The American Mathematical Society has published Special Values of Automorphic Cohomology Classes (2014) by Phillip Griffiths, Professor Emeritus in the School of Mathematics, Mark Green, and Matt Kerr. As a part of the Memoirs of the American Mathematical Society series, this book explores the complex geometry and coherent cohomology of nonclassical Mumford-Tate domains and their quotients by discrete groups. The authors focus on the domains on the domains D which occur as open G(ℝ)-orbits in the flag varieties for G=SU(2,1) and Sp(4), regarded as classifying spaces for Hodge structures of weight three. In the context provided by these basic examples, the authors formulate and illustrate the general method by which correspondence spaces W give rise to Penrose transforms between the cohomologies Hq(D,L) of distinct such orbits with coefficients in homogeneous line bundles.