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

  目: Lectures on Yang-Mills connection

腾讯会议:(统一密码:2021

Lecture 1: 2021.01.25 9:30—1130 (会议号:979807920

Lecture 2: 2021.01.27 9:30—1130 (会议号:904175744

Lecture 3: 2021.01.29 9:30—1130 (会议号:846543397

Lecture 4: 2021.02.01 9:30—1130 (会议号:453639610

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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