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In its simplest form, Hodge theory is the study of periods – integrals of algebraic differential forms which arise in the study of complex geometry and moduli, number theory and physics. Organized around the basic concepts of variations of Hodge structure and period maps, this volume draws together new developments in deformation theory, mirror symmetry, Galois representations, iterated integrals, algebraic cycles and the Hodge conjecture. Its mixture of high-quality expository and research articles make it a useful resource for graduate students and seasoned researchers alike.
Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains. Containing basic theory and a wealth of new views and results, it will become an essential resource for graduate students and researchers. Although Mumford-Tate groups can be defined for general structures, their theory and use to date has mainly been in the classical case of abelian varieties. While the book does examine this area, it focuses on the nonclassical case. The general theory turns out to be very rich, such as in the unexpected connections of fin...
This book shows how prose writers in the Victorian period grappled with the sea as a setting, a shaper of plot and character, as a structuring motif, and as a source of metaphor.
Master the latest digital security automation technologies Achieve a unified view of security across your IT infrastructure using the cutting-edge techniques contained in this authoritative volume. Security Automation Essentials: Streamlined Enterprise Security Management & Monitoring with SCAP lays out comprehensive technical, administrative, and operational strategies for security management. Discover how to define baseline requirements, automatically confirm patches and updates, identify vulnerabilities, write customized auditing content, and evaluate compliance across your enterprise. Throughout, the authors provide detailed case studies and tips on selecting appropriate security compone...
The authors study the complex geometry and coherent cohomology of nonclassical Mumford-Tate domains and their quotients by discrete groups. Their focus throughout is on the domains which occur as open -orbits in the flag varieties for and , regarded as classifying spaces for Hodge structures of weight three. In the context provided by these basic examples, the authors formulate and illustrate the general method by which correspondence spaces give rise to Penrose transforms between the cohomologies of distinct such orbits with coefficients in homogeneous line bundles.
A new edition of a beloved cookbook celebrating the classic dishes and witty humor that were signature to TV chef Graham Kerr’s The Galloping Gourmet. With his hallmark joyous abandon, British-born chef Graham Kerr was a pioneer of food television, hosting the popular series The Galloping Gourmet from 1969 to 1971. Kerr presented approachable, step-by-step instructions for recipes packed with personality and flavor. A bible for generations of fans, this classic cookbook is now reissued, with new commentary from Kerr and an introduction by the Lee brothers. Kerr’s knowing and fun-loving approach to home cooking was ahead of its time, and has more in common with Mario Batali’s or Jamie O...
This monograph presents topics in Hodge theory and representation theory, two of the most active and important areas in contemporary mathematics. The underlying theme is the use of complex geometry to understand the two subjects and their relationships to one another--an approach that is complementary to what is in the literature. Finite-dimensional representation theory and complex geometry enter via the concept of Hodge representations and Hodge domains. Infinite-dimensional representation theory, specifically the discrete series and their limits, enters through the realization of these representations through complex geometry as pioneered by Schmid, and in the subsequent description of au...
This Training Guide is amongst one of the most resourceful and informative out there. Packed full of reliable and tested information - written by a highly experienced Trainer. Easy to read, and in-depth in its nature - you will thoroughly enjoy your journey through it, all while expanding your knowledge. It contains a wealth of interesting facts and reliable information, along with detailed advice for owners. This is one book that is certainly a must-have addition to your collection.
"This book is devoted to recent progress in the study of curves and abelian varieties. It discusses both classical aspects of this deep and beautiful subject as well as two important new developments, tropical geometry and the theory of log schemes." "In addition to original research articles, this book contains three surveys devoted to singularities of theta divisors. of compactified Jucobiuns of singular curves, and of "strange duality" among moduli spaces of vector bundles on algebraic varieties."--BOOK JACKET.
This volume presents a lively introduction to the rapidly developing and vast research areas surrounding Calabi–Yau varieties and string theory. With its coverage of the various perspectives of a wide area of topics such as Hodge theory, Gross–Siebert program, moduli problems, toric approach, and arithmetic aspects, the book gives a comprehensive overview of the current streams of mathematical research in the area. The contributions in this book are based on lectures that took place during workshops with the following thematic titles: “Modular Forms Around String Theory,” “Enumerative Geometry and Calabi–Yau Varieties,” “Physics Around Mirror Symmetry,” “Hodge Theory in String Theory.” The book is ideal for graduate students and researchers learning about Calabi–Yau varieties as well as physics students and string theorists who wish to learn the mathematics behind these varieties.