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Introduction to Complex Geometry (III)
时间  Datetime
2017-03-22 14:00 — 16:00
地点  Venue
中院103
报告人  Speaker
Sui-Chung Ng
单位  Affiliation
East China Normal University
邀请人  Host
Group of Geometry
报告摘要  Abstract
This is a lecture series about Complex Geometry. The lectures will talk about the following topics:
1. Basics of complex manifolds: Complex structure, examples, Cauchy-Riemann operator, Dolbeault complex, Dolbeaultcohomology
2. Metrics on complex manifolds: Hermitian manifolds, definitions of K?hler metrics, examples, Bergman metric, Laplace operator, Harmonic forms
3. Curvature: Hermitian vector bundles, connection, curvature operator, Ricci curvature, Chern classes, Bochner techniques and vanishing theorems
4. Hermitian symmetric spaces: Riemannian symmetric spaces,basics of Lie groups and lie algebras, Hermitian symmetric spaces, bounded symmetric domains
This is the first lecture. The talk will be given in Chinese. Everyone is welcome.