Geometry Colloquium

Seminar information archive ~03/28Next seminarFuture seminars 03/29~

Date, time & place Friday 10:00 - 11:30 126Room #126 (Graduate School of Math. Sci. Bldg.)

2014/12/19

10:00-11:30   Room #126 (Graduate School of Math. Sci. Bldg.)
Yuichi KABAYA (Kyoto University)
Exotic components in linear slices of quasi-Fuchsian groups
[ Abstract ]
The linear slice of quasi-Fuchsian punctured torus groups is defined by fixing the length of some simple closed curve to be a fixed positive real number. It is known that the linear slice is a union of disks, and it has one `standard' component containing Fuchsian groups. Komori-Yamashita proved that there exist non-standard components if the length is sufficiently large. In this talk, I give another proof based on the theory of complex projective structures. If time permits, I will talk about a refined statement and a generalization to other surfaces.