Sung Wook Jang, Potential Log Discrepancy and Minimal Model Program I

B236-1 IBS, Korea, Republic of

    Speaker Sung Wook Jang IBS CCG Minimal model program (abbreviated as MMP) is a central problem in birational geometry. The MMP is a sequence of divisorial contractions or flips, which makes the canonical divisor closer to a nef divisor. If the MMP successfully terminates, then we have either a minimal model or a

Sung Wook Jang, Potential Log Discrepancy and Minimal Model Program II

B236-1 IBS, Korea, Republic of

    Speaker Sung Wook Jang IBS CCG We are interested in an anticanonical divisor and hope to establish the MMP for an anticanonical divisor. We believe that the beginning point is the potential log discrepancy that controls singularities of a possible resulting model of MMP for an anticanonical divisor. In this talk, we will

Sung Wook Jang, Potential Log Discrepancy and Minimal Model Program III

B236-1 IBS, Korea, Republic of

    Speaker Sung Wook Jang IBS CCG We can run an MMP for an lc pair. However, in general, we do not know whether the MMP terminates or not. Nevertheless, we can show that special MMP terminates. Immediately, we can prove the existence of minimal models for certain pairs. Analogously, for an anticanonical divisor,

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