辛拓扑与物理讨论班——Kahler compactification of C^n and Reeb dynamics

报告人：周正一（中国科学院数学与系统科学研究院）

时间：2024年10月30日14:00-15:30

地点：海纳苑2幢206

摘要：We will present two results in complex geometry: (1) A Kahler compactification of C^n with a smooth divisor complement must be P^n, which confirms a conjecture of Brenton and Morrow (1978) under the Kahler assumption; (2) Any complete asymptotically conical Calabi-Yau metric on C^3 with a smooth link must be flat, confirming a modified version of Tian's conjecture regarding the recognition of the flat metric among Calabi-Yau metrics in dimension 3. Both proofs rely on relating the minimal discrepancy number of a Fano cone singularity to its Reeb dynamics of the conic contact form. This is a joint work with Chi Li.

联系人：吴惟为（wwwu9693@zju.edu.cn）