Franklin

Hodge theory, complex geometry, and representation theory / Mark Green, Phillip Griffiths, Matt Kerr.

Author/Creator:
Green, M. (Mark) author.
Publication:
Providence, Rhode Island : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, [2013]
Format/Description:
Book
iv, 308 pages : illustrations ; 26 cm
Series:
Regional conference series in mathematics; no. 118.
Regional conference series in mathematics / Conference Board of the Mathematical Sciences ; number 118
Status/Location:
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Details

Subjects:
Complex manifolds -- Congresses.
Hodge theory -- Congresses.
Representations of groups -- Congresses.
Geometry, Differential -- Congresses.
Contents:
The classical theory (2 parts)
Polarized Hodge structures and Mumford-Tate groups and domains
Hodge representations and Hodge domains
Discrete series and n-cohomology
Geometry of flag domains (2 parts)
Penrose transforms in the two main examples
Automorphic cohomology
Miscellaneous topics and some open questions.
Notes:
"[Published] with support from the National Science Foundation."
"NSF-CBMS regional conference in the mathematical sciences: Hodge Theory, Complex Geometry, and Representation Theory, held at Texas Christian University, Fort Worth, Texas, June 18-22, 2012"--Title-page verso.
Based on ten lectures given by the second author at the CBMS sponsored conference Hodge Theory, Complex Geometry, and Representation Theory ... and on selected developments that have occurred since then ... [presented in] two parts ... the lectures themselves ... as they were given at the CBMS conference ... [and] appendices to the later lectures ... a unifying theme is the geometry of homogeneous complex manifolds"--Page 1.
Includes bibliographical references (pages 299-302) and index.
Contributor:
Griffiths, Phillip, 1938- author.
Kerr, Matthew D., 1975- author.
ISBN:
9781470410124 (pbk. : acid-free paper)
1470410125 (pbk. : acid-free paper)
OCLC:
854541741