Author : Simone Gutt
Publisher : Cambridge University Press
Page : 380 pages
File Size : 49,83 MB
Release : 2005-06-21
Category : Mathematics
ISBN : 9780521615051
An accessible introduction to Poisson geometry suitable for graduate students.
Author : Anthony G. O'Farrell
Publisher : Cambridge University Press
Page : 295 pages
File Size : 39,42 MB
Release : 2015-05-28
Category : Mathematics
ISBN : 1316195767
Reversibility is a thread woven through many branches of mathematics. It arises in dynamics, in systems that admit a time-reversal symmetry, and in group theory where the reversible group elements are those that are conjugate to their inverses. However, the lack of a lingua franca for discussing reversibility means that researchers who encounter the concept may be unaware of related work in other fields. This text is the first to make reversibility the focus of attention. The authors fix standard notation and terminology, establish the basic common principles, and illustrate the impact of reversibility in such diverse areas as group theory, differential and analytic geometry, number theory, complex analysis and approximation theory. As well as showing connections between different fields, the authors' viewpoint reveals many open questions, making this book ideal for graduate students and researchers. The exposition is accessible to readers at the advanced undergraduate level and above.
Author : Christopher D. Hacon
Publisher : Cambridge University Press
Page : 451 pages
File Size : 35,57 MB
Release : 2015-01-15
Category : Mathematics
ISBN : 131619583X
Contemporary research in algebraic geometry is the focus of this collection, which presents articles on modern aspects of the subject. The list of topics covered is a roll-call of some of the most important and active themes in this thriving area of mathematics: the reader will find articles on birational geometry, vanishing theorems, complex geometry and Hodge theory, free resolutions and syzygies, derived categories, invariant theory, moduli spaces, and related topics, all written by leading experts. The articles, which have an expository flavour, present an overall picture of current research in algebraic geometry, making this book essential for researchers and graduate students. This volume is the outcome of the conference Recent Advances in Algebraic Geometry, held in Ann Arbor, Michigan, to honour Rob Lazarsfeld's many contributions to the subject on the occasion of his 60th birthday.
Author : Brendan Hassett
Publisher : American Mathematical Soc.
Page : 614 pages
File Size : 34,57 MB
Release : 2013-09-11
Category : Mathematics
ISBN : 0821889834
This volume resulted from the conference A Celebration of Algebraic Geometry, which was held at Harvard University from August 25-28, 2011, in honor of Joe Harris' 60th birthday. Harris is famous around the world for his lively textbooks and enthusiastic teaching, as well as for his seminal research contributions. The articles are written in this spirit: clear, original, engaging, enlivened by examples, and accessible to young mathematicians. The articles in this volume focus on the moduli space of curves and more general varieties, commutative algebra, invariant theory, enumerative geometry both classical and modern, rationally connected and Fano varieties, Hodge theory and abelian varieties, and Calabi-Yau and hyperkähler manifolds. Taken together, they present a comprehensive view of the long frontier of current knowledge in algebraic geometry. Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).
Author : Raf Cluckers
Publisher : Cambridge University Press
Page : 263 pages
File Size : 22,23 MB
Release : 2011-09-22
Category : Mathematics
ISBN : 1139501739
The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to non-Archimedean analysis, singularity theory and birational geometry. This book assembles the different theories of motivic integration and their applications for the first time, allowing readers to compare different approaches and assess their individual strengths. All of the necessary background is provided to make the book accessible to graduate students and researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic integration at work in other domains. In a rapidly-evolving area of research this book will prove invaluable. This second volume discusses various applications of non-Archimedean geometry, model theory and motivic integration and the interactions between these domains.
Author : John N. Bray
Publisher : Cambridge University Press
Page : 453 pages
File Size : 26,42 MB
Release : 2013-07-25
Category : Mathematics
ISBN : 0521138604
Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods.
Author : G. O. Jones
Publisher : Cambridge University Press
Page : 235 pages
File Size : 48,96 MB
Release : 2015-08-13
Category : Mathematics
ISBN : 1107462495
This book brings the researcher up to date with recent applications of mathematical logic to number theory.
Author : John Coates
Publisher : Cambridge University Press
Page : 321 pages
File Size : 28,22 MB
Release : 2011-12-15
Category : Mathematics
ISBN : 1139505653
This book describes the interaction between several key aspects of Galois theory based on Iwasawa theory, fundamental groups and automorphic forms. These ideas encompass a large portion of mainstream number theory and ramifications that are of interest to graduate students and researchers in number theory, algebraic geometry, topology and physics.
Author : S. Alinhac
Publisher : Cambridge University Press
Page : pages
File Size : 46,76 MB
Release : 2010-05-20
Category : Mathematics
ISBN : 1139485814
Its self-contained presentation and 'do-it-yourself' approach make this the perfect guide for graduate students and researchers wishing to access recent literature in the field of nonlinear wave equations and general relativity. It introduces all of the key tools and concepts from Lorentzian geometry (metrics, null frames, deformation tensors, etc.) and provides complete elementary proofs. The author also discusses applications to topics in nonlinear equations, including null conditions and stability of Minkowski space. No previous knowledge of geometry or relativity is required.
Author : Felix Finster
Publisher : Birkhäuser
Page : 517 pages
File Size : 17,87 MB
Release : 2016-02-24
Category : Science
ISBN : 331926902X
Quantum physics has been highly successful for more than 90 years. Nevertheless, a rigorous construction of interacting quantum field theory is still missing. Moreover, it is still unclear how to combine quantum physics and general relativity in a unified physical theory. Attacking these challenging problems of contemporary physics requires highly advanced mathematical methods as well as radically new physical concepts. This book presents different physical ideas and mathematical approaches in this direction. It contains a carefully selected cross-section of lectures which took place in autumn 2014 at the sixth conference ``Quantum Mathematical Physics - A Bridge between Mathematics and Physics'' in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.
