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.