Hodge Theory in String Theory

 Hodge theory has played an important role in understanding the interaction between mathematics and physics over the past two decades. For instance, the predictions of mirror symmetry can be understood as expansions of the period integrals at the boundary of the moduli space of complex structures. This workshop aims to survey and explore the interaction between Hodge theory and physics in the understanding of Calabi-Yau varieties. Specifically, we focus on the study of moduli spaces of Calabi-Yau varieties and their compactifications from the perspective of period maps, with applications to various string dualities. Conversely, we expect that ideas from physics will lead to new insights on the mathematical side.
Topics will include (but not limited to):
• Degenerations of Hodge structures
• Compactifications of period domains
• Period maps, Picard-Fuchs differential equations
• Hodge theory and algebraic cycles
• Arithmetic properties of periods
• String theory and Hodge theory