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トポロジー火曜セミナー
過去の記録 ～06/26｜次回の予定｜今後の予定 06/27～
| 開催情報 | 火曜日 17:00～18:30 数理科学研究科棟(駒場) 056号室 |
|---|---|
| 担当者 | 河澄 響矢, 北山 貴裕, 逆井卓也, 葉廣和夫 |
| セミナーURL | https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index.html |
2018年01月23日(火)
18:00-19:00 数理科学研究科棟(駒場) 056号室
田中 淳波 氏 (東京大学大学院数理科学研究科)
Wrapping projections and decompositions of Keinian groups (JAPANESE)
田中 淳波 氏 (東京大学大学院数理科学研究科)
Wrapping projections and decompositions of Keinian groups (JAPANESE)
[ 講演概要 ]
Let S be a closed surface of genus g ¥geq 2. The deformation space AH(S) consists of (conjugacy classes of) discrete faithful representations \rho:\pi_{1}(S) \to PSL_{2}(\mathbb{C}).
McMullen, and Bromberg and Holt showed that AH(S) can self-bump, that is, the interior of AH(S) has the self-intersecting closure.
Both of them demonstrated the existence of self-bumping under the exisetence of a non-trivial wrapping projections from an algebraic limits to a geometric limits which wraps an annulus cusp into a torus cusp.
In this talk, given a representation \rho at the boundary of AH(S), we characterize a wrapping projection to a geometric limit associated to \rho, by the information of the actions of decomposed Kleinian groups of the image of \rho.
Let S be a closed surface of genus g ¥geq 2. The deformation space AH(S) consists of (conjugacy classes of) discrete faithful representations \rho:\pi_{1}(S) \to PSL_{2}(\mathbb{C}).
McMullen, and Bromberg and Holt showed that AH(S) can self-bump, that is, the interior of AH(S) has the self-intersecting closure.
Both of them demonstrated the existence of self-bumping under the exisetence of a non-trivial wrapping projections from an algebraic limits to a geometric limits which wraps an annulus cusp into a torus cusp.
In this talk, given a representation \rho at the boundary of AH(S), we characterize a wrapping projection to a geometric limit associated to \rho, by the information of the actions of decomposed Kleinian groups of the image of \rho.
