中科院数学与系统科学研究院
数学研究所
代数几何研讨班
报告人:司 飞(北京大学)
题 目:Cohomology of compact moduli spaces of cubic fourfolds
时 间:2021.09.15(星期三),09:30-11:30
地 点:晨兴楼410室
摘 要:The moduli space of smooth cubic fourfolds is a open subset of 20-dimensional locally symmetric variety of Type IV. It has geometric invariant theory (GIT) compactification and Baily-Borel compactification. The period map of cubic fourfolds induces a birational map between these two compactifications. In this talk, I will explain how to use Laza's work on a explicit resolution of the birational map and BBDG's decomposition theorem to compute cohomology of these compact moduli spaces of cubic fourfolds.