Boundedness of SLC Degenerations of Polarized Log Calabi-Yau Pairs

Explore a 56-minute lecture on the boundedness of slc degenerations of polarized log Calabi-Yau pairs presented by Junpeng Jiao at the Hausdorff Center for Mathematics. Delve into the study of log pair families over smooth curves with general fibers as log Calabi-Yau pairs in fixed bounded families. Examine the existence of a divisor on the family with ample restriction on general fibers and bounded volume. Discover how, when the total space has a relatively trivial log canonical divisor and the special fiber has slc singularities, every irreducible component of the special fiber becomes birationally bounded. Gain insights into advanced mathematical concepts and their applications in algebraic geometry.