Log Symplectic Pairs and Mixed Hodge Structures

This course aims to explore the concept of log symplectic pairs and their connection to degenerations of hyperkaehler varieties. By discussing log symplectic pairs of "pure weight" and their classification analogous to log Calabi-Yau surfaces, participants will learn about distinguishing features, mixed Hodge structures, and the cohomology of log symplectic pairs. The teaching method involves lectures on topics such as degenerations of K3 surfaces and blowing up toric varieties. This course is intended for individuals interested in algebraic geometry, symplectic geometry, and Hodge theory.