In The Tradition Of Ahlfors Bers V

Author : Mario Bonk
Publisher : American Mathematical Soc.
Page : 346 pages
File Size : 54,8 Mb
Release : 2010
Category : Functions
ISBN : 9780821847329

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In the Tradition of Ahlfors-Bers, V by Mario Bonk Pdf

The Ahlfors-Bers Colloquia commemorate the mathematical legacy of Lars Ahlfors and Lipman Bers. The core of this legacy lies in the fields of geometric function theory, Teichmuller theory, hyperbolic geometry, and partial differential equations. However, the work of Ahlfors and Bers has impacted and created interactions with many other fields of mathematics, such as algebraic geometry, dynamical systems, topology, geometric group theory, mathematical physics, and number theory. Recent years have seen a flowering of this legacy with an increased interest in their work. This current volume contains articles on a wide variety of subjects that are central to this legacy. These include papers in Kleinian groups, classical Riemann surface theory, translation surfaces, algebraic geometry and dynamics. The majority of the papers present new research, but there are survey articles as well.

Author : Ara S. Basmajian,Yair N. Minsky,Alan W. Reid
Publisher : American Mathematical Soc.
Page : 250 pages
File Size : 46,7 Mb
Release : 2017-08-17
Category : Functions
ISBN : 9781470426514

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In the Tradition of Ahlfors–Bers, VII by Ara S. Basmajian,Yair N. Minsky,Alan W. Reid Pdf

The Ahlfors–Bers Colloquia commemorate the mathematical legacy of Lars Ahlfors and Lipman Bers. The core of this legacy lies in the fields of geometric function theory, Teichmüller theory, hyperbolic geometry, and partial differential equations. Today we see the influence of Ahlfors and Bers on algebraic geometry, mathematical physics, dynamics, probability, geometric group theory, number theory and topology. Recent years have seen a flowering of this legacy with an increased interest in their work. This current volume contains articles on a wide variety of subjects that are central to this legacy. These include papers in Kleinian groups, classical Riemann surface theory, Teichmüller theory, mapping class groups, geometric group theory, and statistical mechanics.

Author : Richard Douglas Canary
Publisher : American Mathematical Soc.
Page : 229 pages
File Size : 53,8 Mb
Release : 2007
Category : Mathematics
ISBN : 9780821842270

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In the Tradition of Ahlfors-Bers, IV by Richard Douglas Canary Pdf

The Ahlfors-Bers Colloquia commemorate the mathematical legacy of Lars Ahlfors and Lipman Bers. The core of this legacy lies in the fields of geometric function theory, Teichmuller theory, hyperbolic manifolds, and partial differential equations. However, the work of Ahlfors and Bers has impacted and created interactions with many other fields, such as algebraic geometry, mathematical physics, dynamics, geometric group theory, number theory, and topology. The triannual Ahlford-Bers colloquia serve as a venue to disseminate the relevant work to the wider mathematical community and bring the key participants together to ponder future directions in the field. The present volume includes a wide range of articles in the fields central to this legacy. The majority of articles present new results, but there are expository articles as well.

Author : William Abikoff,Andrew Haas
Publisher : American Mathematical Soc.
Page : 351 pages
File Size : 42,8 Mb
Release : 2004
Category : Mathematics
ISBN : 9780821836071

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In the Tradition of Ahlfors and Bers, III by William Abikoff,Andrew Haas Pdf

This proceedings volume reflects the 2001 Ahlfors-Bers Colloquium held at the University of Connecticut (Storrs). This conference began nearly a half century ago with a tradition based on profound mathematics, wide-ranging interests, personal involvement, and scholarship. Once led by Lipman Bers and Lars Ahlfors, the core of this tradition unfolded around geometric function theory. Talks at the colloquium were devoted to various aspects of complex analysis, including Teichmuller spaces, quasiconformal mappings, and geometric function theory. The book is suitable for graduate students and researchers interested in complex analysis.

Author : Anonim
Publisher : American Mathematical Soc.
Page : 329 pages
File Size : 48,7 Mb
Release : 2010
Category : Functions
ISBN : 082185836X

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In the Tradition of AhlforsBers, V by Anonim Pdf

Author : Athanase Papadopoulos
Publisher : European Mathematical Society
Page : 876 pages
File Size : 46,6 Mb
Release : 2007
Category : Teichm uller spaces
ISBN : 3037191031

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Handbook of Teichmüller Theory by Athanase Papadopoulos Pdf

The subject of this handbook is Teichmuller theory in a wide sense, namely the theory of geometric structures on surfaces and their moduli spaces. This includes the study of vector bundles on these moduli spaces, the study of mapping class groups, the relation with $3$-manifolds, the relation with symmetric spaces and arithmetic groups, the representation theory of fundamental groups, and applications to physics. Thus the handbook is a place where several fields of mathematics interact: Riemann surfaces, hyperbolic geometry, partial differential equations, several complex variables, algebraic geometry, algebraic topology, combinatorial topology, low-dimensional topology, theoretical physics, and others. This confluence of ideas toward a unique subject is a manifestation of the unity and harmony of mathematics. This volume contains surveys on the fundamental theory as well as surveys on applications to and relations with the fields mentioned above. It is written by leading experts in these fields. Some of the surveys contain classical material, while others present the latest developments of the theory as well as open problems. This volume is divided into the following four sections: The metric and the analytic theory The group theory The algebraic topology of mapping class groups and moduli spaces Teichmuller theory and mathematical physics This handbook is addressed to graduate students and researchers in all the fields mentioned.

Author : Volodymyr Nekrashevych
Publisher : American Mathematical Society
Page : 708 pages
File Size : 52,6 Mb
Release : 2022-10-07
Category : Mathematics
ISBN : 9781470463809

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Groups and Topological Dynamics by Volodymyr Nekrashevych Pdf

This book is devoted to group-theoretic aspects of topological dynamics such as studying groups using their actions on topological spaces, using group theory to study symbolic dynamics, and other connections between group theory and dynamical systems. One of the main applications of this approach to group theory is the study of asymptotic properties of groups such as growth and amenability. The book presents recently developed techniques of studying groups of dynamical origin using the structure of their orbits and associated groupoids of germs, applications of the iterated monodromy groups to hyperbolic dynamical systems, topological full groups and their properties, amenable groups, groups of intermediate growth, and other topics. The book is suitable for graduate students and researchers interested in group theory, transformations defined by automata, topological and holomorphic dynamics, and theory of topological groupoids. Each chapter is supplemented by exercises of various levels of complexity.

Author : Steve Nadis
Publisher : Harvard University Press
Page : 281 pages
File Size : 45,7 Mb
Release : 2013-11-01
Category : Mathematics
ISBN : 9780674726550

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A History in Sum by Steve Nadis Pdf

In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard's mathematics department was at the center of these developments. A History in Sum is an inviting account of the pioneers who trailblazed a distinctly American tradition of mathematics--in algebraic geometry, complex analysis, and other esoteric subdisciplines that are rarely written about outside of journal articles or advanced textbooks. The heady mathematical concepts that emerged, and the men and women who shaped them, are described here in lively, accessible prose. The story begins in 1825, when a precocious sixteen-year-old freshman, Benjamin Peirce, arrived at the College. He would become the first American to produce original mathematics--an ambition frowned upon in an era when professors largely limited themselves to teaching. Peirce's successors transformed the math department into a world-class research center, attracting to the faculty such luminaries as George David Birkhoff. Influential figures soon flocked to Harvard, some overcoming great challenges to pursue their elected calling. A History in Sum elucidates the contributions of these extraordinary minds and makes clear why the history of the Harvard mathematics department is an essential part of the history of mathematics in America and beyond.

Author : Yunping Jiang,Sudeb Mitra
Publisher : American Mathematical Soc.
Page : 386 pages
File Size : 48,7 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821853405

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Quasiconformal Mappings, Riemann Surfaces, and Teichmuller Spaces by Yunping Jiang,Sudeb Mitra Pdf

This volume contains the proceedings of the AMS Special Session on Quasiconformal Mappings, Riemann Surfaces, and Teichmuller Spaces, held in honor of Clifford J. Earle, from October 2-3, 2010, in Syracuse, New York. This volume includes a wide range of papers on Teichmuller theory and related areas. It provides a broad survey of the present state of research and the applications of quasiconformal mappings, Riemann surfaces, complex dynamical systems, Teichmuller theory, and geometric function theory. The papers in this volume reflect the directions of research in different aspects of these fields and also give the reader an idea of how Teichmuller theory intersects with other areas of mathematics.

Author : C. S. Aravinda,William M. Goldman, Krishnendu Gongopadhyay, Alexander Lubotzky, Mahan Mj,Anthony Weaver
Publisher : American Mathematical Soc.
Page : 369 pages
File Size : 54,6 Mb
Release : 2015-05-01
Category : Discrete groups
ISBN : 9780821898826

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Geometry, Groups and Dynamics by C. S. Aravinda,William M. Goldman, Krishnendu Gongopadhyay, Alexander Lubotzky, Mahan Mj,Anthony Weaver Pdf

This volume contains the proceedings of the ICTS Program: Groups, Geometry and Dynamics, held December 3-16, 2012, at CEMS, Almora, India. The activity was an academic tribute to Ravi S. Kulkarni on his turning seventy. Articles included in this volume, both introductory and advanced surveys, represent the broad area of geometry that encompasses a large portion of group theory (finite or otherwise) and dynamics in its proximity. These areas have been influenced by Kulkarni's ideas and are closely related to his work and contribution.

Author : Robert Sims,Daniel Ueltschi
Publisher : American Mathematical Soc.
Page : 216 pages
File Size : 40,8 Mb
Release : 2010-11-04
Category : Science
ISBN : 9780821852477

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Entropy and the Quantum by Robert Sims,Daniel Ueltschi Pdf

These lecture notes provide a pedagogical introduction to quantum mechanics and to some of the mathematics that has been motivated by this field. They are a product of the school ``Entropy and the Quantum'', which took place in Tucson, Arizona, in 2009. They have been written primarily for young mathematicians, but they will also prove useful to more experienced analysts and mathematical physicists. In the first contribution, William Faris introduces the mathematics of quantum mechanics. Robert Seiringer and Eric Carlen review certain recent developments in stability of matter and analytic inequalities, respectively. Bruno Nachtergaele and Robert Sims review locality results for quantum systems, and Christopher King deals with additivity conjectures and quantum information theory. The final article, by Christian Hainzl, describes applications of analysis to the Shandrasekhar limit of stellar masses.

Author : Emilio Bujalance,Francisco Javier Cirre,José Manuel Gamboa,Grzegorz Gromadzki
Publisher : Springer
Page : 164 pages
File Size : 52,7 Mb
Release : 2010-09-29
Category : Mathematics
ISBN : 9783642148286

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Symmetries of Compact Riemann Surfaces by Emilio Bujalance,Francisco Javier Cirre,José Manuel Gamboa,Grzegorz Gromadzki Pdf

This monograph covers symmetries of compact Riemann surfaces. It examines the number of conjugacy classes of symmetries, the numbers of ovals of symmetries and the symmetry types of Riemann surfaces.

Author : Aiden A. Bruen,David L. Wehlau
Publisher : American Mathematical Soc.
Page : 255 pages
File Size : 46,9 Mb
Release : 2010-09-03
Category : Mathematics
ISBN : 9780821849569

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Error-Correcting Codes, Finite Geometries and Cryptography by Aiden A. Bruen,David L. Wehlau Pdf

This interdisciplinary volume contains papers from both a conference and special session on Error-Control Codes, Information Theory and Applied Cryptography. The conference was held at the Fields Institute in Toronto, On, Canada from December 5-6, 2007, and the special session was held at the Canadian Mathematical Society's winter meeting in London, ON, Canada from December 8-10, 2007. The volume features cutting-edge theoretical results on the Reed-Muller and Reed-Solomon codes, classical linear codes, codes from nets and block designs, LDPC codes, perfect quantum and orthogonal codes, iterative decoding, magnetic storage and digital memory devices, and MIMO channels. There are new contributions on privacy reconciliation, resilient functions, cryptographic hash functions, and new work on quantum coins. Related original work in finite geometries concerns two-weight codes coming from partial spreads, (0, 1) matrices with forbidden configurations, Andre embeddings, and representations of projective spaces in affine planes. Great care has been taken to ensure that high expository standards are met by the papers in this volume. Accordingly, the papers are written in a user-friendly format. The hope is that this volume will be of interst and of benefit both to the experienced and to newcomers alike.

Author : José Ignacio Cogolludo-Agustín,Eriko Hironaka
Publisher : American Mathematical Soc.
Page : 496 pages
File Size : 53,9 Mb
Release : 2011
Category : Algebraic topology
ISBN : 9780821848906

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Topology of Algebraic Varieties and Singularities by José Ignacio Cogolludo-Agustín,Eriko Hironaka Pdf

This volume contains invited expository and research papers from the conference Topology of Algebraic Varieties, in honour of Anatoly Libgober's 60th birthday, held June 22-26, 2009, in Jaca, Spain.

Author : Albert Fathi,Yong-Geun Oh,Claude Viterbo
Publisher : American Mathematical Soc.
Page : 192 pages
File Size : 42,5 Mb
Release : 2010-04-09
Category : Mathematics
ISBN : 9780821848920

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Symplectic Topology and Measure Preserving Dynamical Systems by Albert Fathi,Yong-Geun Oh,Claude Viterbo Pdf

The papers in this volume were presented at the AMS-IMS-SIAM Joint Summer Research Conference on Symplectic Topology and Measure Preserving Dynamical Systems held in Snowbird, Utah in July 2007. The aim of the conference was to bring together specialists of symplectic topology and of measure preserving dynamics to try to connect these two subjects. One of the motivating conjectures at the interface of these two fields is the question of whether the group of area preserving homeomorphisms of the 2-disc is or is not simple. For diffeomorphisms it was known that the kernel of the Calabi invariant is a normal proper subgroup, so the group of area preserving diffeomorphisms is not simple. Most articles are related to understanding these and related questions in the framework of modern symplectic topology.