The complex landslide flow via harmonic maps into hyperbolic two-space

YMSC Topology Seminar

Organizers：

陈伟彦、高鸿灏、黄意、林剑锋、孙巍峰

Speaker：

Shimpei KOBAYASHI

Hokkaido University

Time：

Mon., 10:00-11:00 am, Mar.10, 2025

Venue：

C654, Shuangqing Complex Building A

Online：

Zoom meeting ID: 405 416 0815

Password: 111111

Title:

The complex landslide flow via harmonic maps into hyperbolic two-space

Abstract：

In this talk, I will discuss a connection between the complex landslide flow, defined on a pair of Teichmüller spaces, and the integrable systems approach to harmonic maps into hyperbolic two-space.

I will show how the holonomy of the complex landslide flow can be derived from the holonomy of a family of flat connections associated with a harmonic map into hyperbolic two-space.

This perspective provides further insight into the interplay between deformation theory and integrable systems.