Remarks on Degenerations of K-Trivial Varieties

Explore a comprehensive lecture on degenerations of K-trivial varieties, delivered by Radu Laza from SUNY Stony Brook at the University of Miami. Delve into Kulikov's theorem and its applications, gaining insights into the degenerations of K3 surfaces and their impact on moduli space compactifications. Examine higher-dimensional analogues of these results, with a focus on Hyperkaehler manifolds and their similarities to K3 surfaces. Conclude by investigating potential approaches to address the more complex Calabi-Yau case, broadening your understanding of algebraic geometry and complex manifolds.