Time：15:00-16:00, Tuesday, September 29 2026
Venue：E14-215
Speaker：Qianyu Chen, USTC
Title：Filtrations on local cohomology and Injectivity
Abstract：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.
