F-singularities and singularities in binational geometry
主 题: F-singularities and singularities in binational geometry
报告人: Professor Shunsuke Takagi (University of Tokyo)
时 间: 2016-04-08 16:00-17:00
地 点: 理科一号楼1114 (数学所活动）
F-singularities are singularities in positive characteristic defined using the Frobenius morphism. F-singularities conjecturally correspond via reduction modulo p to singularities appearing in birational geometry in characteristic zero. In this talk, I will explain recent developments on this conjectural correspondence. We also discuss a relationship between Frobenius splitting and log Calabi-Yau varieties, which can be viewed as a global version of the above correspondence.