Preface

Summary

The summer school and conference on “Recent advances in Hodge theory: Period domains, algebraic cycles, and arithmetic” was held from June 10-20, 2013 at the Pacific Institute of Mathematical Sciences, on the beautiful campus of the University of British Columbia in Vancouver, Canada. It was organized by Matt Kerr (Washington University in St. Louis), James D. Lewis (University of Alberta), and Gregory Pearlstein (Texas A&M University).

The conference received generous financial and administrative assistance from PIMS, and we are grateful to Ruth Situma and the rest of the PIMS staff for their hard work. In addition to PIMS, it was supported by the NSF (Conference Grant DMS-1259024), NSA, and Foundation Compositio Mathematica. We are grateful to all these sponsor organizations, whose support allowed for a large number of junior participants, as well as a significant number of participants from outside North America. This led to a vibrant and memorable event.

This proceedings volume for the 2013 Hodge theory conference is edited by Matt Kerr and Gregory Pearlstein. All papers in this volume have been rigorously peer-reviewed, in several instances by more than one referee. The editors wish to express their appreciation to all the referees for their efforts, especially given the short time-frame. In addition, we want to thank Sam Harrison and the staff at Cambridge University Press for their assistance in preparing the volume.

A couple of the articles contained herein congratulate our co-organizer James Lewis on his 60th birthday, which was celebrated on the last day of the conference. We wanted to add our congratulations and thanks, both for his work as co-organizer and for his friendship, support, and inspiring mathematical presence over the years.