Algebraic Cycles and Moduli

June 2, 2016 - June 8, 2016

Centre de recherches mathématiques Université de Montréal Pavillon André-Aisenstadt 2920, Chemin de la tour, 5th floor Montréal (Québec) H3T 1J4 CANADA

This workshop will focus on recent advances in moduli theory and algebraic cycles, with a particular emphasis on Hodge-theoretic aspects and new connections between these two subjects. One such point of contact is the representation theory of the Mumford-Tate group, which gives a powerful toolbox for classifying variations and degenerations of Hodge structure, and its interplay with recent activity on compactifications of moduli stemming from geometric invariant theory, the minimal model program, and mirror symmetry. The normal functions arising from cycles and the interesting loci in moduli supporting them, as well as the Hodge Conjecture, provide further sources of interactions between the two subjects.