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Seminar on Geometric Complex Analysis
Seminar information archive ～05/20｜Next seminar｜Future seminars 05/21～
| Date, time & place | Monday 10:30 - 12:00 126Room #126 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Kengo Hirachi, Shigeharu Takayama |
2026/06/01
10:30-12:00 Room #126 (Graduate School of Math. Sci. Bldg.)
Yohei Komori (Waseda Univ.)
Classification of arithmetic twice-punctured torus groups (Japanese)
https://forms.gle/8ERsVDLuKHwbVzm57
Yohei Komori (Waseda Univ.)
Classification of arithmetic twice-punctured torus groups (Japanese)
[ Abstract ]
A Fuchsian group is called arithmetic if it is commensurable with a Fuchsian group derived from a quaternion algebra. In this talk we will determine arithmetic twice-punctured torus groups; arithmetic once-punctured torus groups were already classified by Kisao Takeuchi. Our strategy is based on Takeuchi's approach to classify quadrilateral subgroups of the modular group. (“Subgroups of the modular group with signature (0 ; e1, e2, e3, e4)”（Saitama Math. Jour. Vol.14, 55—78, 1996).)
[ Reference URL ]A Fuchsian group is called arithmetic if it is commensurable with a Fuchsian group derived from a quaternion algebra. In this talk we will determine arithmetic twice-punctured torus groups; arithmetic once-punctured torus groups were already classified by Kisao Takeuchi. Our strategy is based on Takeuchi's approach to classify quadrilateral subgroups of the modular group. (“Subgroups of the modular group with signature (0 ; e1, e2, e3, e4)”（Saitama Math. Jour. Vol.14, 55—78, 1996).)
https://forms.gle/8ERsVDLuKHwbVzm57
