时间:2026年9月29日(周二)15:00-16:00
地点:E14-215
报告人:中国科学技术大学 陈钱钰
报告主题:Filtrations on local cohomology and Injectivity
报告摘要:Local cohomology modules were introduced by Grothendieck in algebraic geometry. There are two filtrations on local cohomology modules of different nature: the Hodge filtration and the Ext filtration. In this talk, I will discuss a result that the Hodge filtration is contained Ext filtration, which answers a question of Mustata and Popa. Using the same idea, we can also resolve the injectivity conjecture of Popa-Shen-Vo. This is joint work with Sebastian Olano and Brad Dirks.