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Geometry Colloquium
Seminar information archive ～04/19｜Next seminar｜Future seminars 04/20～
| Date, time & place | Friday 10:00 - 11:30 126Room #126 (Graduate School of Math. Sci. Bldg.) |
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2015/06/05
10:00-11:30 Room #126 (Graduate School of Math. Sci. Bldg.)
Yoshihiko Shinomiya (Shizuoka University)
Veech groups of Veech surfaces and periodic points
(日本語)
Yoshihiko Shinomiya (Shizuoka University)
Veech groups of Veech surfaces and periodic points
(日本語)
[ Abstract ]
Flat surfaces are surfaces with singular Euclidean structures. The Veech group of a flat surface is the group consisting of all matrices inducing affine mappings of the flat surface. In this talk, we give relations between some geometrical values of flat surfaces and the signatures of Veech groups as Fuchsian groups. As an application of these relations, we estimate the numbers of periodic points of certain flat surfaces.
Flat surfaces are surfaces with singular Euclidean structures. The Veech group of a flat surface is the group consisting of all matrices inducing affine mappings of the flat surface. In this talk, we give relations between some geometrical values of flat surfaces and the signatures of Veech groups as Fuchsian groups. As an application of these relations, we estimate the numbers of periodic points of certain flat surfaces.
