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The extended Bogomolny equations with Nahm pole boundary conditions

来源: 10-30

时间:Thur., 16:00-17:00, Oct. 31, 2024

地点:B725, Shuangqing Complex Building

主讲人:Weifeng Sun

YMSC Topology Seminar

Organizers:

陈伟彦、高鸿灏、黄意、林剑锋、孙巍峰

Speaker:

Weifeng Sun (YMSC)

Time:

Thur., 16:00-17:00, Oct. 31, 2024

Venue:

B725, Shuangqing Complex Building

清华大学双清综合楼A座B725


Online:

Zoom Meeting ID: 405 416 0815

Passcode: 111111

Title:

The extended Bogomolny equations with Nahm pole boundary conditions

Abstract:

There is a well-known proposal by Witten that the Kapustin-Witten equations with Nahm pole type of boundary conditions can be related with knot invariants. While the Kapustin-Witten equations are generally hard to analyse, its local model: The extended Bogomolny equations are much easier. These equations are defined on X×(0,+∞), where X is a 3-dimensional manifold with possibly knotted points. In this talk, I will give an introduction on Witten's proposal and some studies on these equations.

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