In the Tradition of Ahlfors-Bers, VI

In the Tradition of Ahlfors-Bers, VI PDF Author: Ursula Hamenstädt
Publisher: American Mathematical Soc.
ISBN: 0821874276
Category : Mathematics
Languages : en
Pages : 203

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Book Description
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,

In the Tradition of Ahlfors-Bers, VI

In the Tradition of Ahlfors-Bers, VI PDF Author: Ursula Hamenstädt
Publisher: American Mathematical Soc.
ISBN: 0821874276
Category : Mathematics
Languages : en
Pages : 203

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Book Description
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,

In the Tradition of Ahlfors-Bers, V

In the Tradition of Ahlfors-Bers, V PDF Author: Mario Bonk
Publisher: American Mathematical Soc.
ISBN: 0821847325
Category : Mathematics
Languages : en
Pages : 346

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Book Description
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.

In the Tradition of Ahlfors-Bers, IV

In the Tradition of Ahlfors-Bers, IV PDF Author: Richard Douglas Canary
Publisher: American Mathematical Soc.
ISBN: 0821842277
Category : Mathematics
Languages : en
Pages : 250

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Book Description
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.

In the Tradition of Ahlfors-Bers, VII

In the Tradition of Ahlfors-Bers, VII PDF Author: Ara S. Basmajian
Publisher: American Mathematical Soc.
ISBN: 147042651X
Category : Mathematics
Languages : en
Pages : 264

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Book Description
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.

In the Tradition of Ahlfors and Bers, III

In the Tradition of Ahlfors and Bers, III PDF Author: William Abikoff
Publisher: American Mathematical Soc.
ISBN: 0821836072
Category : Mathematics
Languages : en
Pages : 364

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Book Description
Contains proceedings that reflects the 2001 Ahlfors-Bers Colloquium held at the University of Connecticut (Storrs). This book is suitable for graduate students and researchers interested in complex analysis.

Advances in Ultrametric Analysis

Advances in Ultrametric Analysis PDF Author: Khodr Shamseddine
Publisher: American Mathematical Soc.
ISBN: 0821891421
Category : Mathematics
Languages : en
Pages : 305

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Book Description
This volume contains papers based on lectures given at the 12th International Conference on p-adic Functional Analysis, which was held at the University of Manitoba on July 2-6, 2012. Through a combination of new research articles and survey papers, this book provides the reader with an overview of current developments and techniques in non-archimedean analysis as well as a broad knowledge of some of the sub-areas of this exciting and fast-developing research area.

Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory

Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory PDF Author: Vyjayanthi Chari
Publisher: American Mathematical Soc.
ISBN: 0821890379
Category : Mathematics
Languages : en
Pages : 222

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Book Description
This volume contains the proceedings of the International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, held August 12-16, 2010, at the National Institute of Advanced Studies, Bangalore, India, and the follow-up conference held May 18-20, 2012, at the University of California, USA. It contains original research and survey articles on various topics in the theory of representations of Lie algebras, quantum groups and algebraic groups, including crystal bases, categorification, toroidal algebras and their generalisations, vertex algebras, Hecke algebras, Kazhdan-Lusztig bases, $q$-Schur algebras, and Weyl algebras.

Geometric Analysis, Mathematical Relativity, and Nonlinear Partial Differential Equations

Geometric Analysis, Mathematical Relativity, and Nonlinear Partial Differential Equations PDF Author: Mohammad Ghomi
Publisher: American Mathematical Soc.
ISBN: 0821891499
Category : Mathematics
Languages : en
Pages : 256

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Book Description
This volume presents the proceedings of the Southeast Geometry Seminar for the meetings that took place bi-annually between the fall of 2009 and the fall of 2011, at Emory University, Georgia Institute of Technology, University of Alabama Birmingham, and the University of Tennessee. Talks at the seminar are devoted to various aspects of geometric analysis and related fields, in particular, nonlinear partial differential equations, general relativity, and geometric topology. Articles in this volume cover the following topics: a new set of axioms for General Relativity, CR manifolds, the Mane Conjecture, minimal surfaces, maximal measures, pendant drops, the Funk-Radon-Helgason method, ADM-mass and capacity, and extrinsic curvature in metric spaces.

Ring Theory and Its Applications

Ring Theory and Its Applications PDF Author: Dinh Van Huynh
Publisher: American Mathematical Soc.
ISBN: 0821887971
Category : Mathematics
Languages : en
Pages : 330

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Book Description
This volume contains the proceedings of the Ring Theory Session in honor of T. Y. Lam's 70th birthday, at the 31st Ohio State-Denison Mathematics Conference, held from May 25-27, 2012, at The Ohio State University, Columbus, Ohio. Included are expository articles and research papers covering topics such as cyclically presented modules, Eggert's conjecture, the Mittag-Leffler conditions, clean rings, McCoy rings, QF rings, projective and injective modules, Baer modules, and Leavitt path algebras. Graduate students and researchers in many areas of algebra will find this volume valuable as the papers point out many directions for future work; in particular, several articles contain explicit lists of open questions.

Recent Advances in Real Complexity and Computation

Recent Advances in Real Complexity and Computation PDF Author: Luis M. Pardo
Publisher: American Mathematical Soc.
ISBN: 0821891502
Category : Computers
Languages : en
Pages : 202

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Book Description
This volume is composed of six contributions derived from the lectures given during the UIMP-RSME Lluis Santalo Summer School on ``Recent Advances in Real Complexity and Computation'', held July 16-20, 2012, in Santander, Spain. The goal of this Summer School was to present some of the recent advances on Smale's 17th Problem: ``Can a zero of $n$ complex polynomial equations in $n$ unknowns be found approximately, on the average, in polynomial time with a uniform algorithm?'' These papers cover several aspects of this problem: from numerical to symbolic methods in polynomial equation solving, computational complexity aspects (both worse and average cases and both upper and lower complexity bounds) as well as aspects of the underlying geometry of the problem. Some of the contributions also deal with either real or multiple solutions solving.