Hodge Theory, Complex Geometry, and Representation Theory
Language: English
Published by American Mathematical Society, US, 2013
- Softcover
- New
Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
AbeBooks seller since June 11, 2025
Condition: New
£ 59.77
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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 realisation of these representations through complex geometry as pioneered by Schmid, and in the subsequent description of automorphic cohomology. For the latter topic, of particular importance is the recent work of Carayol that potentially introduces a new perspective in arithmetic automorphic representation theory. The present work gives a treatment of Carayol's work, and some extensions of it, set in a general complex geometric framework. Additional subjects include a description of the relationship between limiting mixed Hodge structures and the boundary orbit structure of Hodge domains, a general treatment of the correspondence spaces that are used to construct Penrose transforms and selected other topics from the recent literature.…
Seller Inventory # LU-9781470410124
- Title
- Hodge Theory, Complex Geometry, and Representation Theory
- Author
- Mark Green, Phillip Griffiths, Matt Kerr
- Publisher
- American Mathematical Society, US
- Publication year
- 2013
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1470410125
- ISBN 13
- 9781470410124
- Item weight
- 545 grams
The present work gives a treatment of Carayol's work, and some extensions of it, set in a general complex geometric framework. Additional subjects include a description of the relationship between limiting mixed Hodge structures and the boundary orbit structure of Hodge domains, a general treatment of the correspondence spaces that are used to construct Penrose transforms and selected other topics from the recent literature.
"Synopsis" may belong to another edition of this title.
About the Author
Phillip Griffiths, Institute of Advanced Study, Princeton, NJ, USA
Matt Kerr, Washington University, St. Louis, MO, USA
"About the title" may belong to another edition of this title.
Rarewaves.com UK
London, United Kingdom
AbeBooks seller since June 11, 2025
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