动力系统讨论班    

题目： Kahler compactification of C^n and Reeb dynamics    

报告人：周正一教授（中科院数学所）    

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.      

报告时间：2024年09月20日（周五）上午10:30-11:30

报告地点：教二楼608    

联系人：孙善忠