| Dewey Class |
516.3/6 |
| Title |
Hodge theory, complex geometry, and representation theory / ([EBook] ) / Mark Green, Phillip Griffiths, Matt Kerr. |
| Author |
Green, M. |
| Added Personal Name |
Griffiths, Phillip, , 1938- |
| Kerr, Matthew D., , 1975- |
| Publication |
Providence, Rhode Island : : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, , [2013] |
| Physical Details |
1 online resource (iii, 308 pages : illustrations) |
| Series |
CBMS regional conference series in mathematics 2380-5668 ; ; 118 |
| ISBN |
9781470414382 (online) |
| Note |
"Support from the National Science Foundation." |
| "NSF-CBMS Regional Conference in the Mathematical Sciences on Hodge Theory, Complex Geometry, and Representation Theory, held at Texas Christian University, June 18-22, 2012." |
| Contents note |
1. Introduction: 2. The classical theory: Part I: 3. The classical theory: Part II: 4. Polarized Hodge structures and Mumford-Tate groups and domains: 5. Hodge representations and Hodge domains: 6. Discrete series and $\mathfrak {n}$-cohomology: 7. Geometry of flag domains: Part I: 8. Geometry of flag domains: Part II: 9. Penrose transforms in the two main examples: 10. Automorphic cohomology: 11. Miscellaneous topics and some questions: |
| Mode of acces to digital resource |
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2013 |
| Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://www.ams.org/cbms/118 |
| See Also |
https://doi.org/10.1090/cbms/118 |
| Links to Related Works |
Subject References:
- Algebraic geometry -- Families, fibrations -- Variation of Hodge structures .
- Algebraic geometry -- Special varieties -- Grassmannians, Schubert varieties, flag manifolds .
- Algebraic geometry -- Special varieties -- Homogeneous spaces and generalizations .
- Differential geometry -- Global differential geometry -- Homogeneous manifolds .
- Geometry, Differential .
- Group theory and generalizations -- Linear algebraic groups and related topics -- None of the above, but in this section .
- Hodge theory .
- Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Cohomology of Lie (super)algebras .
- Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Lie algebras of linear algebraic groups .
- Several complex variables and analytic spaces -- Automorphic functions -- Automorphic forms .
- Several complex variables and analytic spaces -- Complex manifolds -- Stein manifolds .
- Several complex variables and analytic spaces -- Complex spaces with a group of automorphisms -- Homogeneous complex manifolds .
- Several complex variables and analytic spaces -- Deformations of analytic structures -- Period matrices, variation of Hodge structure; degenerations .
- Several complex variables and analytic spaces -- Holomorphic fiber spaces -- Twistor theory, double fibrations .
- Topological groups, Lie groups -- Lie groups -- Representations of Lie and linear algebraic groups over real fields: analytic methods .
- Topological groups, Lie groups -- Lie groups -- Semisimple Lie groups and their representations .
- Topological groups, Lie groups -- Locally compact groups and their algebras -- Unitary representations of locally compact groups .
- Topological groups, Lie groups -- Noncompact transformation groups -- Homogeneous spaces .
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