Text only print
Full screen print
Tuesday Seminar on Topology
Seminar information archive ～12/03｜Next seminar｜Future seminars 12/04～
| Date, time & place | Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | HABIRO Kazuo, KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya |
2025/12/16
17:00-18:00 Online
Pre-registration required. See our seminar webpage.
Tomoshige Yukita (Ashikaga University)
Continuity and minimality of growth rates of Coxeter systems (JAPANESE)
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
Pre-registration required. See our seminar webpage.
Tomoshige Yukita (Ashikaga University)
Continuity and minimality of growth rates of Coxeter systems (JAPANESE)
[ Abstract ]
A pair (G, S) consisting of a group G and an ordered finite generating set S is called a marked group. On the set of all marked groups, one can define a distance that measures how similar the neighborhoods of the identity element in their Cayley graphs are. This space is called the space of marked groups. For a marked group, the function that counts the number of elements whose word length with respect to S is k is called the growth function, and the quantity describing its rate of divergence is called the growth rate. In this talk, we will discuss the continuity of the growth rate for marked Coxeter systems, and the problem of determining the minimal growth rate among Coxeter systems that are lattices in the isometry group of hyperbolic space.
[ Reference URL ]A pair (G, S) consisting of a group G and an ordered finite generating set S is called a marked group. On the set of all marked groups, one can define a distance that measures how similar the neighborhoods of the identity element in their Cayley graphs are. This space is called the space of marked groups. For a marked group, the function that counts the number of elements whose word length with respect to S is k is called the growth function, and the quantity describing its rate of divergence is called the growth rate. In this talk, we will discuss the continuity of the growth rate for marked Coxeter systems, and the problem of determining the minimal growth rate among Coxeter systems that are lattices in the isometry group of hyperbolic space.
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
