Vanishing Theorem for Parabolic Higgs Bundles

2021-11-26 16:25:44



ZOOM会议号897 5087 5654



主讲人:郝峰博士,FWO postdoc researcher at KU Leuven

报告题目:Vanishing Theorem for Parabolic Higgs Bundles


In 1990, Saito gave a very general vanishing theorem on mixed Hodge modules. In the special case of variation of mixed Hodge structure over the complement of a normal crossing divior on a smooth projective variety, Arapura gave a new proof of Saito's vanishing theorem using Higgs bundles in characteristic p, and proved a vanishing theorem for Higgs bundles. In this talk, Dr. Hao will give an alternative proof of Arapura's vanishing theorem for Higgs bundle using L² methods. This is a joint work with Ya Deng.