ISBN: 978-3-03719-072-2
Series,EMS Series of Congress Reports, Volume 4
Published: 15 August 2011; Copyright Year: 2011; Pages: 260; Hardcover;
Probability and Statistics
Graduate students and research mathematicians interested in probability and statistics.
The 33rd Bernoulli Society Conference on Stochastic Processes and Their Applications was held in Berlin from July 27 to July 31, 2009. It brought together more than 600 researchers from 49 countries to discuss recent progress in the mathematical research related to stochastic processes, with applications ranging from biology to statistical mechanics, finance and climatology.
This book collects survey articles highlighting new trends and focal points in the area written by plenary speakers of the conference, all of them outstanding international experts. A particular aim of this collection is to inspire young scientists to pursue research goals in the wide range of fields represented in this volume.
Information for our distributors: Distributed within the Americas by the American Mathematical Society. All commerical channel discounts apply.
ISBN: 978-3-03719-097-5
EMS Series of Lectures in Mathematics, Volume 15
Published: 15 August 2011; Copyright Year: 2011; Pages: 300; Softcover
Analysis
Graduate students and research mathematicians interested in analysis.
Supersymmetry is a highly active area of considerable interest among physicists and mathematicians.
It is not only fascinating in its own right, but there is also indication that it plays a fundamental role
in the physics of elementary particles and gravitation.
The purpose of the book is to lay down the foundations of the subject, providing the reader with a comprehensive
introduction to the language and techniques, as well as detailed proofs and many clarifying
examples.
This book is aimed ideally at second-year graduate students. After the first three introductory chapters,
the text is divided into two parts: the theory of smooth supermanifolds and Lie supergroups, including the
Frobenius theorem, and the theory of algebraic superschemes and supergroups. There are three appendices.
The first introduces Lie superalgebras and representations of classical Lie superalgebras, the second
collects some relevant facts on categories, sheafification of functors and commutative algebra, and the
third explains the notion of Frechet space in the super context.
Information for our distributors: Distributed within the Americas by the American Mathematical Society. All
commercial channel discounts apply.
ISBN: 978-3-03719-098-2
EMS Tracts in Mathematics, Volume 16
Published: 15 August 2011; Copyright Year: 2011; Pages: 306; Hardcover
Analysis
Graduate students, research mathematicians, and theoretical physicists interested in complex variables and analysis.
The story of separately holomorphic functions began about 100 years ago. During the second half of the 19th century, it became known that a separately continuous function is not necessarily continuous as a function of all variables. At the beginning of the 20th century, the study of separately holomorphic functions started due to the fundamental work of Osgood and Hartogs.
This book provides the first self-contained and complete presentation of the study of separately holomorphic functions, from its beginnings to current research. Most of the results presented have never been published before in book form.
The text is divided into two parts. The first part deals with separately holomorphic functions, “without singularities”. The second part addresses the situation of existing singularities. A discussion of the classical results related to separately holomorphic functions leads to the most fundamental result, the classical cross theorem as well as various extensions and generalizations, to more complicated “crosses”. Additionally, several applications for other classes of “separately regular” functions are given.
A solid background in basic complex analysis is a prerequisite. To make the book self contained, all the results are collected in special introductory chapters and referred to at the beginning of each section.
This book is addressed to students and researchers in several complex variables as well as mathematicians and theoretical physicists interested in this area of mathematics.
Information for our distributors: Distributed within the Americas by the American Mathematical Society. All commerical channel discounts apply.
ISBN: 978-2-85629-312-6
Seminaires et Congres, Number 20
Published: 15 June 2011; Copyright Year: 2011; Pages: 251; Softcover;
Number Theory
Graduate students and research mathematicians interested in number theory.
This volume, which contains a selection of papers that were presented at the School in Ergodic
Theory, CIRM (Marseille, France) during April 2006, explores several themes.
Dynamical properties of interval maps are studied in case of unimodal transformations and piecewise
monotonic maps, but also for generalized β-shift and some Gibbs properties related to the Erdos measure,
linked to the Golden Number, are investigated. In geometry, combinatorial and ergodic properties of geodesic
flows are studied through a coding of such a flow on an hyperbolic surface, and an original approach
of the unique ergodicity property of the directional flow on a surface translation (KMS theorem) is provided.
Rank one, mixing, self-joining transformation, and some rigidity properties, are the subject of three
papers. For symbolic dynamics, low complexity is represented by the introduction of generalized Toeplitz
sequences, and high disorder is involved in searching properties of measures both invariant under the shift
and some cellular automata.}
ISBN: 978-2-85629-279-2
Seminaires et Congres, Number 21
Published: 15 June 2011; Copyright Year: 2011; Pages: 225; Softcover
Number Theory
Algebra and Algebraic Geometry
Graduate students and research mathematicians interested in number theory.
The Conference on Arithmetics, Geometry, and Coding Theory was held at the International Center of Mathematical Meetings of Luminy (CIRM) in Marseilles from September 26?30, 2005. The conference focused on the interaction between number theory and algebraic geometry and the interaction between coding theory and cryptography. It addressed such subjects as curves covered by the Hermitian curve, towers of function fields, bilinear complexity of the multiplication in the finite fields, codes on various varieties, estimate of the Picard number of surfaces via p -adic cohomology, minimal distance of codes on a surface, and the Euler-Kronecker constant on global fields.
Public key cryptography provided an opportunity for talks on curves and their jacobians: jacobians of Ca b curves, a CRT algorithm to construct genus 2 curves over finite fields, hyperelliptic jacobians and the Steinberg representations. Other talks were devoted to the relations between the enumerator polynomial of codes and modular forms and to a similar construction with construction A of lattices from binary codes to build convolutional codes starting from block codes.
Information for our distributors: A publication of the Societe Mathematique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list. All commercial channel discounts apply.
ISBN: 978-2-85629-314-0
Documents Mathematiques, Number 6
Published: 15 July 2011; Copyright Year: 2011; Pages: 720; Hardcover
General Interest
Number Theory
Anyone interested in mathematics and in the history of mathematics.
The Cartan-Weil correspondence is a lively introduction to part of 20th century mathematics. This book presents the correspondence, followed by 240 pages of notes and references, on the mathematical and political landscape. Readers will learn about, among other things, the birth and life of Bourbaki, the genesis, in jail, of Andre Weil’s proof of the Riemann hypothesis on finite fields and the ferment of ideas on topology and on complex analysis which followed the invention of sheaf theory during the 1940s. They will also observe the effects of the turmoils of the century (including the rise of fascism, World War II) on mathematicians and mathematics.
Hardcover. 401 pages.
ISBN: 978-1-57146-145-2
Release date: 31 August 2011
This volume honors the 85th birthday of our friend and teacher Isadore Singer. We organized a conference to honor this event in May of 2009. The lectures were given at the Massachusetts Institute of Technology and at Harvard University. Included herein are papers by many of the speakers, as well as contributions from friends of Is. The breadth and depth of these papers reflect the many areas of mathematics and physics that Is has influenced. Over the past 60 years, Singer's work has transformed many areas of mathematics and physics. Singer is a major force in transforming work in geometry from a local to a global point of view, as well as pioneering the modern interactions between mathematics and physics. After receiving his PhD with Irving Segal at the University of Chicago in 1950, his early work was in operator algebras and Riemannian geometry. Two results from this period are the famous Ambrose-Singer holonomy theorem and the Kadison-Singer problem (which remains open to this day and is now known to be equivalent to important questions in harmonic analysis and wavelet theory). In the early 1960s, Singer began his long collaboration with Sir Michael Atiyah with their legendary work on index theory. There were several proofs of the index theorem: the original cobordism proof, the K-theoretic proof, and, finally, the heat equation proof. Heat equation methods led to several important works of Singer: the Atiyah-Patodi-Singer index theorem for manifolds with boundary and the introduction of the η-invariant, as well as the work with McKean on analytic torsion. In the 1970s, Is began his long- running effort to bring mathematics and modern physics closer together. The use of the index theorem to compute the dimension of the moduli space of self-dual connections on a four-manifold, and the explanation of the Gribov ambiguity, marked new a level of serious modern mathematics being applied to the current work of the physicists. Since then, Singer has worked on many aspects of the relations between mathematics and physics, with collaborators including Alexrod, Alvarez, Bealieu, Hopkins, and Ramadas. These efforts are reflected strongly in the topics covered in this volume.
A shifted view of fundamental physics (Michael Atiyah and Gregory W. Moore)
Subgroups of depth three (Sebastian Burciu and Lars Kadison)
Yukawa couplings in F-theory and non-commutative geometry (Sergio Cecotti, Miranda C.N. Cheng, Jonathan J. Heckman, and Cumrun Vafa)
Operator traces and holography (Michael R. Douglas)
A loop of SU(2) gauge fields stable under the Yang-Mills flow (Daniel Friedan)
Automorphisms of graded super symplectic manifolds (Joshua Leslie)
The signature of the Seiberg-Witten surface (Andreas Malmendier)
Eta forms and the odd pseudodifferential families index (Richard Melrose and Frederic Rochon)
Anomaly constraints and string/F-theory geometry in 6D quantum gravity (Washington Taylor)
A new look at the path integral of quantum mechanics (Edward Witten)
Quasi-local mass in general relativity (Shing-Tung Yau)