Hodge Theory

Princeton University Press has published Hodge Theory (2014) edited by Phillip Griffiths, Professor Emeritus in the School of Mathematics, Eduardo Cattani, Fouad El Zein, and Lê Dũng Tráng. This book provides a comprehensive and up-to-date introduction to Hodge theory, one of the central and most vibrant areas of contemporary mathematics. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, including the Hodge and Bloch-Beilinson Conjectures. Based on lectures delivered at the 2010 Summer School on Hodge Theory at the ICTP in Trieste, Italy, the book is intended for a broad group of students and researchers.