Hodge theory for local systems and cohomological support loci

2026-05-29 09:49:30

时间:2026年6月5日(星期五),16:00-17:30

地点:E14-301


主持人:傅鑫 理论科学研究院

主讲人:曹俊彦 Université Côte d'Azur

报告主题:Hodge theory for local systems and cohomological support loci

报告摘要: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.