Hodge theory, complex geometry, and representation theory
By: Mark Green, Phillip Griffiths, Matt Kerr
Contributors: Griffiths, Phillip, 1938-; Kerr, Matthew D., 1975-
Series: Regional conference series in mathematics -- number 118
Publisher: Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society
Published: 2013
Place of publication: Providence, Rhode Island
Language: eng
Number of pages: 308
ISBN-13: 9781470410124
Subjects: Hodge theory; Differential Geometry; 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 manifolds
Notes: "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.