中文摘要：

希格斯层最先由Hitchin于20世纪80年代引入,经过30余年的发展,取得了非常丰富的研究结果,并且与其他数学研究领域有着密切联系,如规范理论、群表示论、凯勒与超凯勒几何、非阿贝尔霍奇理论等.本文首先回顾希格斯层的相关基本概念,在此基础上介绍厄米特-杨-米尔斯热流的相关经典结果及其发展历程,然后也介绍我们最近得到的关于厄米特-杨-米尔斯热流的收敛性结果.

英文摘要：

Higgs sheaves were introduced by Hitchin at 1980’s. They they have a rich structure and play a role in many different areas including gauge theory, Khler and hyperkhler geometry, group representations and nonabelian Hodge theory. Here the basic concept of Higgs sheaves were reviewed first,and then the classical results of the Hermitian-Yang-Mills flow were surveyed.Finally,an introduction was given to introduce our recent work on the limiting behavior of the Hermitian-Yang-Mills flow.