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Differential Geometry Seminar
The complex landslide flow and harmonic maps into hyperbolic two-space
The complex landslide flow and harmonic maps into hyperbolic two-space
Organizers
Speaker
Shimpei Kobayashi
Time
Tuesday, March 11, 2025 2:45 PM - 4:30 PM
Venue
A3-4-301
Abstract
I will talk about a connection between the complex landslide flow, defined on a pair of Teichmüller spaces, and the integrable system approach to harmonic maps into hyperbolic two-space.
I will show that the holonomy of the complex landslide flow can be derived from the holonomy of the family of flat connections determined by a harmonic map into the hyperbolic two-space.