Yushkevich, University Comments on the paper Semisimple subalgebras of semisimple A. A. Yushkevich G. M. Seitz of North Carolina, Charlotte, Lie algebras; E. B. Dynkin, Construction of primitive cycles in A. L. Onishchik Editors G. M. Seitz, University of compact Lie groups; E. B. Dynkin, Topological characteristics THEMAT A IC M A L N ΤΡΗΤΟΣ ΜΗ ΕΙΣΙΤΩ A S of homomorphisms of compact Lie groups; A. L. Onishchik, O C I C R I E E ΑΓΕΩΜΕ T Y M A F 8 Oregon, Eugene, and O 8 UNDED 18 Comments on the paper Topological characteristics of homo- A. L. Onishchik, Yaroslavl American Mathematical Society morphisms of compact Lie groups; B. Kostant, Dynkin and International Press State University, Russia, Editors modern Lie theory; D. A. Vogan, Jr., Comments on the impact of Dynkin’s work on current research in representation theory; Eugene Dynkin is a rare example of a A. Gabrielov, Coxeter-Dynkin diagrams and singularities; contemporary mathematician who has K. Gottfried, Lie groups in physics; Y. Ne’eman, Dynkin achieved outstanding results in two quite different areas of diagrams in the physics of particles, fields and strings; Part II: research: algebra and probability. In both areas, his ideas Probability theory: A. A. Yushkevich, Dynkin and probability constitute an essential part of modern mathematical knowl- theory; E. B. Dynkin, Necessary and sufficient statistics for a edge and form a basis for further development. Although his family of probability distributions; E. B. Dynkin, Some limit last work in algebra was published in 1955, his contributions theorems for sums of independent random variables with infi- continue to influence current research in algebra and in the nite mathematical expectations; E. B. Dynkin, Markov physics of elementary particles. His work in probability is part processes and semigroups of operators; E. B. Dynkin and of both the historical and the modern development of the A. A. Yushkevich, Strong Markov processes; E. B. Dynkin, topic. Infinitesimal operators of Markov processes; E. B. Dynkin, The This volume presents Dynkin’s scientific contributions in both natural topology and excessive functions connected with a areas. Included are Commentary by recognized experts in the Markov processes; E. B. Dynkin and M. B. Malyutov, Random corresponding fields who describe the time, place, role, and walk on groups with a finite number of generators; impact of Dynkin’s research and achievements. Biographical E. B. Dynkin, The optimum choice of the instant for stopping a notes and the recollections of his students are also featured. Markov process; E. B. Dynkin, Brownian motion in certain This item will also be of interest to those working in probability. symmetric spaces and nonnegative eigenfunctions of the Laplace-Beltrami operator; E. B. Dynkin, Diffusion of tensors; This book is jointly published by the AMS and the International Press. E. B. Dynkin, Game variant of a problem on optimal stopping; SEPTEMBER 1999 NOTICES OF THE AMS 983 newpubs-sep99.qxp 8/24/99 7:54 AM Page 984 New Publications Offered by the AMS E. B. Dynkin and S. E. Kuznetsov, Determining functions of Equivariant intersection cohomology of toric varieties; E. Bayer- Markov processes and corresponding dual regular classes; Fluckiger, Lattices and number fields; F. Campana, E. B. Dynkin, Economic equilibrium under uncertainty; G-connectedness of compact Kähler manifolds. I; F. Catanese, I. V. Evstigneev, Comments on economic equilibrium under Singular bidouble covers and the construction of interesting uncertainty; E. B. Dynkin, Markov process es and random algebraic surfaces; P. B. Cohen, Quantum statistical mechanics fields; E. B. Dynkin, Green’s and Dirichlet spaces associated and number theory; H. Esnault and E. Viehweg, Semistable with fine Markov processes; E. B. Dynkin, Markov processes as bundles on curves and irreducible representations of the funda- a tool in field theory; E. B. Dynkin and A. Mandelbaum, mental group; G. Faltings, Does there exist an arithmetic Symmetric statistics, Poisson point processes, and multiple Kodaira-Spencer class?; E. Getzler, The Virasoro conjecture for Wiener integrals; E. B. Dynkin, Gaussian and non-Gaussian Gromov-Witten invariants; K. Hulek, I. Nieto, and random fields associated with Markov processes; E. B. Dynkin, G. K. Sankaran, Degenerations of (1,3) abelian surfaces and Author’s correction to Guassian and non-Gaussian random Kummer surfaces; Y. Kawamata, On the extension problem of fields associated with Markov processes.; E. B. Dynkin, An pluricanonical forms; S. Kleiman and R. Piene, Enumerating application of flows to time shift and time reversal in singular curves on surfaces; H. Kurke and A. Matuschke, On the stochastic processes; E. B. Dynkin, Author’s comments on An structure of moduli spaces of framed vector bundles on rational application of flows to time shift and time reversal in and ruled surfaces; A. Langer, A note on k-jet ampleness on stochastic processes; E. B. Dynkin, Representation for func- surfaces; A. Lascoux, About the “y” in the y-characteristic of tionals of superprocesses by multiple stochastic integrals, with Hirzebruch; T. Shioda, The splitting field of Mordell-Weil lattices; applications to self-intersection local times; E. B. Dynkin, A M. Teicher, Hirzebruch surfaces: Degenerations, related braid probabilistic approach to one class of nonlinear differential monodromy, Galois covers; M.-F. Vignéras, Intégrales orbitales equations; E. B. Dynkin, Superdiffusions and parabolic modulo l pour un groupe réductif p-adique; A. Weber, A nonlinear differential equations; S. E. Kuznetsov, Comments morphism of intersection homology and Hard Lefschetz; on Superdiffusions and parabolic nonlinear differential equa- S. Yokura, On characteristic classes of complete intersections. tions; P. A. Meyer, Dynkin and the theory of Markov processes; Contemporary Mathematics, Volume 241 A. A. Yushkevich, To the history of strong Markov property; M. A. Olshanetsky, On compactifications of symmetric spaces; September 1999, 369 pages, Softcover, ISBN 0-8218-1149-5, J.-F. Le Gall, Dynkin’s contributions to superprocesses and 1991 Mathematics Subject Classification: 00A79, 11–02, 11Gxx, partial differential equations; I. V. Evstigneev, Dynkin’s work 11Hxx, 14–02, 14Bxx, 14Cxx, 14Dxx, 14Fxx, 14Hxx, 14Jxx, in mathematical economics; Acknowledgments. 14Mxx, 22Exx, 32Cxx, 57–02, 11Rxx, Individual member $47, List $79, Institutional member $63, Order code CONM/241N Collected Works, Volume 14 October 1999, 796 pages, Hardcover, ISBN 0-8218-1065-0, LC 99-35175, 1991 Mathematics Subject Classification: 20–XX, Volume 22 Algebraic Methods 22–XX, 60–XX, Individual member $77, List $128, Institutional C CRM member $102, Order code CWORKS/14N R PROCEEDINGS & and q-Special M LECTURE NOTES Centre de Recherches Mathématiques Functions Université de Montréal Jan Felipe van Diejen, CONTEMPORARY Algebraic Geometry: Algebraic Methods MATHEMATICS and q-Special Universidad de Chile, Santiago, Hirzebruch 70 Functions 241 and Luc Vinet, Université de Jan Felipe van Diejen Piotr Pragacz, Institute Luc Vinet Montréal, Québec, Canada, Algebraic Geometry: Editors Hirzebruch 70 Mathematics PAN, Torun, EM Editors TH AT A IC M A L N ΤΡΗΤΟΣ ΜΗ ΕΙΣΙΤΩ A S O C I C R I E E ΑΓΕΩΜΕ T American Mathematical Society Y Piotr Pragacz M A F O 88 Michal Szurek Poland, Michal Szurek, UNDED 18 Jaroslaw Wi´sniewski There has been revived interest in Editors Warsaw, Poland, and Jaroslaw recent years in the study of special THEMAT A IC M A L N ΤΡΗΤΟΣ ΜΗ ΕΙΣΙΤΩ A S O C I C R I E E ΑΓΕΩΜΕ T ´ M Y Wisniewski, University of A FO 8 functions. Many of the latest advances in the field were U 8 NDED 18 Warsaw, Poland, Editors inspired by the works of R. A. Askey and colleagues on basic American Mathematical Society hypergeometric series and I. G. Macdonald on orthogonal poly- This book presents the proceedings nomials related to root systems. Significant progress was made from the conference on algebraic by the use of algebraic techniques involving quantum groups, geometry in honor of Professor Friedrich Hirzebruch’s 70th Hecke algebras, and combinatorial methods. Birthday. The event was held at the Stefan Banach International Mathematical Center in Warsaw (Poland). Topics covered in the The CRM organized a workshop for key researchers in the field book include intersection theory, singularities, low-dimensional to present an overview of current trends.
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