The Ohio State University will host a conference entitled 'Hodge Theory and Classical Algebraic Geometry' on May 13--15, 2013. The conference will cover Hodge theory, classical algebraic geometry and the interactions between them. The principal topics will include abelian varieties, higher dimensional algebraic geometry, and mirror symmetry. Speakers will address recent progress in approaches to the Hodge conjecture, compactifications of period domains, variations of Hodge structures, algebraicity of Hodge class loci, and normal functions.
The goals of the conference are (1) to generate new ideas and collaborations, (2) to formulate and disseminate new problems and directions of research, (3) to involve a new generation of researchers in these subjects. This will be the first event in the U.S. devoted to the progress that has been made in Hodge theory over the past five years, as well as to the applications that it has in other parts of algebraic geometry. One of the central problems in this area is to resolve the Hodge conjecture; this is one of the Millennium Prize Problems of the Clay Mathematics Institute. The conference webpage can be found at www.math.osu.edu/conferences/hodge/.
took place on May 13th to 15th, 2014 at the Ohio State University in Columbus. There were 17 plenary lectures attended by approximately 90 participants. Hodge Theory is a part of algebraic geometry having connections to many other central parts of mathematics and to theoretical physics. All the conference lectures described original mathematical research which had just been concluded or which was still in progress. The goals of the project were (1) to generate new ideas and collaborations, (2) to formulate and disseminate new problems and directions of research, (3) to involve a new generation of researchers in Hodge Theory and related parts of mathematics. The conference supported participation by graduate students and postdoctoral researchers from across the country and from several foreign universities. In the small setting of the conference there was interaction among these young mathematicians, as well as between them and the senior personnel who lectured. The results have been disseminated in two ways: (1) Videos from most conference lectures are available at the web page https://people.math.osu.edu/events/hodge/videos.html. (2) A conference proceedings volume is now in preparation, with the four co-PI's as editors. All contributions will be refereed. The volume has received a preliminary acceptance from the editors of the Contemporary Mathematics series published by the American Mathematical Society.
