Noncompact Problems at the Intersection of Geometry, Analysis, and Topology

Noncompact Problems at the Intersection of Geometry, Analysis, and Topology PDF Author: Abbas Bahri
Publisher: American Mathematical Soc.
ISBN: 0821836358
Category : Mathematics
Languages : en
Pages : 266

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Book Description
This proceedings volume contains articles from the conference held at Rutgers University in honor of Haim Brezis and Felix Browder, two mathematicians who have had a profound impact on partial differential equations, functional analysis, and geometry. Mathematicians attending the conference had interests in noncompact variational problems, pseudo-holomorphic curves, singular and smooth solutions to problems admitting a conformal (or some group) invariance, Sobolev spaces on manifolds, and configuration spaces. One day of the proceedings was devoted to Einstein equations and related topics. Contributors to the volume include, among others, Sun-Yung A. Chang, Luis A. Caffarelli, Carlos E. Kenig, and Gang Tian. The material is suitable for graduate students and researchers interested in problems in analysis and differential equations on noncompact manifolds.

The $p$-Harmonic Equation and Recent Advances in Analysis

The $p$-Harmonic Equation and Recent Advances in Analysis PDF Author: Pietro Poggi-Corradini
Publisher: American Mathematical Soc.
ISBN: 0821836102
Category : Mathematics
Languages : en
Pages : 226

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Book Description
Comprised of papers from the IIIrd Prairie Analysis Seminar held at Kansas State University, this book reflects the many directions of current research in harmonic analysis and partial differential equations. Included is the work of the distinguished main speaker, Tadeusz Iwaniec, his invited guests John Lewis and Juan Manfredi, and many other leading researchers. The main topic is the so-called p-harmonic equation, which is a family of nonlinear partial differential equations generalizing the usual Laplace equation. This study of p-harmonic equations touches upon many areas of analysis with deep relations to functional analysis, potential theory, and calculus of variations. The material is suitable for graduate students and research mathematicians interested in harmonic analysis and partial differential equations.

Geometric Methods in Group Theory

Geometric Methods in Group Theory PDF Author: José Burillo
Publisher: American Mathematical Soc.
ISBN: 0821833626
Category : Mathematics
Languages : en
Pages : 242

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Book Description
This volume presents articles by speakers and participants in two AMS special sessions, Geometric Group Theory and Geometric Methods in Group Theory, held respectively at Northeastern University (Boston, MA) and at Universidad de Sevilla (Spain). The expository and survey articles in the book cover a wide range of topics, making it suitable for researchers and graduate students interested in group theory.

Affine Algebraic Geometry

Affine Algebraic Geometry PDF Author: Jaime Gutierrez
Publisher: American Mathematical Soc.
ISBN: 0821834762
Category : Mathematics
Languages : en
Pages : 288

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Book Description
A Special Session on affine and algebraic geometry took place at the first joint meeting between the American Mathematical Society (AMS) and the Real Sociedad Matematica Espanola (RSME) held in Seville (Spain). This volume contains articles by participating speakers at the Session. The book contains research and survey papers discussing recent progress on the Jacobian Conjecture and affine algebraic geometry and includes a large collection of open problems. It is suitable for graduate students and research mathematicians interested in algebraic geometry.

Commutative Algebra and Algebraic Geometry

Commutative Algebra and Algebraic Geometry PDF Author: Sudhir Ghorpade
Publisher: American Mathematical Soc.
ISBN: 0821836293
Category : Mathematics
Languages : en
Pages : 192

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Book Description
The first Joint AMS-India Mathematics Meeting was held in Bangalore (India). This book presents articles written by speakers from a special session on commutative algebra and algebraic geometry. Included are contributions from some leading researchers around the world in this subject area. The volume contains new and original research papers and survey articles suitable for graduate students and researchers interested in commutative algebra and algebraic geometry.

Snowbird Lectures in Algebraic Geometry

Snowbird Lectures in Algebraic Geometry PDF Author: Ravi Vakil
Publisher: American Mathematical Soc.
ISBN: 0821837192
Category : Mathematics
Languages : en
Pages : 202

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Book Description
A significant part of the 2004 Summer Research Conference on Algebraic Geometry (Snowbird, UT) was devoted to lectures introducing the participants, in particular, graduate students and recent Ph.D.'s, to a wide swathe of algebraic geometry and giving them a working familiarity with exciting, rapidly developing parts of the field. One of the main goals of the organizers was to allow the participants to broaden their horizons beyond the narrow area in which they are working. A fine selection of topics and a noteworthy list of contributors made the resulting collection of articles a useful resource for everyone interested in getting acquainted with the modern topic of algebraic geometry. The book consists of ten articles covering, among others, the following topics: the minimal model program, derived categories of sheaves on algebraic varieties, Kobayashi hyperbolicity, groupoids and quotients in algebraic geometry, rigid analytic varieties, and equivariant cohomology. Suitable for independent study, this unique volume is intended for graduate students and researchers interested in algebraic geometry.

Integer Points in Polyhedra -- Geometry, Number Theory, Algebra, Optimization

Integer Points in Polyhedra -- Geometry, Number Theory, Algebra, Optimization PDF Author: Alexander Barvinok
Publisher: American Mathematical Soc.
ISBN: 0821834592
Category : Mathematics
Languages : en
Pages : 210

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Book Description
The AMS-IMS-SIAM Summer Research Conference on Integer Points in Polyhedra took place in Snowbird (UT). This proceedings volume contains original research and survey articles stemming from that event. Topics covered include commutative algebra, optimization, discrete geometry, statistics, representation theory, and symplectic geometry. The book is suitable for researchers and graduate students interested in combinatorial aspects of the above fields.

Geometric Evolution Equations

Geometric Evolution Equations PDF Author: Shu-Cheng Chang
Publisher: American Mathematical Soc.
ISBN: 0821833618
Category : Mathematics
Languages : en
Pages : 250

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Book Description
The Workshop on Geometric Evolution Equations was a gathering of experts that produced this comprehensive collection of articles. Many of the papers relate to the Ricci flow and Hamilton's program for understanding the geometry and topology of 3-manifolds. The use of evolution equations in geometry can lead to remarkable results. Of particular interest is the potential solution of Thurston's Geometrization Conjecture and the Poincare Conjecture. Yet applying the method poses serious technical problems. Contributors to this volume explain some of these issues and demonstrate a noteworthy deftness in the handling of technical areas. Various topics in geometric evolution equations and related fields are presented. Among other topics covered are minimal surface equations, mean curvature flow, harmonic map flow, Calabi flow, Ricci flow (including a numerical study), Kahler-Ricci flow, function theory on Kahler manifolds, flows of plane curves, convexity estimates, and the Christoffel-Minkowski problem. The material is suitable for graduate students and researchers interested in geometric analysis and connections to topology. Related titles of interest include The Ricci Flow: An Introduction.

Geometry and Dynamics

Geometry and Dynamics PDF Author: A. Verjovsky
Publisher: American Mathematical Soc.
ISBN: 0821838512
Category : Mathematics
Languages : en
Pages : 216

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Book Description
This volume is based on talks given at the Conference in Honor of the 60th Anniversary of Alberto Verjovsky, a prominent mathematician in Latin America who made significant contributions to dynamical systems, geometry, and topology. Articles in the book present recent work in these areas and are suitable for graduate students and research mathematicians.

Noncommutative Geometry and Representation Theory in Mathematical Physics

Noncommutative Geometry and Representation Theory in Mathematical Physics PDF Author: Jürgen Fuchs
Publisher: American Mathematical Soc.
ISBN: 0821837184
Category : Mathematics
Languages : en
Pages : 402

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Book Description
Mathematics provides a language in which to formulate the laws that govern nature. It is a language proven to be both powerful and effective. In the quest for a deeper understanding of the fundamental laws of physics, one is led to theories that are increasingly difficult to put to the test. In recent years, many novel questions have emerged in mathematical physics, particularly in quantum field theory. Indeed, several areas of mathematics have lately become increasingly influentialin physics and, in turn, have become influenced by developments in physics. Over the last two decades, interactions between mathematicians and physicists have increased enormously and have resulted in a fruitful cross-fertilization of the two communities. This volume contains the plenary talks fromthe international symposium on Noncommutative Geometry and Representation Theory in Mathematical Physics held at Karlstad University (Sweden) as a satellite conference to the Fourth European Congress of Mathematics. The scope of the volume is large and its content is relevant to various scientific communities interested in noncommutative geometry and representation theory. It offers a comprehensive view of the state of affairs for these two branches of mathematical physics. The book is suitablefor graduate students and researchers interested in mathematical physics.