Time: 16:00-17:00, Tuesday, November 30th, 2021
ZOOM ID: 897 5087 5654
Passcode：274978
Host: Dr. Jiyuan Han
Speaker: Dr. Feng Hao, FWO postdoc researcher at KU Leuven
Title: Vanishing Theorem for Parabolic Higgs Bundles
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.
