Time: 14:00-15:30, Friday, May 23 2025
Venue：E4-233
Host：Xin Fu, ITS
Speaker：Xi Zhang, Nanjing University of Science and Technology
Biography：Zhang Xi is a Professor at the School of Mathematics and Statistics, Nanjing University of Science and Technology. His research focuses on differential geometry, geometric analysis, and complex geometry. He has made contributions to the existence of canonical metrics and related nonlinear partial differential equations, including Collaboratively resolving the Atiyah-Bott-Bando-Siu conjecture in the Hermitian-Yang-Mills flow; establishing a differential-geometric characterization of numerically flat bundles in non-Kähler settings; proving convergence results for the Kähler-Ricci flow with conical singularities. His work has been published in journals such as: Adv. Math., Crelle's Journal, CMP, J.EMS, JFA, Math. Ann., TAMS.
Title：The Hermitian-Yang-Mills flow and its applications
Abstract: The Hermitian-Yang-Mills flow was first introduced by Donaldson. When the base manifold is a compact Kähler manifold, this flow coincides with the Yang-Mills flow. In this talk, we introduce our recent results on the long-time behavior of the Hermitian-Yang-Mills flow over non-Kähler manifolds, along with related applications. These works are joint with Zeng Chen, Chao Li, Shiyu Zhang and Chuanjing Zhang.
