研讨班报告

代数几何研讨班:Lectures on Yang-Mills connection

发布时间:2021-01-25
 

中科院数学与系统科学研究院

数学研究所

 

代数几何研讨班

 

报告人:傅鑫(University of California Irvine, USA)

题  目: Lectures on Yang-Mills connection

腾讯会议:(统一密码:2021)

Lecture 1: 2021.01.25, 9:30—11:30 (会议号:979807920)

Lecture 2: 2021.01.27, 9:30—11:30 (会议号:904175744)

Lecture 3: 2021.01.29, 9:30—11:30 (会议号:846543397)

Lecture 4: 2021.02.01, 9:30—11:30 (会议号:453639610)

摘 要:

Lecture 1: After quick recall basic notions of Yang-Mills connection, we sketch Uhlenbeck's 

compactness theorem and removable of singularity theorem for Yang-Mills connection in 

dimension 4.

Lecture 2: We discuss Donaldson's proof for complex dimension 1 and 2.

Lecture 3: We discuss Uhlenbeck-Yau's proof of DUY Theorem for all dimensions.

Lecture 4: We discuss Taubes' gluing theorem for self-dual connection on 4 dimensional

Riemannian manifold.


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