幾何コロキウム

過去の記録 ~02/06次回の予定今後の予定 02/07~

開催情報 金曜日 10:00~11:30 数理科学研究科棟(駒場) 126号室
担当者 植田一石,金井雅彦,二木昭人
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2014年12月19日(金)

10:00-11:30   数理科学研究科棟(駒場) 126号室
蒲谷祐一 氏 (京都大学)
Exotic components in linear slices of quasi-Fuchsian groups
[ 講演概要 ]
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.