时间：2021年11月30日（星期二）16:00-17:00

Time: 16:00-17:00, Tuesday, November 30th, 2021

地点：ZOOM

Venue: ZOOM

会议号/ZOOM ID：897 5087 5654

密码/Passcode：274978

主持人：韩骥原博士

Host：Dr. Jiyuan Han, Institute for Theoretical Sciences

主讲人：郝峰博士

Speaker：Dr. Feng Hao, FWO postdoc researcher at KU Leuven

报告题目/Title：Vanishing Theorem for Parabolic Higgs Bundles

报告摘要/Abstract:

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.