Time：16:00-17:30, Friday, June 5 2026
Venue：E14-301
Host：Xin Fu, ITS
Speaker：Junyan Cao, Université Côte d'Azur
Title：Hodge theory for local systems and cohomological support loci
Abstract：In this talk, we would like to establish an L2-Hodge theory for the cohomology of rank-one local systems on quasi-compact Kähler manifolds. As an application, we will give a proof of the cohomology jumping loci property on quasi-compact Kähler manifolds by using a suitable versions of debar-lemma. It is a joint work with Ya Deng, Christopher Hacon and Mihai Paun.
