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Tuesday Seminar on Topology
Seminar information archive ～10/06｜Next seminar｜Future seminars 10/07～
| Date, time & place | Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya |
2010/12/14
16:30-18:00 Room #056 (Graduate School of Math. Sci. Bldg.)
Kenneth Schackleton (IPMU)
On the coarse geometry of Teichmueller space (ENGLISH)
Kenneth Schackleton (IPMU)
On the coarse geometry of Teichmueller space (ENGLISH)
[ Abstract ]
We discuss the synthetic geometry of the pants graph in
comparison with the Weil-Petersson metric, whose geometry the
pants graph coarsely models following work of Brock’s. We also
restrict our attention to the 5-holed sphere, studying the Gromov
bordification of the pants graph and the dynamics of pseudo-Anosov
mapping classes.
We discuss the synthetic geometry of the pants graph in
comparison with the Weil-Petersson metric, whose geometry the
pants graph coarsely models following work of Brock’s. We also
restrict our attention to the 5-holed sphere, studying the Gromov
bordification of the pants graph and the dynamics of pseudo-Anosov
mapping classes.
