Compactifications of Moduli — Geometry vs. Hodge Theory

Compactifications of Moduli — Geometry vs. Hodge Theory

Explore the construction and compactification of moduli spaces in algebraic geometry through this lecture by Radu Laza from SUNY Stony Brook. Compare geometric and Hodge theoretic approaches to the compactification problem, examining examples and issues in the classical case related to variations of Hodge structures of abelian variety and K3 types. Delve into a project analyzing H and I-surfaces, which represent the simplest non-classical case of surfaces of general type with p_g=2. Gain insights into this topic of great interest in algebraic geometry, presented at the University of Miami on February 1, 2021.