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Explore the intricacies of threefold divisorial contractions to curves in this one-hour conference talk by Jungkai Chen at ICBS2024. Delve into the minimal model program's effectiveness in three dimensions and learn about the recent advancements in classifying divisorial contractions to points, attributed to the work of Kawamata, Hayakawa, and Kawakita. Gain insights into potential higher-dimensional extensions of these concepts. Discover the ongoing collaborative research with Jheng-Jie Chen and Hsin-Ku Chen, as the speaker presents their joint work in progress on this fascinating topic in algebraic geometry.
