Inventiones

Inventiones PDF Author: Monika Otter
Publisher: Univ of North Carolina Press
ISBN: 0807863726
Category : Literary Criticism
Languages : en
Pages : 344

Get Book Here

Book Description
Combining literary theory and historiography, Monika Otter explores the relationship between history and fiction in the Latin literature of twelfth-century England. The beginnings of fiction have commonly been associated with vernacular romance, but Otter demonstrates that writers of Latin historical narratives also employed the self-referential techniques characteristic of fiction. Beginning with inventiones, a genre dealing with the discovery of saints' relics, Otter reveals how exploring the fundamental problems of writing history and the nature of truth itself leads monastic or clerical Latin writers to a budding awareness of fictionality. According to Otter, accounts of conquests, treasure hunts, descents into underground worlds, and efforts (usually unsuccessful) to retrieve subterranean objects serve as self-referential metaphors for the problems of accessing and retrieving the past; they are thus designed to shake the reader's faith in historical representation and highlight the textuality of the historical account. Otter traces this self-conscious use of fictional elements within historical narrative through the works of William of Malmesbury, Geoffrey of Monmouth, Gerald of Wales, Walter Map, and William of Newburgh. Originally published in 1996. A UNC Press Enduring Edition -- UNC Press Enduring Editions use the latest in digital technology to make available again books from our distinguished backlist that were previously out of print. These editions are published unaltered from the original, and are presented in affordable paperback formats, bringing readers both historical and cultural value.

Inventiones

Inventiones PDF Author: Monika Otter
Publisher: Univ of North Carolina Press
ISBN: 0807863726
Category : Literary Criticism
Languages : en
Pages : 344

Get Book Here

Book Description
Combining literary theory and historiography, Monika Otter explores the relationship between history and fiction in the Latin literature of twelfth-century England. The beginnings of fiction have commonly been associated with vernacular romance, but Otter demonstrates that writers of Latin historical narratives also employed the self-referential techniques characteristic of fiction. Beginning with inventiones, a genre dealing with the discovery of saints' relics, Otter reveals how exploring the fundamental problems of writing history and the nature of truth itself leads monastic or clerical Latin writers to a budding awareness of fictionality. According to Otter, accounts of conquests, treasure hunts, descents into underground worlds, and efforts (usually unsuccessful) to retrieve subterranean objects serve as self-referential metaphors for the problems of accessing and retrieving the past; they are thus designed to shake the reader's faith in historical representation and highlight the textuality of the historical account. Otter traces this self-conscious use of fictional elements within historical narrative through the works of William of Malmesbury, Geoffrey of Monmouth, Gerald of Wales, Walter Map, and William of Newburgh. Originally published in 1996. A UNC Press Enduring Edition -- UNC Press Enduring Editions use the latest in digital technology to make available again books from our distinguished backlist that were previously out of print. These editions are published unaltered from the original, and are presented in affordable paperback formats, bringing readers both historical and cultural value.

Modular Forms and Galois Cohomology

Modular Forms and Galois Cohomology PDF Author: Haruzo Hida
Publisher: Cambridge University Press
ISBN: 9780521770361
Category : Mathematics
Languages : en
Pages : 358

Get Book Here

Book Description
Comprehensive account of recent developments in arithmetic theory of modular forms, for graduates and researchers.

The Chern Symposium 1979

The Chern Symposium 1979 PDF Author: W.-Y. Hsiang
Publisher: Springer Science & Business Media
ISBN: 1461381096
Category : Mathematics
Languages : en
Pages : 258

Get Book Here

Book Description
This volume attests to the vitality of differential geometry as it probes deeper into its internal structure and explores ever widening connections with other subjects in mathematics and physics. To most of us Professor S. S. Chern is modern differential geometry, and we, his students, are grateful to him for leading us to this fertile landscape. The aims of the symposium were to review recent developments in geometry and to expose and explore new areas of research. It was our way of honoring Professor Chern upon the occasion of his official retirement as Professor of Mathematics at the University of California. This book is a record of the scientific events of the symposium and reflects Professor Chern's wide interest and influence. The conference also reflected Professor Chern's personality. It was a serious occasion, active yet relaxed, mixed with gentleness and good humor. We wish him good health, a long life, happiness, and a continuation of his extraordinarily deep and original contributions to mathematics. I. M. Singer Contents Real and Complex Geometry in Four Dimensions M. F. ATIYAH. . . . . . . . . . . . . Equivariant Morse Theory and the Yang-Mills Equation on Riemann Surfaces RAOUL BaTT .. 11 Isometric Families of Kahler Structures EUGENIO CALABI. . 23 Two Applications of Algebraic Geometry to Entire Holomorphic Mappings MARK GREEN AND PHILLIP GRIFFITHS. • . . . • . . 41 The Canonical Map for Certain Hilbert Modular Surfaces F. HIRZEBRUCH . . . . . • . . . . . . . . . 75 Tight Embeddings and Maps. Submanifolds of Geometrical Class Three in EN NICOLAAS H. KUIPER .

Hilbert Modular Forms and Iwasawa Theory

Hilbert Modular Forms and Iwasawa Theory PDF Author: Haruzo Hida
Publisher: Clarendon Press
ISBN: 0191513873
Category : Mathematics
Languages : en
Pages : 420

Get Book Here

Book Description
The 1995 work of Wiles and Taylor-Wiles opened up a whole new technique in algebraic number theory and, a decade on, the waves caused by this incredibly important work are still being felt. This book, authored by a leading researcher, describes the striking applications that have been found for this technique. In the book, the deformation theoretic techniques of Wiles-Taylor are first generalized to Hilbert modular forms (following Fujiwara's treatment), and some applications found by the author are then discussed. With many exercises and open questions given, this text is ideal for researchers and graduate students entering this research area.

Elementary Theory of L-functions and Eisenstein Series

Elementary Theory of L-functions and Eisenstein Series PDF Author: Haruzo Hida
Publisher: Cambridge University Press
ISBN: 9780521435697
Category : Mathematics
Languages : en
Pages : 404

Get Book Here

Book Description
The theory of p-adic and classic modular forms, and the study of arithmetic and p-adic L-functions has proved to be a fruitful area of mathematics over the last decade. Professor Hida has given courses on these topics in the USA, Japan, and in France, and in this book provides the reader with an elementary but detailed insight into the theory of L-functions. The presentation is self contained and concise, and the subject is approached using only basic tools from complex analysis and cohomology theory. Graduate students wishing to know more about L-functions will find that this book offers a unique introduction to this fascinating branch of mathematics.

Manifolds and Geometry

Manifolds and Geometry PDF Author: P. de Bartolomeis
Publisher: Cambridge University Press
ISBN: 9780521562164
Category : Mathematics
Languages : en
Pages : 336

Get Book Here

Book Description
This book brings together papers that cover a wide spectrum of areas and give an unsurpassed overview of research into differential geometry.

Mathematics without Apologies

Mathematics without Apologies PDF Author: Michael Harris
Publisher: Princeton University Press
ISBN: 0691175837
Category : Mathematics
Languages : en
Pages : 468

Get Book Here

Book Description
An insightful reflection on the mathematical soul What do pure mathematicians do, and why do they do it? Looking beyond the conventional answers—for the sake of truth, beauty, and practical applications—this book offers an eclectic panorama of the lives and values and hopes and fears of mathematicians in the twenty-first century, assembling material from a startlingly diverse assortment of scholarly, journalistic, and pop culture sources. Drawing on his personal experiences and obsessions as well as the thoughts and opinions of mathematicians from Archimedes and Omar Khayyám to such contemporary giants as Alexander Grothendieck and Robert Langlands, Michael Harris reveals the charisma and romance of mathematics as well as its darker side. In this portrait of mathematics as a community united around a set of common intellectual, ethical, and existential challenges, he touches on a wide variety of questions, such as: Are mathematicians to blame for the 2008 financial crisis? How can we talk about the ideas we were born too soon to understand? And how should you react if you are asked to explain number theory at a dinner party? Disarmingly candid, relentlessly intelligent, and richly entertaining, Mathematics without Apologies takes readers on an unapologetic guided tour of the mathematical life, from the philosophy and sociology of mathematics to its reflections in film and popular music, with detours through the mathematical and mystical traditions of Russia, India, medieval Islam, the Bronx, and beyond.

The Conference on L-Functions

The Conference on L-Functions PDF Author: Lin Weng
Publisher: World Scientific
ISBN: 9812772391
Category : Mathematics
Languages : en
Pages : 383

Get Book Here

Book Description
This invaluable volume collects papers written by many of the world''s top experts on L -functions. It not only covers a wide range of topics from algebraic and analytic number theories, automorphic forms, to geometry and mathematical physics, but also treats the theory as a whole. The contributions reflect the latest, most advanced and most important aspects of L- functions. In particular, it contains Hida''s lecture notes at the conference and at the Eigenvariety semester in Harvard University and Weng''s detailed account of his works on high rank zeta functions and non-abelian L -functions. Sample Chapter(s). Chapter 1: Quantum Maass Forms (435 KB). Contents: Quantum Maass Forms (R Bruggeman); o-invariant of p -Adic L -Functions (H Hida); Siegel Modular Forms of Weight Three and Conjectural Correspondence of Shimura Type and Langlands Type (T Ibukiyama); Convolutions of Fourier Coefficients of Cusp Forms and the Circle Method (M Jutila); On an Extension of the Derivation Relation for Multiple Zeta Values (M Kaneko); On Symmetric Powers of Cusp Forms on GL 2 (H H Kim); Zeta Functions of Root Systems (Y Komori et al.); Sums of Kloosterman Sums Revisted (Y Motohashi); The LindelAf Class of L -Functions (K Murty); A Proof of the Riemann Hypothesis for the Weng Zeta Function of Rank 3 for the Rationals (M Suzuki); Elliptic Curves Arising from the Spectral Zeta Function for Non-Commutative Harmonic Oscillators and o 0 (4)-Modular Forms (K Kimoto & M Wakayama); A Geometric Approach to L -Functions (L Weng). Readership: Graduate students, lecturers, and active researchers in various branches of mathematics, such as algebra, analysis, geometry and mathematical physics."

Algebraic Geometry

Algebraic Geometry PDF Author: Dan Abramovich
Publisher: American Mathematical Soc.
ISBN: 0821847023
Category : Mathematics
Languages : en
Pages : 506

Get Book Here

Book Description
This volume contains research and expository papers by some of the speakers at the 2005 AMS Summer Institute on Algebraic Geometry. Numerous papers delve into the geometry of various moduli spaces, including those of stable curves, stable maps, coherent sheaves, and abelian varieties.

Collected Works of John Tate

Collected Works of John Tate PDF Author: Barry Mazur
Publisher: American Mathematical Soc.
ISBN: 0821890921
Category : Mathematics
Languages : en
Pages : 746

Get Book Here

Book Description
In these volumes, a reader will find all of John Tate's published mathematical papers—spanning more than six decades—enriched by new comments made by the author. Included also is a selection of his letters. His letters give us a close view of how he works and of his ideas in process of formation.