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Introduction to the canonical metrics in Keahler geometry

 

主讲人：孙晓峰博士（哈佛大学数学系）
授课时间：6月29日，6月30日，上午9：30-11：30；7月1日下午12：00-2:00
地点：数学中心201教室

 

课程简介: We will first talk about the proof of Calabi conjecture including Yau's proof using continuity method and H.D. Cao's proof using Keahler-Ricci flow. Secondly, we will give the proof of Uhlenbeck-Yau about the existence of Hermitian-Einstein metrics on stable bundles.Thirdly, we will briefly discuss the deformation theory of complex structures: Kodaira-Spencer theory and/or Kuranishi family. We will also discuss the Weil-Petersson metric on the local deformation space of Keahler-Einstein manifolds. Finally, we will discuss canonical metrics on the curve moduli if we have time.