Author: Johannes SprangPublisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Eisenstein Series Via the Poincaré Bundle and Applications
Author: Johannes SprangOn Eisenstein Series and Some Applications
Author: Helmut KlingenEisenstein Series and Automorphic Representations
Author: Philipp FleigPublisher: Cambridge Studies in Advanced
ISBN: 1107189926
Category : Mathematics
Languages : en
Pages : 587
Book Description
Detailed exposition of automorphic representations and their relation to string theory, for mathematicians and theoretical physicists.
Eisenstein Series and Applications
Author: Wee Teck GanPublisher: Springer Science & Business Media
ISBN: 0817646396
Category : Mathematics
Languages : en
Pages : 317
Book Description
Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions. They have also been exploited extensively by number theorists for many arithmetic purposes. Bringing together contributions from areas which do not usually interact with each other, this volume introduces diverse users of Eisenstein series to a variety of important applications. With this juxtaposition of perspectives, the reader obtains deeper insights into the arithmetic of Eisenstein series. The central theme of the exposition focuses on the common structural properties of Eisenstein series occurring in many related applications.
Heads in Grammatical Theory
Author: Greville G. CorbettPublisher: Cambridge University Press
ISBN: 9780521402453
Category : Language Arts & Disciplines
Languages : en
Pages : 364
Book Description
A study of the idea of the 'head' or dominating element of a phrase.
Abelian Varieties, Theta Functions and the Fourier Transform
Author: Alexander PolishchukPublisher: Cambridge University Press
ISBN: 0521808049
Category : Mathematics
Languages : en
Pages : 308
Book Description
Presents a modern treatment of the theory of theta functions in the context of algebraic geometry.
Regulators in Analysis, Geometry and Number Theory
Author: Alexander ReznikovPublisher: Springer Science & Business Media
ISBN: 9780817641153
Category : Mathematics
Languages : en
Pages : 352
Book Description
"This work is an outgrowth of a conference held at the Hebrew University in Jerusalem on Regulators in Analysis, Geometry and Number Theory, and should appeal to a broad audience of graduate students and research mathematicians."--BOOK JACKET.
Moduli of Curves and Abelian Varieties
Author: Carel FaberPublisher: Springer Science & Business Media
ISBN: 3322901726
Category : Technology & Engineering
Languages : en
Pages : 205
Book Description
The Dutch Intercity Seminar on Moduli, which dates back to the early eighties, was an initiative of G. van der Geer, F. Oort and C. Peters. Through the years it became a focal point of Dutch mathematics and it gained some fame, also outside Holland, as an active biweekly research seminar. The tradition continues up to today. The present volume, with contributions of R. Dijkgraaf, C. Faber, G. van der Geer, R. Hain, E. Looijenga, and F. Oort, originates from the seminar held in 1995--96. Some of the articles here were discussed, in preliminary form, in the seminar; others are completely new. Two introductory papers, on moduli of abelian varieties and on moduli of curves, accompany the articles.
Problems on Mapping Class Groups and Related Topics
Author: Benson FarbPublisher: American Mathematical Soc.
ISBN: 0821838385
Category : Mathematics
Languages : en
Pages : 384
Book Description
The appearance of mapping class groups in mathematics is ubiquitous. The book presents 23 papers containing problems about mapping class groups, the moduli space of Riemann surfaces, Teichmuller geometry, and related areas. Each paper focusses completely on open problems and directions. The problems range in scope from specific computations, to broad programs. The goal is to have a rich source of problems which have been formulated explicitly and accessibly. The book is divided into four parts. Part I contains problems on the combinatorial and (co)homological group-theoretic aspects of mapping class groups, and the way in which these relate to problems in geometry and topology. Part II concentrates on connections with classification problems in 3-manifold theory, the theory of symplectic 4-manifolds, and algebraic geometry. A wide variety of problems, from understanding billiard trajectories to the classification of Kleinian groups, can be reduced to differential and synthetic geometry problems about moduli space. Such problems and connections are discussed in Part III. Mapping class groups are related, both concretely and philosophically, to a number of other groups, such as braid groups, lattices in semisimple Lie groups, and automorphism groups of free groups. Part IV concentrates on problems surrounding these relationships. This book should be of interest to anyone studying geometry, topology, algebraic geometry or infinite groups. It is meant to provide inspiration for everyone from graduate students to senior researchers.
Symmetric Functions and Hall Polynomials
Author: Ian Grant MacdonaldPublisher: Oxford University Press
ISBN: 9780198504504
Category : Mathematics
Languages : en
Pages : 496
Book Description
This reissued classic text is the acclaimed second edition of Professor Ian Macdonald's groundbreaking monograph on symmetric functions and Hall polynomials. The first edition was published in 1979, before being significantly expanded into the present edition in 1995. This text is widely regarded as the best source of information on Hall polynomials and what have come to be known as Macdonald polynomials, central to a number of key developments in mathematics and mathematical physics in the 21st century Macdonald polynomials gave rise to the subject of double affine Hecke algebras (or Cherednik algebras) important in representation theory. String theorists use Macdonald polynomials to attack the so-called AGT conjectures. Macdonald polynomials have been recently used to construct knot invariants. They are also a central tool for a theory of integrable stochastic models that have found a number of applications in probability, such as random matrices, directed polymers in random media, driven lattice gases, and so on. Macdonald polynomials have become a part of basic material that a researcher simply must know if (s)he wants to work in one of the above domains, ensuring this new edition will appeal to a very broad mathematical audience. Featuring a new foreword by Professor Richard Stanley of MIT.