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.

Speaker's profile: Zhou Zhengyi, graduated with a PhD from the University of California, Berkeley in 2018, and worked as a postdoctoral fellow at the Institute for Advanced Study in Princeton from 2018 to 2021. In 2021, he joined the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences as an associate researcher. My research direction is Xin Tuopu and Cut Touch Topology.