I will explain a formula relating the minimal discrepancy of Fano cone singularities and Reeb dynamics on the Sasaki link as well as Floer theoric invariants. Such a result can be used to obtain the uniqueness of Kähler compactification of Cn provided the added divisor is smooth. Time permitting, I will also explain a sharp upper bound of minimal discrepancy of Fano cone singularities motivated from this formula as well as compactifications of affine varieties beyond Cn. This is based on joint works with Chi Li.

报告人简介：周正一，2018年博士毕业于加州大学伯克利分校，2018-2021年于普林斯顿高等研究院从事博士后工作。2021年加入中国科学院数学与系统科学研究院，任副研究员。研究方向是辛拓扑与切触拓扑。