IAS/Park City Mathematics Series – serie
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28 produkter
Geometry and Quantum Field Theory
Av American Mathematical Society
Häftad, 1995
1500 kr
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Exploring topics from classical and quantum mechanics and field theory, this book is based on lectures presented in the Graduate Summer School at the Regional Geometry Institute in Park City, Utah, in 1991. The chapter by Bryant treats Lie groups and symplectic geometry, examining not only the …
Nonlinear Partial Differential Equations in Differential Geometry
Av American Mathematical Society
Häftad, 1995
1500 kr
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Probability Theory and Applications
Av Elton P. Hsu, S.R.S. Varadham
Inbunden, 1999
1500 kr
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This volume, with contributions by leading experts in the field, is a collection of lecture notes of the six mini courses given at the IAS/Park City Summer Mathematics Institute. It introduces advanced graduates and researchers in probability theory to several of the currently active research areas …
Hyperbolic Equations and Frequency Interactions
Av Luis A. Caffarelli, E. Weinan
Inbunden, 1998
1500 kr
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The research topic for this IAS/PCMI Summer Session was nonlinear wave phenomena. Mathematicians from the more theoretical areas of PDEs were brought together with those involved in applications. The goal was to share ideas, knowledge, and perspectives. How waves, or 'frequencies', interact in …
Complex Algebraic Geometry
Av American Mathematical Society
Häftad, 1997
1500 kr
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This volume contains the lectures presented at the third Regional Geometry Institute at Park City in 1993. The lectures provide an introduction to the subject, complex algebraic geometry, making the book suitable as a text for second- and third-year graduate students. The book deals with topics in …
Automorphic Forms and Applications
Av American Mathematical Society
Inbunden, 2007
1500 kr
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The theory of automorphic forms has seen dramatic developments in recent years. In particular, important instances of Langlands functoriality have been established. This volume presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on automorphic forms and their …
Quantum Field Theory, Supersymmetry, and Enumerative Geometry
Av American Mathematical Society
Inbunden, 2006
1500 kr
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Each summer the IAS/Park City Mathematics Institute Graduate Summer School gathers some of the best researchers and educators in a particular field to present diverse sets of lectures. This volume presents three weeks of lectures given at the Summer School on Quantum Field Theory, Super symmetry, …
Geometric Combinatorics
Av Ezra Miller, Victor Reiner m. fl.
Inbunden, 2007
1500 kr
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Geometric combinatorics describes a wide area of mathematics that is primarily the study of geometric objects and their combinatorial structure. Perhaps the most familiar examples are polytopes and simplicial complexes, but the subject is much broader. This volume is a compilation of expository …
Symplectic Geometry and Topology
Av American Mathematical Society
Häftad, 2006
1500 kr
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Symplectic geometry has its origins as a geometric language for classical mechanics. But it has recently exploded into an independent field interconnected with many other areas of mathematics and physics. The goal of the IAS/Park City Mathematics Institute Graduate Summer School on Symplectic …
Arithmetic Algebraic Geometry
Häftad, 2008
1500 kr
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The articles in this volume are expanded versions of lectures delivered at the Graduate Summer School and at the Mentoring Program for Women in Mathematics held at the Institute for Advanced Study/Park City Mathematics Institute. The theme of the program was arithmetic algebraic geometry. The …
Statistical Mechanics
Av Scott Sheffield, Thomas Spencer
Inbunden, 2009
1500 kr
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In recent years, statistical mechanics has been increasingly recognized as a central domain of mathematics. Major developments include the Schramm - Loewner evolution, which describes two-dimensional phase transitions, random matrix theory, renormalization group theory and the fluctuations of …
Mathematical Biology
Av American Mathematical Society
Inbunden, 2009
1500 kr
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Each summer the IAS/Park City Mathematics Institute Graduate Summer School gathers some of the best researchers and educators in a particular field to present lectures on a major area of mathematics. A unifying theme of the mathematical biology courses presented here is that the study of biology …
Low Dimensional Topology
Av American Mathematical Society
Inbunden, 2009
1500 kr
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Low-dimensional topology has long been a fertile area for the interaction of many different disciplines of mathematics, including differential geometry, hyperbolic geometry, combinatorics, representation theory, global analysis, classical mechanics, and theoretical physics. The Park City …
Analytic and Algebraic Geometry
Common Problems, Different Methods
Av Jeffrey McNeal, Mircea Mustafa
Inbunden, 2010
1500 kr
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Analytic and algebraic geometers often study the same geometric structures but bring different methods to bear on them. While this dual approach has been spectacularly successful at solving problems, the language differences between algebra and analysis also represent a difficulty for students and …
Arithmetic of L-functions
Av Cristian Popescu, Karl Rubin m. fl.
Inbunden, 2011
1500 kr
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The overall theme of the 2009 IAS/PCMI Graduate Summer School was connections between special values of $L$-functions and arithmetic, especially the Birch and Swinnerton-Dyer Conjecture and Stark's Conjecture. These conjectures are introduced and discussed in depth, and progress made over the last …
Mathematics in Image Processing
Av Hongkai Zhao
Inbunden, 2013
1500 kr
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The theme of the 2010 PCMI Summer School was Mathematics in Image Processing in a broad sense, including mathematical theory, analysis, computation algorithms and applications. In image processing, information needs to be processed, extracted and analysed from visual content, such as photographs or …
Moduli Spaces of Riemann Surfaces
Av Benson Farb, Richard Hain m. fl.
Inbunden, 2013
1751 kr
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Mapping class groups and moduli spaces of Riemann surfaces were the topics of the Graduate Summer School at the 2011 IAS/Park City Mathematics Institute. This book presents the nine different lecture series comprising the summer school, covering a selection of topics of current interest. The …
Geometric Group Theory
Av Miaden Bestvina, Michah Sageev m. fl.
Inbunden, 2015
1500 kr
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Geometric group theory refers to the study of discrete groups using tools from topology, geometry, dynamics and analysis. The field is evolving very rapidly and the present volume provides an introduction to and overview of various topics which have played critical roles in this evolution.The book …
Geometric Analysis
Av Hubert L. Bray, Greg Galloway m. fl.
Inbunden, 2016
1500 kr
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This volume includes expanded versions of the lectures delivered in the Graduate Minicourse portion of the 2013 Park City Mathematics Institute session on Geometric Analysis. The papers give excellent high-level introductions, suitable for graduate students wishing to enter the field and …
Representation Theory of Lie Groups
Häftad, 2000
1500 kr
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This book contains written versions of the lectures given at the PCMI Graduate Summer School on the representation theory of Lie groups. The volume begins with lectures by A. Knapp and P. Trapa outlining the state of the subject around the year 1975, specifically, the fundamental results of …
Mathematics and Materials
Av Mark J. Bowick, David Kinderlehrer m. fl.
Inbunden, 2017
1500 kr
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Articles in this volume are based on lectures presented at the Park City summer school on ``Mathematics and Materials'' in July 2014. The central theme is a description of material behavior that is rooted in statistical mechanics. While many presentations of mathematical problems in materials …
Geometry of Moduli Spaces and Representation Theory
Av Roman Bezrukavnikov, Alexander Braverman m. fl.
Inbunden, 2017
1500 kr
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This book is based on lectures given at the Graduate Summer School of the 2015 Park City Mathematics Institute program ``Geometry of moduli spaces and representation theory'', and is devoted to several interrelated topics in algebraic geometry, topology of algebraic varieties, and representation …
Mathematics of Data
Av Michael W. Mahoney, John C. Duchi m. fl.
Inbunden, 2018
1500 kr
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Data science is a highly interdisciplinary field, incorporating ideas from applied mathematics, statistics, probability, and computer science, as well as many other areas. This book gives an introduction to the mathematical methods that form the foundations of machine learning and data science, …
Random Matrices
Av Alexei Borodin, Ivan Corwin m. fl.
Inbunden, 2020
1642 kr
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Random matrix theory has many roots and many branches in mathematics, statistics, physics, computer science, data science, numerical analysis, biology, ecology, engineering, and operations research. This book provides a snippet of this vast domain of study, with a particular focus on the notations …
Quantum Field Theory and Manifold Invariants
Av Daniel S. Freed, Sergei Gukov m. fl.
Inbunden, 2021
1346 kr
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This volume contains lectures from the Graduate Summer School ""Quantum Field Theory and Manifold Invariants"" held at Park City Mathematics Institute 2019. The lectures span topics in topology, global analysis, and physics, and they range from introductory to cutting edge. Topics treated include …
Number Theory Informed by Computation
Av Jennifer S. Balakrishnan, Bjorn Poonen m. fl.
Inbunden, 2026
1568 kr
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This book is a collection of lecture notes from the Graduate Summer School ""Number Theory Informed by Computation"" held at the IAS/Park City Mathematics Institute 2022. The lectures address topics at the interface between number theory and computation, both terms interpreted broadly. Included are …
Harmonic Analysis and Applications
Av Carlos E. Kenig, Fang Hua Lin m. fl.
Inbunden, 2021
1318 kr
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The origins of the harmonic analysis go back to an ingenious idea of Fourier that any reasonable function can be represented as an infinite linear combination of sines and cosines. Today's harmonic analysis incorporates the elements of geometric measure theory, number theory, probability, and has …
Gauge Theory and the Topology of Four-Manifolds
Av Robert Friedman, John W. Morgan
Häftad, 1998
1500 kr
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The lectures in this volume provide a perspective on how 4-manifold theory was studied before the discovery of modern-day Seiberg-Witten theory. One reason the progress using the Seiberg-Witten invariants was so spectacular was that those studying $SU(2)$-gauge theory had more than ten years' …
