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Me 'n Elvis
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Hodge Theory
This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, including the Hodge and Bloch-Beilinson Conjectures. Based on lectures delivered at the 2010 Summer School on Hodge Theory at the ICTP in Trieste, Italy, the book is intended for a broad group of students and researchers. The exposition is as accessible as possible and doesn't require a deep background...
Hodge Theory, Complex Geometry, and Representation Theory
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...
The History of Art
From the glories of the High Renaissance in Italy to the emotional visions of the Romantics, and from the groundbreaking techniques of the Impressionists to the radical canvases of the Abstract Expressionists, this book provides a fascinating look at the major movements in the history of Western painting. A clear chronological structure allows the reader to see each movement in its historical context and to appreciate the patterns that emerge. The historical framework shows the extent to which the powers of royalty, religion, and revolution have exerted their influence in the artistic sphere.
The Heroines of English Pastoral Romance
The figure of the woman as hero in pastoral romance is shown to grow in importance and complexity in this important new study. The genre of pastoral romance flourished dramatically in Renaissance England between 1590 and 1650. One of its key elements is that it is the daughter, not the son, of the gentle family who increasingly becomes the subject of theromance's attempt to define and illustrate heroism. The pastoral heroine's task is paradoxical: to break out of her pastoral paradise in order to ensure its reconstitution. She is the princess, the shepherdess, the Lady, or the virtuous daughter who becomes a repository of honor and virtue in a changing society where traditional chivalric def...
Publications
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Motives
'Motives' were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, and to play the role of the missing rational cohomology. This work contains the texts of the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991.
Thieme-Preusser
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