The gradient flow of Higgs pairs
主讲人: Professor Xi Zhang (USTC)
活动时间: 从 2013-01-24 00:00 到 00:00
场地: Room 09 at Quan-Zhai (全斋), BICMR, Peking University
Title: The gradient flow of Higgs pairs
Speaker: Professor Xi Zhang (USTC)
Venue: Room 09 at Quan-Zhai (全斋), BICMR, Peking University
Time: Jan 24, 2013, Thursday, 10:30--11:30 a.m.
Abstract: In this talk, I'll introduce our recent work (jiont with Li JiaYu) on the gradient flow of the Yang-Mills-Higgs functional of Higgs pairs. Over general Kaehler manifolds, we prove that: the isomorphism class of the limiting Higgs sheaf is given by the double dual of the graded Higgs sheaves associate to Harder-Narasimhan-Seshadri filtration of the initial Higgs bundle.