Fundamentalgruppen algebraischer Mannigfaltigkeiten

Fundamentalgruppen algebraischer Mannigfaltigkeiten PDF Author: Herbert Popp
Publisher: Springer-Verlag
ISBN: 3540364463
Category : Mathematics
Languages : de
Pages : 161

Get Book Here

Book Description

Fundamentalgruppen algebraischer Mannigfaltigkeiten

Fundamentalgruppen algebraischer Mannigfaltigkeiten PDF Author: Herbert Popp
Publisher: Springer-Verlag
ISBN: 3540364463
Category : Mathematics
Languages : de
Pages : 161

Get Book Here

Book Description


Representation Theory of Finite Groups and Finite-Dimensional Algebras

Representation Theory of Finite Groups and Finite-Dimensional Algebras PDF Author: Michler
Publisher: Birkhäuser
ISBN: 3034886586
Category : Mathematics
Languages : en
Pages : 526

Get Book Here

Book Description
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 versities or as visitors at well known research institutions in America, Australia, England and France. The whole project benefitted very much from an extensive exchange programme between German and American scientists sponsored by the Deutsche Forschungsgemeinschaft and by the National Science Foundation of the United States. This volume presents lectures given in a final conference and reports by members of the project. It is divided into two parts. The first part contains seven survey articles describing recent advances in different areas of representation theory. These articles do not only concentrate on the work done by the German research groups, but also inform on major developments of the subject at all. The volume omits those topics already treated in book form. In particular, it does not contain a survey on K.

Algebra and Number Theory

Algebra and Number Theory PDF Author: Gerhard Frey
Publisher: Walter de Gruyter
ISBN: 9783110142501
Category : Mathematics
Languages : en
Pages : 316

Get Book Here

Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Etale Cohomology and the Weil Conjecture

Etale Cohomology and the Weil Conjecture PDF Author: Eberhard Freitag
Publisher: Springer Science & Business Media
ISBN: 3662025418
Category : Mathematics
Languages : en
Pages : 336

Get Book Here

Book Description
Some years ago a conference on l-adic cohomology in Oberwolfach was held with the aim of reaching an understanding of Deligne's proof of the Weil conjec tures. For the convenience of the speakers the present authors - who were also the organisers of that meeting - prepared short notes containing the central definitions and ideas of the proofs. The unexpected interest for these notes and the various suggestions to publish them encouraged us to work somewhat more on them and fill out the gaps. Our aim was to develop the theory in as self contained and as short a manner as possible. We intended especially to provide a complete introduction to etale and l-adic cohomology theory including the monodromy theory of Lefschetz pencils. Of course, all the central ideas are due to the people who created the theory, especially Grothendieck and Deligne. The main references are the SGA-notes [64-69]. With the kind permission of Professor J. A. Dieudonne we have included in the book that finally resulted his excellent notes on the history of the Weil conjectures, as a second introduction. Our original notes were written in German. However, we finally followed the recommendation made variously to publish the book in English. We had the good fortune that Professor W. Waterhouse and his wife Betty agreed to translate our manuscript. We want to thank them very warmly for their willing involvement in such a tedious task. We are very grateful to the staff of Springer-Verlag for their careful work.

Inverse Galois Theory

Inverse Galois Theory PDF Author: Gunter Malle
Publisher: Springer
ISBN: 3662554208
Category : Mathematics
Languages : en
Pages : 547

Get Book Here

Book Description
A consistent and near complete survey of the important progress made in the field over the last few years, with the main emphasis on the rigidity method and its applications. Among others, this monograph presents the most successful existence theorems known and construction methods for Galois extensions as well as solutions for embedding problems combined with a collection of the existing Galois realizations.

Weil Conjectures, Perverse Sheaves and l’adic Fourier Transform

Weil Conjectures, Perverse Sheaves and l’adic Fourier Transform PDF Author: Reinhardt Kiehl
Publisher: Springer Science & Business Media
ISBN: 9783540414575
Category : Mathematics
Languages : en
Pages : 400

Get Book Here

Book Description
The authors describe the important generalization of the original Weil conjectures, as given by P. Deligne in his fundamental paper "La conjecture de Weil II". The authors follow the important and beautiful methods of Laumon and Brylinski which lead to a simplification of Deligne's theory. Deligne's work is closely related to the sheaf theoretic theory of perverse sheaves. In this framework Deligne's results on global weights and his notion of purity of complexes obtain a satisfactory and final form. Therefore the authors include the complete theory of middle perverse sheaves. In this part, the l-adic Fourier transform is introduced as a technique providing natural and simple proofs. To round things off, there are three chapters with significant applications of these theories.

Coding Theory

Coding Theory PDF Author: Jacobus H. van Lint
Publisher: Springer
ISBN: 3662207125
Category : Mathematics
Languages : en
Pages : 145

Get Book Here

Book Description


Group and Semigroup Rings

Group and Semigroup Rings PDF Author: G. Karpilovsky
Publisher: Elsevier
ISBN: 0080872379
Category : Mathematics
Languages : en
Pages : 277

Get Book Here

Book Description
A broad range of topics is covered here, including commutative monoid rings, the Jacobson radical of semigroup rings, blocks of modular group algebras, nilpotency index of the radical of group algebras, the isomorphism problem for group rings, inverse semigroup algebras and the Picard group of an abelian group ring. The survey lectures provide an up-to-date account of the current state of the subject and form a comprehensive introduction for intending researchers.

Analytic and Plurisubharmonic Functions

Analytic and Plurisubharmonic Functions PDF Author: Michel Herve
Publisher: Springer
ISBN: 3540366547
Category : Mathematics
Languages : en
Pages : 98

Get Book Here

Book Description


The Unreal Life of Oscar Zariski

The Unreal Life of Oscar Zariski PDF Author: Carol Parikh
Publisher: Academic Press
ISBN: 1483265722
Category : Biography & Autobiography
Languages : en
Pages : 293

Get Book Here

Book Description
The Unreal Life of Oscar Zariski records the life of Oscar Zariski that is based upon Carol Parikh's interviews with his family, colleagues, students, and his own memories from tape-recorded interviews conducted before his death in 1986. This book describes Oscar Zariski's work in mathematics that perpetually altered the foundations of algebraic geometry. The powerful tools he forged from the ideas of algebra allowed him to penetrate classical problems with a clarity and depth that brought a rigor to the way algebraic geometers carry out proofs. The strength of his work was matched by his forcefulness as a teacher, and the students he trained at Johns Hopkins and later at Harvard have made essential contributions to many areas of mathematics. This publication is beneficial to students and researchers interested in Oscar Zariski's life and work in mathematics.