Time: 13:00-15:25, Every Monday of Spring 2025 Semester
Venue: E10-215
Speaker: Jiyuan Han
Course Description:
The course is designed to present an introduction to the complex geometry from the view of canonical metrics. In week 1-4, we will cover some preliminary knowledge, which includes holomorphic vector bundles, Kähler structure, Hodge decomposition. In week 5-12, we will focus on the Hitchin-Kobayashi correspondence (poly-stable vector bundles correspond to Hermitian Yang-Mills connections). In the last 5 weeks, we will have a sketchy introduction to the minimal model program and Kähler Einstein metrics.
The following pre-requisites will be helpful: differential manifold, complex analysis, elliptic PDE.
