The extended Bogomolny equations with Nahm pole boundary conditions

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.