Title: Geometry and Analysis on Higgs bundles
Speaker:Xi Zhang
Affiliation: Nanjing University of Science & Technology
Time: October 14, 2025, 16:30-17:30
Location: Zoom
Meeting ID: 904 645 6677
Password: 2025
Join Link://zoom.us/j/9046456677?pwd=LJpBPzAw2Sn0MKhb0Qc6QdJ1jEeh7B.1&omn=88293207047
Abstract
Higgs bundle was introduced by Hitchin, it closely related to multiple fields such as non-abelian Hodge correspondence, algebraic geometry, K\"ahler geometry and group representations. In this talk, we introduce our recent works on the existence of canonical metrics on Higgs bundles and their applications. These works are joint with Chao Li, Shiyu Zhang and Chuanjing Zhang.
Speaker's Bio
Zhang Xi is a professor, doctoral supervisor, and dean of the School of Mathematics and Statistics at Nanjing University of Science and Technology. He serves as the Chairman of the Applied Mathematics Professional Committee of the China Ordnance Industry Association, a Standing Director of the Chinese Mathematical Society, Vice President of the Jiangsu Mathematical Society, and a member of the editorial board of Acta Mathematica Sinica. His main research areas include differential geometry, geometric analysis, and complex geometry. He has achieved multiple research results in aspects such as the existence of canonical metrics and related nonlinear partial differential equations: he collaborated to solve the Bando-Xiao Yintang conjecture in the Hermitian-Yang-Mills flow, provided a differential geometric characterization of numerically flat bundles in non-Kähler cases, and obtained convergence results for Kähler-Ricci flows with conical singularities. Relevant works have been published in important mathematical journals such as Advances in Mathematics, Crelle's Journal, Communications in Mathematical Physics, Journal of the European Mathematical Society, Mathematische Annalen, Proceedings of the London Mathematical Society, and Transactions of the American Mathematical Society. In 2012, he was selected into the Chinese Academy of Sciences 'Hundred Talents Program', and in 2016, he received the National Natural Science Foundation of China Distinguished Young Scholars Fund. In the past five years, he has presided over key projects of the National Natural Science Foundation of China and topic projects of national key R&D program special projects.
