Annals of Mathematics Studies – serie
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266 produkter
Calculi of Lambda-Conversion
Häftad, 1985
571 kr
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The description for this book, The Calculi of Lambda Conversion. (AM-6), will be forthcoming.
Introductory Lectures on Equivariant Cohomology
Av Loring W. Tu
Häftad, 2020
844 kr
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This book gives a clear introductory account of equivariant cohomology, a central topic in algebraic topology. Equivariant cohomology is concerned with the algebraic topology of spaces with a group action, or in other words, with symmetries of spaces. First defined in the 1950s, it has been …
What Determines an Algebraic Variety?
Av János Kollár, Max Lieblich m. fl.
Inbunden, 2023
1502 kr
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A pioneering new nonlinear approach to a fundamental question in algebraic geometryOne of the crowning achievements of nineteenth-century mathematics was the proof that the geometry of lines in space uniquely determines the Cartesian coordinates, up to a linear ambiguity. What Determines an …
Einstein-Klein-Gordon Coupled System
Global Stability of the Minkowski Solution
Av Alexandru D. Ionescu, Benoît Pausader
Inbunden, 2022
1758 kr
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A definitive proof of global nonlinear stability of Minkowski space-time as a solution of the Einstein-Klein-Gordon equationsThis book provides a definitive proof of global nonlinear stability of Minkowski space-time as a solution of the Einstein-Klein-Gordon equations of general relativity. Along …
Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik
Av Camillo De Lellis, Elia Brué m. fl.
Inbunden, 2024
1502 kr
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An essential companion to M. Vishik’s groundbreaking work in fluid mechanicsThe incompressible Euler equations are a system of partial differential equations introduced by Leonhard Euler more than 250 years ago to describe the motion of an inviscid incompressible fluid. These equations can be …
Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups
Av Nicholas M. Katz, Pham Huu Tiep
Inbunden, 2025
2483 kr
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An examination of some of the remarkable connections between group theory and arithmetic algebraic geometry over finite fieldsExponential sums have been of great interest ever since Gauss, and their importance in analytic number theory goes back a century to Kloosterman. Grothendieck’s creation of …
Higher Topos Theory
Av Jacob Lurie
Häftad, 2009
989 kr
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Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible. In Higher Topos Theory, Jacob Lurie presents the foundations of …
Weil's Conjecture for Function Fields
Volume I
Av Dennis Gaitsgory, Jacob Lurie
Häftad, 2019
844 kr
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A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of various completions of K. This book looks at a specific example of a local-to-global principle: Weil’s conjecture on the Tamagawa number of a …
Entire Holomorphic Mappings in One and Several Complex Variables
Häftad, 1976
1206 kr
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The present monograph grew out of the fifth set of Hermann Weyl Lectures, given by Professor Griffiths at the Institute for Advanced Study, Princeton, in fall 1974. In Chapter 1 the author discusses Emile Borel's proof and the classical Jensen theorem, order of growth of entire analytic sets, order …
Introduction to Toric Varieties
Häftad, 1993
844 kr
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Toric varieties are algebraic varieties arising from elementary geometric and combinatorial objects such as convex polytopes in Euclidean space with vertices on lattice points. Since many algebraic geometry notions such as singularities, birational maps, cycles, homology, intersection theory, and …
Commensurabilities among Lattices in PU (1,n)
Av Pierre R. Deligne, George Daniel Mostow
Häftad, 1993
1682 kr
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The first part of this monograph is devoted to a characterization of hypergeometric-like functions, that is, twists of hypergeometric functions in n-variables. These are treated as an (n+1) dimensional vector space of multivalued locally holomorphic functions defined on the space of n+3 tuples of …
Real Fatou Conjecture
Av Jacek Graczyk, Grzegorz Swiatek
Häftad, 1998
1298 kr
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In 1920, Pierre Fatou expressed the conjecture that--except for special cases--all critical points of a rational map of the Riemann sphere tend to periodic orbits under iteration. This conjecture remains the main open problem in the dynamics of iterated maps. For the logistic family x- ax(1-x), it …
Rigid Local Systems
Häftad, 1995
1755 kr
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Riemann introduced the concept of a "local system" on P1-{a finite set of points} nearly 140 years ago. His idea was to study nth order linear differential equations by studying the rank n local systems (of local holomorphic solutions) to which they gave rise. His first application was to study the …
Renormalization and 3-Manifolds Which Fiber over the Circle
Häftad, 1996
989 kr
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Many parallels between complex dynamics and hyperbolic geometry have emerged in the past decade. Building on work of Sullivan and Thurston, this book gives a unified treatment of the construction of fixed-points for renormalization and the construction of hyperbolic 3- manifolds fibering over the …
Admissible Dual of GL(N) via Compact Open Subgroups
Av Colin J. Bushnell, Philip C. Kutzko
Häftad, 1993
1032 kr
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This work gives a full description of a method for analyzing the admissible complex representations of the general linear group G = Gl(N,F) of a non-Archimedean local field F in terms of the structure of these representations when they are restricted to certain compact open subgroups of G. The …
Global Surgery Formula for the Casson-Walker Invariant
Häftad, 1996
1508 kr
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This book presents a new result in 3-dimensional topology. It is well known that any closed oriented 3-manifold can be obtained by surgery on a framed link in S 3. In Global Surgery Formula for the Casson-Walker Invariant, a function F of framed links in S 3 is described, and it is proven that F …
Combinatorics of Train Tracks
Av Robert C. Penner, John L. Harer
Häftad, 1991
989 kr
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Measured geodesic laminations are a natural generalization of simple closed curves in surfaces, and they play a decisive role in various developments in two-and three-dimensional topology, geometry, and dynamical systems. This book presents a self-contained and comprehensive treatment of the rich …
Extension of Casson's Invariant
Av Kevin Walker
Häftad, 1992
733 kr
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This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case. Let R(X) denote the space of conjugacy classes of representations of p(X) into SU(2). Let (W,W,F) be a Heegaard splitting of a …
Lectures on the Arithmetic Riemann-Roch Theorem
Häftad, 1992
993 kr
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The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should …
Nilpotence and Periodicity in Stable Homotopy Theory
Häftad, 1992
1032 kr
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Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on the nilpotence and periodicity theorems, which were conjectured by the author in 1977 and proved by Devinatz, Hopkins, and Smith in 1985. During the last ten …
Prospects in Topology
Proceedings of a Conference in Honor of William Browder
Av Frank Quinn
Häftad, 1995
1263 kr
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This collection brings together influential papers by mathematicians exploring the research frontiers of topology, one of the most important developments of modern mathematics. The papers cover a wide range of topological specialties, including tools for the analysis of group actions on manifolds, …
Lectures on the Theory of Games
Häftad, 2003
665 kr
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This book is a spectacular introduction to the modern mathematical discipline known as the Theory of Games. Harold Kuhn first presented these lectures at Princeton University in 1952. They succinctly convey the essence of the theory, in part through the prism of the most exciting developments at …
Period Spaces for p-divisible Groups
Av Michael Rapoport, Thomas Zink
Häftad, 1996
1263 kr
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In this monograph p-adic period domains are associated to arbitrary reductive groups. Using the concept of rigid-analytic period maps the relation of p-adic period domains to moduli space of p-divisible groups is investigated. In addition, non-archimedean uniformization theorems for general Shimura …
Complex Dynamics and Renormalization
Häftad, 1994
844 kr
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Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics. Its central concern is the structure of an infinitely …
Hyperfunctions on Hypo-Analytic Manifolds
Av Paulo D. Cordaro, François Treves
Häftad, 1994
2454 kr
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In the first two chapters of this book, the reader will find a complete and systematic exposition of the theory of hyperfunctions on totally real submanifolds of multidimensional complex space, in particular of hyperfunction theory in real space. The book provides precise definitions of the …
Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds
Av Louis H. Kauffman, Sostenes Lins
Häftad, 1994
2221 kr
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This book offers a self-contained account of the 3-manifold invariants arising from the original Jones polynomial. These are the Witten-Reshetikhin-Turaev and the Turaev-Viro invariants. Starting from the Kauffman bracket model for the Jones polynomial and the diagrammatic Temperley-Lieb algebra, …
Introduction to G-Functions
Av Bernard Dwork, Giovanni Gerotto m. fl.
Häftad, 1994
1075 kr
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Written for advanced undergraduate and first-year graduate students, this book aims to introduce students to a serious level of p-adic analysis with important implications for number theory. The main object is the study of G-series, that is, power series y=aij=0 Ajxj with coefficients in an …
Modern Methods in Complex Analysis
The Princeton Conference in Honor of Gunning and Kohn
Av Thomas Bloom, David W. Catlin m. fl.
Häftad, 1995
1644 kr
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The fifteen articles composing this volume focus on recent developments in complex analysis. Written by well-known researchers in complex analysis and related fields, they cover a wide spectrum of research using the methods of partial differential equations as well as differential and algebraic …
Cycles, Transfers, and Motivic Homology Theories
Av Vladimir Voevodsky, Andrei Suslin m. fl.
Häftad, 2000
1682 kr
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The original goal that ultimately led to this volume was the construction of "motivic cohomology theory," whose existence was conjectured by A. Beilinson and S. Lichtenbaum. This is achieved in the book's fourth paper, using results of the other papers whose additional role is to contribute to our …
Surveys on Surgery Theory, Volume 1
Papers Dedicated to C. T. C. Wall
Av Jonathan M. Rosenberg, Sylvain Cappell m. fl.
Häftad, 2000
1177 kr
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Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. There have been some extraordinary accomplishments in that time, which have led to enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often …