Presentation Name: | Length spectrum compactification of the SL(3,R)-Hitchin component |
---|---|
Presenter: | Andrea Tamburelli |
Date: | 2020-12-08 |
Location: | ZOOM会议ID: 66168025600,密码: 123456 |
Abstract: | Higher Teichmuller theory studies geometric and dynamical properties of surface groups representations into higher rank Lie groups. One of these higher Teichmuller spaces is the SL(3,R)-Hitchin component, a connected component in the SL(3,R)-character variety that entirely consists of faithful and discrete representations that are the holonomies of convex real projective structures on a surface. In a joint work with Charles Ouyang, inspired by Bonahon's interpretation of Thurston's compactification of Teichmuller space by means of geodesic currents, we describe the length spectrum compactification of the SL(3,R)-Hitchin component. We interpret the boundary points as hybrid geometric structures on a surface that are in part flat and in part laminar. |
Annual Speech Directory: | No.332 |
220 Handan Rd., Yangpu District, Shanghai ( 200433 )| Operator:+86 21 65642222
Copyright © 2016 FUDAN University. All Rights Reserved