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.