Green, M.

Hodge theory, complex geometry, and representation theory / Mark Green [and three others]. - iii, 308 pages : illustrations ; 25 cm. - Regional conference series in mathematics / Conference Board of the Mathematical Sciences ; number 118. . - Regional conference series in mathematics / Conference Board of the Mathematical Sciences ; number 118. .

'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.

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.

9781470410124 (alk. paper) RM242.45 1470410125 (alk. paper)


Hodge theory.
Geometry, Differential.