Hodge Theory, Complex Geometry, and Representation Theory
The American Mathematical Society and the Conference Board of Mathematical Sciences have co-published Hodge Theory, Complex Geometry, and Representation Theory (2013) by Phillip Griffiths, Professor Emeritus in the School of Mathematics, Mark Green, and Matt Kerr. This monograph presents topics in Hodge theory and representation theory, two of the most active and important areas in contemporary mathematics. The underlying theme is the use of complex geometry to understand the two subjects and their relationships to one another—an approach that is complementary to what is in the literature. Additional subjects include a description of the relationship between limiting mixed Hodge structures and the boundary orbit structure of Hodge domains, a general treatment of the correspondence spaces that are used to construct Penrose transforms, and selected other topics from the recent literature.