University Lecture Series – serie
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72 produkter
Polynomial Methods in Combinatorics
Av Larry Guth
Häftad, 2016
837 kr
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This book explains some recent applications of the theory of polynomials and algebraic geometry to combinatorics and other areas of mathematics. One of the first results in this story is a short elegant solution of the Kakeya problem for finite fields, which was considered a deep and difficult …
Topological Invariants of Plane Curves and Caustics
Av American Mathematical Society
Häftad, 1994
837 kr
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This book describes recent progress in the topological study of plane curves. The theory of plane curves is much richer than knot theory, which may be considered the commutative version of the theory of plane curves. This study is based on singularity theory: the infinite-dimensional space of …
J-holomorphic Curves and Quantum Cohomology
Av American Mathematical Society
Häftad, 1994
837 kr
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$J$-holomorphic curves revolutionized the study of symplectic geometry when Gromov first introduced them in 1985. Through quantum cohomology, these curves are now linked to many of the most exciting new ideas in mathematical physics. This book presents the first coherent and full account of the …
Grobner Bases and Convex Polytopes
Häftad, 1995
837 kr
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This book is about the interplay of computational commutative algebra and the theory of convex polytopes. It centers around a special class of ideals in a polynomial ring: the class of toric ideals. They are characterized as those prime ideals that are generated by monomial differences or as the …
Some Points of Analysis and Their History
Av American Mathematical Society
Häftad, 1997
837 kr
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This book is a collection of small essays containing the history and the proofs of some important and interesting theorems of analysis and partial differential operators in this century. Most of the results in the book are associated with Swedish mathematicians. Also included are the …
Symmetric Functions and Orthogonal Polynomials
Häftad, 1997
837 kr
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One of the most classical areas of algebra, the theory of symmetric functions and orthogonal polynomials has long been known to be connected to combinatorics, representation theory, and other branches of mathematics. Written by perhaps the most famous author on the topic, this volume explains some …
Confoliations
Av Yakov Eliashberg, William P. Thurston
Häftad, 1997
837 kr
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This book presents the first steps of a theory of confoliations designed to link geometry and topology of three-dimensional contact structures with the geometry and topology of codimension-one foliations on three-dimensional manifolds. Developing almost independently, these theories at first glance …
Iwahori-Hecke Algebras and Schur Algebras of the Symmetric Group
Av American Mathematical Society
Häftad, 1999
837 kr
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This volume presents a fully self-contained introduction to the modular representation theory of the Iwahori-Hecke algebras of the symmetric groups and of the $q$-Schur algebras. The study of these algebras was pioneered by Dipper and James in a series of landmark papers. The primary goal of the …
Lectures on Hilbert Schemes of Points on Surfaces
Av American Mathematical Society
Häftad, 1999
837 kr
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The Hilbert scheme $X^{[n]}$ of a surface $X$ describes collections of $n$ (not necessarily distinct) points on $X$. More precisely, it is the moduli space for $0$-dimensional subschemes of $X$ of length $n$. Recently it was realized that Hilbert schemes originally studied in algebraic geometry are …
Admissible Invariant Distributions on Reductive P-adic Groups
Av American Mathematical Society
Häftad, 1999
837 kr
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Harish-Chandra presented these lectures on admissible invariant distributions for $p$-adic groups at the Institute for Advanced Study in the early 1970s. He published a short sketch of this material as his famous ""Queen's Notes"". This book, which was prepared and edited by DeBacker and Sally, …
Lectures on Tensor Categories and Modular Functors
Av Bojko Bakalov, Alexander A. Kirillov, Jr.
Häftad, 2000
837 kr
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This book gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors (which naturally arise in 2-dimensional …
Introduction to Superprocesses
Av American Mathematical Society
Häftad, 2000
837 kr
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Over the past 20 years, the study of superprocesses has expanded into a major industry and can now be regarded as a central theme in modern probability theory. This book is intended as a rapid introduction to the subject, geared toward graduate students and researchers in stochastic analysis. A …
Harmonic Measure
Geometric and Analytic Points of View
Av American Mathematical Society
Häftad, 2005
837 kr
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Recent developments in geometric measure theory and harmonic analysis have led to new and deep results concerning the regularity of the support of measures which behave 'asymptotically' (for balls of small radius) as the Euclidean volume. A striking feature of these results is that they actually …
Oscillating Patterns in Image Processing and Nonlinear Evolution Equations
The Fifteenth Dean Jacqueline B.Lewis Memorial Lectures
Av Yves Meyer
Häftad, 2001
837 kr
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Image compression, the Navier-Stokes equations, and detection of gravitational waves are three seemingly unrelated scientific problems that, remarkably, can be studied from one perspective. The notion that unifies the three problems is that of 'oscillating patterns', which are present in many …
Lyapunov Exponents and Smooth Ergodic Theory
Av American Mathematical Society
Häftad, 2001
837 kr
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This book is a systematic introduction to smooth ergodic theory. The topics discussed include the general (abstract) theory of Lyapunov exponents and its applications to the stability theory of differential equations, stable manifold theory, absolute continuity, and the ergodic theory of dynamical …
Moduli Problem for Plane Branches
Av American Mathematical Society
Häftad, 2006
837 kr
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Moduli problems in algebraic geometry date back to Riemann's famous count of the $3g-3$ parameters needed to determine a curve of genus $g$. In this book, Zariski studies the moduli space of curves of the same equisingularity class. After setting up and reviewing the basic material, Zariski devotes …
Generalized Analytic Continuation
Av American Mathematical Society
Häftad, 2002
837 kr
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The theory of generalized analytic continuation studies continuations of meromorphic functions in situations where traditional theory says there is a natural boundary. This broader theory touches on a remarkable array of topics in classical analysis, as described in the book. This book addresses …
Torus Actions and Their Applications in Topology and Combinatorics
Av American Mathematical Society
Häftad, 2002
837 kr
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This book presents the study of torus actions on topological spaces that is presented as a bridge connecting combinatorial and convex geometry with commutative and homological algebra, algebraic geometry, and topology. This established link helps in understanding the geometry and topology of a …
Conformal, Riemannian and Lagrangian Geometry
The 2000 Barrett Lectures
Av American Mathematical Society
Häftad, 2002
837 kr
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Recent developments in topology and analysis have led to the creation of new lines of investigation in differential geometry. ""The 2000 Barrett Lectures"" present the background, context and main techniques of three such lines by means of surveys by leading researchers. The first chapter (by Alice …
Representations of Quantum Algebras and Combinatorics of Young Tableaux
Av American Mathematical Society
Häftad, 2002
837 kr
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This book contains most of the nonstandard material necessary to get acquainted with this new rapidly developing area. It can be used as a good entry point into the study of representations of quantum groups. Among several tools used in studying representations of quantum groups (or quantum …
Cohomological Invariants in Galois Cohomology
Av American Mathematical Society
Häftad, 2003
837 kr
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This volume addresses algebraic invariants that occur in the confluence of several important areas of mathematics, including number theory, algebra, and arithmetic algebraic geometry. The invariants are analogues for Galois cohomology of the characteristic classes of topology, which have been …
Lectures on Coarse Geometry
Av American Mathematical Society
Häftad, 2003
837 kr
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Coarse geometry is the study of spaces (particularly metric spaces) from a 'large scale' point of view, so that two spaces that look the same from a great distance are actually equivalent. This point of view is effective because it is often true that the relevant geometric properties of metric …
Lectures on Harmonic Analysis
Av American Mathematical Society
Häftad, 2003
889 kr
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'There were lots of young analysts who flocked to Chicago in those years, but virtually from the start it was clear that Tom had a special brilliance...Eventually, the mathematical door would open a crack as Tom discovered a new technique, usually of astonishing originality. The end would now be in …
Combinatorial Constructions in Ergodic Theory and Dynamics
Av American Mathematical Society
Häftad, 2003
837 kr
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Ergodic theory studies measure-preserving transformations of measure spaces. These objects are intrinsically infinite, and the notion of an individual point or of an orbit makes no sense. Still there are a variety of situations when a measure-preserving transformation (and its asymptotic behavior) …
Interpolation and Sampling in Spaces of Analytic Functions
Av American Mathematical Society
Häftad, 2004
837 kr
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This book contains the latest developments in a central theme of research on analysis of one complex variable. The material is based on lectures at the University of Michigan. The exposition is about understanding the geometry of interpolating and sampling sequences in classical spaces of analytic …
Lectures on Quasiconformal Mappings
Av American Mathematical Society
Häftad, 2006
837 kr
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Lars Ahlfors' Lectures on Quasiconformal Mappings, based on a course he gave at Harvard University in the spring term of 1964, was first published in 1966 and was soon recognized as the classic it was shortly destined to become. These lectures develop the theory of quasiconformal mappings from …
Superdiffusions and Positive Solutions of Nonlinear Partial Differential Equations
Av American Mathematical Society
Häftad, 2004
837 kr
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This book is devoted to the applications of probability theory to the theory of nonlinear partial differential equations. More precisely, it is shown that all positive solutions for a class of nonlinear elliptic equations in a domain are described in terms of their traces on the boundary of the …
Dynamics of Infinite-dimensional Groups
The Ramsey-Dvoretzky-Milman Phenomenon
Av American Mathematical Society
Häftad, 2006
837 kr
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The ""infinite-dimensional groups"" in the title refer to unitary groups of Hilbert spaces, the infinite symmetric group, groups of homeomorphisms of manifolds, groups of transformations of measure spaces, etc. The book presents an approach to the study of such groups based on ideas from geometric …
Zeros of Gaussian Analytic Functions and Determinantal Point Processes
Av American Mathematical Society
Häftad, 2009
837 kr
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The book examines in some depth two important classes of point processes, determinantal processes and 'Gaussian zeros', i.e., zeros of random analytic functions with Gaussian coefficients. These processes share a property of 'point-repulsion', where distinct points are less likely to fall close to …
Q,T-Catalan Numbers and the Space of Diagonal Harmonics
Häftad, 2007
837 kr
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This book contains detailed descriptions of the many exciting recent developments in the combinatorics of the space of diagonal harmonics, a topic at the forefront of current research in algebraic combinatorics. These developments led in turn to some surprising discoveries in the combinatorics of …
