On Artins Conjecture For Odd 2 Dimensional Representations
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| Author | : Gerhard Frey |
| Publisher | : Springer |
| Total Pages | : 160 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 354048681X |
The main topic of the volume is to develop efficient algorithms by which one can verify Artin's conjecture for odd two-dimensional representations in a fairly wide range. To do this, one has to determine the number of all representations with given Artin conductor and determinant and to compute the dimension of a corresponding space of cusp forms of weight 1 which is done by exploiting the explicit knowledge of the operation of Hecke operators on modular symbols. It is hoped that the algorithms developed in the volume can be of use for many other problems related to modular forms.
| Author | : Gerhard Frey |
| Publisher | : |
| Total Pages | : 164 |
| Release | : 2014-01-15 |
| Genre | : |
| ISBN | : 9783662182352 |
| Author | : Ali S. Üstünel |
| Publisher | : Springer |
| Total Pages | : 103 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540446621 |
This book gives the basis of the probabilistic functional analysis on Wiener space, developed during the last decade. The subject has progressed considerably in recent years thr- ough its links with QFT and the impact of Stochastic Calcu- lus of Variations of P. Malliavin. Although the latter deals essentially with the regularity of the laws of random varia- bles defined on the Wiener space, the book focuses on quite different subjects, i.e. independence, Ramer's theorem, etc. First year graduate level in functional analysis and theory of stochastic processes is required (stochastic integration with respect to Brownian motion, Ito formula etc). It can be taught as a 1-semester course as it is, or in 2 semesters adding preliminaries from the theory of stochastic processes It is a user-friendly introduction to Malliavin calculus!
| Author | : Carlos A. Berenstein |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 178 |
| Release | : 1998-04-16 |
| Genre | : Mathematics |
| ISBN | : 9783540642077 |
This book contains the notes of five short courses delivered at the "Centro Internazionale Matematico Estivo" session "Integral Geometry, Radon Transforms and Complex Analysis" held in Venice (Italy) in June 1996: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share a stress on CR manifolds and related problems. All lectures are accessible to a wide audience, and provide self-contained introductions and short surveys on the subjects, as well as detailed expositions of selected results.
| Author | : Satya Mandal |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 132 |
| Release | : 1997-10-10 |
| Genre | : Mathematics |
| ISBN | : 9783540635642 |
In these notes on "Projective Modules and Complete Intersections" an account on the recent developments in research on this subject is presented. The author's preference for the technique of Patching isotopic isomorphisms due to Quillen, formalized by Plumsted, over the techniques of elementary matrices is evident here. The treatment of Basic Element theory here incorporates Plumstead's idea of the "generalized dimension functions". These notes are highly selfcontained and should be accessible to any graduate student in commutative algebra or algebraic geometry. They include fully self-contained presentations of the theorems of Ferrand-Szpiro, Cowsik-Nori and the techniques of Lindel.
| Author | : Ke-Zheng Li |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 140 |
| Release | : 1998-01-19 |
| Genre | : Mathematics |
| ISBN | : 9783540639237 |
Abelian varieties can be classified via their moduli. In positive characteristic the structure of the p-torsion-structure is an additional, useful tool. For that structure supersingular abelian varieties can be considered the most special ones. They provide a starting point for the fine description of various structures. For low dimensions the moduli of supersingular abelian varieties is by now well understood. In this book we provide a description of the supersingular locus in all dimensions, in particular we compute the dimension of it: it turns out to be equal to Ãg.g/4Ã, and we express the number of components as a class number, thus completing a long historical line where special cases were studied and general results were conjectured (Deuring, Hasse, Igusa, Oda-Oort, Katsura-Oort).
| Author | : Gary L. Mullen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 345 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642594352 |
The Sixth International Conference on Finite Fields and Applications, Fq6, held in the city of Oaxaca, Mexico, from May 21-25, 2001, continued a series of biennial international conferences on finite fields. This volume documents the steadily increasing interest in this topic. Finite fields are an important tool in discrete mathematics and its applications cover algebraic geometry, coding theory, cryptology, design theory, finite geometries, and scientific computation, among others. An important feature is the interplay between theory and applications which has led to many new perspectives in research on finite fields and other areas. This interplay has been emphasized in this series of conferences and certainly was reflected in Fq6. This volume offers up-to-date original research papers by leading experts in the area.
| Author | : Paul A. Meyer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 330 |
| Release | : 1995-11-17 |
| Genre | : Mathematics |
| ISBN | : 9783540602705 |
In recent years, the classical theory of stochastic integration and stochastic differential equations has been extended to a non-commutative set-up to develop models for quantum noises. The author, a specialist of classical stochastic calculus and martingale theory, tries to provide an introduction to this rapidly expanding field in a way which should be accessible to probabilists familiar with the Ito integral. It can also, on the other hand, provide a means of access to the methods of stochastic calculus for physicists familiar with Fock space analysis. For this second edition, the author has added about 30 pages of new material, mostly on quantum stochastic integrals.
| Author | : Emmanuel Farjoun |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 220 |
| Release | : 1996 |
| Genre | : Mathematics |
| ISBN | : 9783540606048 |
In this monograph we give an exposition of some recent development in homotopy theory. It relates to advances in periodicity in homotopy localization and in cellular spaces. The notion of homotopy localization is treated quite generally and encompasses all the known idempotent homotopy functors. It is applied to K-theory localizations, to Morava-theories, to Hopkins-Smith theory of types. The method of homotopy colimits is used heavily. It is written with an advanced graduate student in topology and research homotopy theorist in mind.
| Author | : Karl-Goswin Grosse-Erdmann |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 132 |
| Release | : 1998-01-19 |
| Genre | : Mathematics |
| ISBN | : 9783540639022 |
This book presents the first comprehensive treatment of the blocking technique which consists in transforming norms in section form into norms in block form, and vice versa. Such norms appear throughout analysis. The blocking technique is a powerful, yet elementary, tool whose usefulnes is demonstrated in the book. In particular, it is shown to lead to the solution of three recent problems of Bennett concerning the inequalities of Hardy and Copson. The book is addressed to researchers and graduate students. An interesting feature is that it contains a dictionary of transformations between section and block norms and will thus be useful to researchers as a reference text. The book requires no knowledge beyond an introductory course in functional analysis.
