A very primitive form of this monograph has existed for about two and a half years in the form of handwritten notes of a course that Alain Y ger gave at the University of Maryland. The objective, all along, has been to present a coherent picture of the almost mysterious role that analytic methods and, in particular, multidimensional residues, have recently played in obtaining effective estimates for problems in commutative algebra 71;5]* Our original interest in the subject rested on the fact that the study of many questions in harmonic analysis, like finding all distribution solutions (or...
A very primitive form of this monograph has existed for about two and a half years in the form of handwritten notes of a course that Alain Y ger gave ...
From April 1, 1984 until March 31, 1991 the Deutsche Forschungsgemeinschaft has sponsored the project "Representation Theory of Finite Groups and Finite Di- mensional Algebras." The proposal for this project was submitted by B. Huppert (Mainz), B. Fischer (Bielefeld), G. Michler (Essen), H. Pahlings (Aachen) and C. M. Ringel (Bielefeld) in order to strengthen the interaction between the different re- search areas in representation theory. The Deutsche Forschungsgemeinschaft has given many research positions and fellowships for young algebraists enabling them to do research at their own uni-...
From April 1, 1984 until March 31, 1991 the Deutsche Forschungsgemeinschaft has sponsored the project "Representation Theory of Finite Groups and Fini...
Brauer had already introduced the defect of a block and opened the way towards a classification by solving all the problems in defects zero and one, and by providing some evidence for the finiteness of the set of blocks with a given defect. In 1959 he discovered the defect group, and in 1964 Dade determined the blocks with cyclic defect groups. In 1978 Alperin and Broue discovered the Brauer category, and Broue and the author determined the blocks having a nilpotent Brauer category. In 1979, the author discovered the source algebra which determines all the other current invariants,...
Brauer had already introduced the defect of a block and opened the way towards a classification by solving all the problems in defects zero and one...
In July 1996, a conference was organized by the editors of this volume at the Mathematische Forschungsinstitut Oberwolfach to honour Egbert Brieskorn on the occasion of his 60th birthday. Most of the mathematicians invited to the conference have been influenced in one way or another by Brieskorn's work in singularity theory. It was the first time that so many people from the Russian school could be present at a conference in singularity theory outside Russia. This volume contains papers on singularity theory and its applications, written by participants of the conference. In many cases, they...
In July 1996, a conference was organized by the editors of this volume at the Mathematische Forschungsinstitut Oberwolfach to honour Egbert Brieskorn ...
This is the second volume of the procedings of the second European Congress of Mathematics. Volume I presents the speeches delivered at the Congress, the list of lectures, and short summaries of the achievements of the prize winners. Together with volume II it contains a collection of contributions by the invited lecturers. Finally, volume II also presents reports on some of the Round Table discussions. This two-volume set thus gives an overview of the state of the art in many fields of mathematics and is therefore of interest to every professional mathematician. Contributors: Vol. I: N....
This is the second volume of the procedings of the second European Congress of Mathematics. Volume I presents the speeches delivered at the Congress, ...
This book presents the original proof of Gromov's compactness theorem for pseudo-holomorphic curves in detail. Local properties of pseudo-holomorphic curves are investigated and proved from a geometric viewpoint. Properties of particular interest are isoperimetric inequalities, a monotonicity formula, gradient bounds and the removal of singularities.
This book presents the original proof of Gromov's compactness theorem for pseudo-holomorphic curves in detail. Local properties of pseudo-holomorph...
Table of contents: Plenary Lectures - V.I. Arnold: The Vassiliev Theory of Discriminants and Knots - L. Babai: Transparent Proofs and Limits to Approximation - C. De Concini: Poisson Algebraic Groups and Representations of Quantum Groups at Roots of 1 - S.K. Donaldson: Gauge Theory and Four-Manifold Topology - W. Muller: Spectral Theory and Geometry - D. Mumford: Pattern Theory: A Unifying Perspective - A.-S. Sznitman: Brownian Motion and Obstacles - M. Vergne: Geometric Quantization and Equivariant Cohomology - Parallel Lectures - Z. Adamowicz: The Power of Exponentiation in Arithmetic - A....
Table of contents: Plenary Lectures - V.I. Arnold: The Vassiliev Theory of Discriminants and Knots - L. Babai: Transparent Proofs and Limits to Approx...
Table of Contents: D. Duffie: Martingales, Arbitrage, and Portfolio Choice - J. Frohlich: Mathematical Aspects of the Quantum Hall Effect - M. Giaquinta: Analytic and Geometric Aspects of Variational Problems for Vector Valued Mappings - U. Hamenstadt: Harmonic Measures for Leafwise Elliptic Operators Along Foliations - M. Kontsevich: Feynman Diagrams and Low-Dimensional Topology - S.B. Kuksin: KAM-Theory for Partial Differential Equations - M. Laczkovich: Paradoxical Decompositions: A Survey of Recent Results - J.-F. Le Gall: A Path-Valued Markov Process and its Connections with Partial...
Table of Contents: D. Duffie: Martingales, Arbitrage, and Portfolio Choice - J. Frohlich: Mathematical Aspects of the Quantum Hall Effect - M. Giaquin...
This book studies some of the groundbreaking advances that have been made regarding analytic capacity and its relationship to rectifiability in the decade 1995-2005. The Cauchy transform plays a fundamental role in this area and is accordingly one of the main subjects covered. Another important topic, which may be of independent interest for many analysts, is the so-called non-homogeneous Calderon-Zygmund theory, the development of which has been largely motivated by the problems arising in connection with analytic capacity. The Painleve problem, which was first posed around 1900, consists in...
This book studies some of the groundbreaking advances that have been made regarding analytic capacity and its relationship to rectifiability in the de...
This book is concerned with cardinal number valued functions defined for any Boolean algebra. Examples of such functions are independence, which assigns to each Boolean algebra the supremum of the cardinalities of its free subalgebras, and cellularity, which gives the supremum of cardinalities of sets of pairwise disjoint elements. Twenty-one such functions are studied in detail, and many more in passing. The questions considered are the behaviour of these functions under algebraic operations such as products, free products, ultraproducts, and their relationships to one...
This book is concerned with cardinal number valued functions defined for any Boolean algebra. Examples of such functions are independence, which as...
