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Tuesday Seminar on Topology
Seminar information archive ～10/11｜Next seminar｜Future seminars 10/12～
| Date, time & place | Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya |
2012/10/09
16:30-18:00 Room #056 (Graduate School of Math. Sci. Bldg.)
Michihiko Fujii (Kyoto University)
The growth series of pure Artin groups of dihedral type (JAPANESE)
Michihiko Fujii (Kyoto University)
The growth series of pure Artin groups of dihedral type (JAPANESE)
[ Abstract ]
In this talk, I consider the kernel of the natural projection from
the Artin group of dihedral type to the corresponding Coxeter group,
that we call a pure Artin group of dihedral type,
and present rational function expressions for both the spherical and
geodesic growth series
of the pure Artin group of dihedral type with respect to a natural
generating set.
Also, I show that their growth rates are Pisot numbers.
This talk is partially based on a joint work with Takao Satoh.
In this talk, I consider the kernel of the natural projection from
the Artin group of dihedral type to the corresponding Coxeter group,
that we call a pure Artin group of dihedral type,
and present rational function expressions for both the spherical and
geodesic growth series
of the pure Artin group of dihedral type with respect to a natural
generating set.
Also, I show that their growth rates are Pisot numbers.
This talk is partially based on a joint work with Takao Satoh.
