The Madison Symposium on Complex Analysis
The Madison Symposium on Complex Analysis

Author: Edgar Lee Stout

Publisher: American Mathematical Soc.

Published: 1992

Total Pages: 490

ISBN-13: 0821851470

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This volume contains the proceedings of a Symposium on Complex Analysis, held at the University of Wisconsin at Madison in June 1991 on the occasion of the retirement of Walter Rudin. During the week of the conference, a group of about two hundred mathematicians from many nations gathered to discuss recent developments in complex analysis and to celebrate Rudin's long and productive career. Among the main subjects covered are applications of complex analysis to operator theory, polynomial convexity, holomorphic mappings, boundary behaviour of holomorphic functions, function theory on the unit disk and ball, and some aspects of the theory of partial differential equations related to complex analysis. Containing papers by some of the world's leading experts in these subjects, this book reports on current directions in complex analysis and presents an excellent mixture of the analytic and geometric aspects of the theory.

Modern Methods in Complex Analysis (AM-137), Volume 137
Modern Methods in Complex Analysis (AM-137), Volume 137

Author: Thomas Bloom

Publisher: Princeton University Press

Published: 2016-03-02

Total Pages: 360

ISBN-13: 1400882575

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The fifteen articles composing this volume focus on recent developments in complex analysis. Written by well-known researchers in complex analysis and related fields, they cover a wide spectrum of research using the methods of partial differential equations as well as differential and algebraic geometry. The topics include invariants of manifolds, the complex Neumann problem, complex dynamics, Ricci flows, the Abel-Radon transforms, the action of the Ricci curvature operator, locally symmetric manifolds, the maximum principle, very ampleness criterion, integrability of elliptic systems, and contact geometry. Among the contributions are survey articles, which are especially suitable for readers looking for a comprehensive, well-presented introduction to the most recent important developments in the field. The contributors are R. Bott, M. Christ, J. P. D'Angelo, P. Eyssidieux, C. Fefferman, J. E. Fornaess, H. Grauert, R. S. Hamilton, G. M. Henkin, N. Mok, A. M. Nadel, L. Nirenberg, N. Sibony, Y.-T. Siu, F. Treves, and S. M. Webster.

Differential Topology, Foliations, and Group Actions
Differential Topology, Foliations, and Group Actions

Author: Paul A. Schweitzer

Publisher: American Mathematical Soc.

Published: 1994

Total Pages: 306

ISBN-13: 0821851705

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This volume contains the proceedings of the Workshop on Topology held at the Pontificia Universidade Catolica in Rio de Janeiro in January 1992. Bringing together about one hundred mathematicians from Brazil and around the world, the workshop covered a variety of topics in differential and algebraic topology, including group actions, foliations, low-dimensional topology, and connections to differential geometry. The main concentration was on foliation theory, but there was a lively exchange on other current topics in topology. The volume contains an excellent list of open problems in foliation research, prepared with the participation of some of the top world experts in this area. Also presented here are two surveys on group actions---finite group actions and rigidity theory for Anosov actions---as well as an elementary survey of Thurston's geometric topology in dimensions 2 and 3 that would be accessible to advanced undergraduates and graduate students.

The Reconstruction of Trees from Their Automorphism Groups
The Reconstruction of Trees from Their Automorphism Groups

Author: Matatyahu Rubin

Publisher: American Mathematical Soc.

Published: 1993

Total Pages: 286

ISBN-13: 082185187X

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0 An extended introduction (starting p. 1) -- 1 Some preliminaries concerning interpretations, groups and [actual symbol not reproducible]-categoricity (starting p. 29) -- 2 A new reconstruction theorem for Boolean algebras (starting p. 43) -- 3 The completion and the Boolean algebra of a U-tree (starting p. 57) -- 4 The statement of the canonization and reconstruction theorems (starting p. 63) -- 5 The canonization of trees (starting p. 73) -- 6 The reconstruction of the Boolean algebra of a U-tree (starting p. 87) -- 7 The reconstruction of PT(Exp(M)) (starting p. 135) -- 8 Final reconstruction results (starting p. 153) -- 9 Observations, examples and discussion (starting p. 155) -- 10 Augmented trees (starting p. 169) -- 11 The reconstruction of [actual symbol not reproducible]-categorical trees (starting p. 205) -- 12 Nonisomorphic 1-homogeneous chains which have isomorphic automorphism groups (starting p. 243) -- Bibliography (starting p. 251) -- A list of notations and definitions (starting p. 253)

Doeblin and Modern Probability
Doeblin and Modern Probability

Author: Harry Cohn

Publisher: American Mathematical Soc.

Published: 1993

Total Pages: 362

ISBN-13: 0821851497

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Wolfgang Doeblin, one of the greatest probabilists of this century, died in action during World War II at the age of twenty-five. He left behind several seminal contributions which have profoundly influenced the field and continue to provide inspiration for current research. This book is based on papers presented at the conference, `Fifty Years after Doeblin: Developments in the Theory of Markov Chains, Markov Processes, and Sums of Random Variables', held at Blaubeuren, Germany, in November 1991. Presented here for the first time is an account of Doeblin's life and work, revealing the circumstances of his tragic death in 1940. Organized into sections according to topic, the papers describe both Doeblin's original contributions as well as current developments. With contributions by top probabilists from sixteen countries, this book will interest both researchers in probability and science historians.

Domain Decomposition Methods in Science and Engineering
Domain Decomposition Methods in Science and Engineering

Author: Alfio Quarteroni

Publisher: American Mathematical Soc.

Published: 1994

Total Pages: 510

ISBN-13: 0821851586

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This book contains the proceedings of the Sixth International Conference on Domain Decomposition, held in June 1992 in Como, Italy. Much of the work in this field focuses on developing numerical methods for large algebraic systems.

Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups
Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups

Author: Paul J. Sally (Jr.)

Publisher: American Mathematical Soc.

Published: 1994

Total Pages: 282

ISBN-13: 0821851861

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This book contains papers presented by speakers at the AMS-IMS-SIAM Joint Summer Research Conference on Conformal Field Theory, Topological Field Theory and Quantum Groups, held at Mount Holyoke College in June 1992. One group of papers deals with one aspect of conformal field theory, namely, vertex operator algebras or superalgebras and their representations. Another group deals with various aspects of quantum groups. Other topics covered include the theory of knots in three-manifolds, symplectic geometry, and tensor products. This book provides an excellent view of some of the latest developments in this growing field of research.

Homotopy Theory and Its Applications
Homotopy Theory and Its Applications

Author: Alejandro Adem

Publisher: American Mathematical Soc.

Published: 1995

Total Pages: 250

ISBN-13: 0821803050

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This book is the result of a conference held to examine developments in homotopy theory in honor of Samuel Gitler in July 1993 (Cocoyoc, Mexico). It includes several research papers and three expository papers on various topics in homotopy theory. The research papers discuss the following: BL application of homotopy theory to group theory BL fiber bundle theory BL homotopy theory The expository papers consider the following topics: BL the Atiyah-Jones conjecture (by C. Boyer) BL classifying spaces of finite groups (by J. Martino) BL instanton moduli spaces (by J. Milgram) Homotopy Theory and Its Applications offers a distinctive account of how homotopy theoretic methods can be applied to a variety of interesting problems.

The Structure of Relation Algebras Generated by Relativizations
The Structure of Relation Algebras Generated by Relativizations

Author: Steven R. Givant

Publisher: American Mathematical Soc.

Published: 1994

Total Pages: 154

ISBN-13: 0821851772

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The foundation of an algebraic theory of binary relations was laid by De Morgan, Peirce, and Schroder during the second half of the nineteenth century. Modern development of the subject as a theory of abstract algebras, called "relation algebras", was undertaken by Tarski and his students. This book aims to analyse the structure of relation algebras that are generated by relativized subalgebras. As examples of their potential for applications, the main results are used to establish representation theorems for classes of relation algebras and to prove existence and uniqueness theorems for simple closures (i.e., for minimal simple algebras containing a given family of relation algebras as relativized subalgebras). This book is well-written and accessible to those who are not specialists in this area. In particular, it contains two introductory chapters on the arithmetic and the algebraic theory of relation algebras. This book is suitable for use in graduate courses onalgebras of binary relations or algebraic logic.

$SL(2)$ Representations of Finitely Presented Groups
$SL(2)$ Representations of Finitely Presented Groups

Author: Gregory W. Brumfiel

Publisher: American Mathematical Soc.

Published: 1995

Total Pages: 208

ISBN-13: 0821804162

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This book is essentially self-contained and requires only a basic abstract algebra course as background. The book includes and extends much of the classical theory of SL(2) representations of groups. Readers will find SL(2) Representations of Finitely Presented Groups relevant to geometric theory of three dimensional manifolds, representations of infinite groups, and invariant theory. Features...... * A new finitely computable invariant H[*p] associated to groups and used to study the SL(2) representations of *p * Invariant theory and knot theory related through SL(2) representations of knot groups.