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Abstract des Vortrages von Janos Kollar

The dual complex of Calabi--Yau pairs

A log Calabi--Yau pair $(X, D)$ consists of a proper variety $X$ and an effective divisor $D$ such that $(X, D)$ is log canonical and $K_X+D$ is linearly equivalent to 0. We are interested in the cases when $D$ is ``large'' and study the dual complex of $D$. That is we aim to understand how the irreducible components of $D$ intersect each other. (joint work with Chenyang Xu)