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

By: Green, M. (Mark).
Contributor(s): Griffiths, Phillip, 1938- | Kerr, Matthew D, 1975-.
Material type: TextTextSeries: Regional conference series in mathematics ; number 118.Description: iii, 308 pages, USD 65.00 illustrations ; 25 cm.ISBN: 9781470410124 (alk. paper).Subject(s): Hodge theory | Geometry, Differential | Algebraic geometry -- Special varieties -- Grassmannians, Schubert varieties, flag manifolds | Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Cohomology of Lie (super)algebras | Topological groups, Lie groups -- Locally compact groups and their algebras -- Unitary representations of locally compact groups | Several complex variables and analytic spaces -- Deformations of analytic structures -- Period matrices, variation of Hodge structure; degenerations | Several complex variables and analytic spaces -- Complex spaces with a group of automorphisms -- Homogeneous complex manifolds | Algebraic geometry -- Families, fibrations -- Variation of Hodge structures | Algebraic geometry -- Special varieties -- Homogeneous spaces and generalizations | Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Lie algebras of linear algebraic groups | Group theory and generalizations -- Linear algebraic groups and related topics -- None of the above, but in this section | 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 -- Noncompact transformation groups -- Homogeneous spaces | Several complex variables and analytic spaces -- Automorphic functions -- Automorphic forms | Several complex variables and analytic spaces -- Holomorphic fiber spaces -- Twistor theory, double fibrations | Several complex variables and analytic spaces -- Complex manifolds -- Stein manifolds | Differential geometry -- Global differential geometry -- Homogeneous manifoldsDDC classification: 516.3/6 Other classification: 14M15 | 17B56 | 22D10 | 32G20 | 32M10 | 14D07 | 14M17 | 17B45 | 20G99 | 22E45 | 22E46 | 22F30 | 32N10 | 32L25 | 32Q28 | 53C30

"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."

Includes bibliographical references (pages 299-302) and index.