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Geometry Colloquium
Seminar information archive ～04/22｜Next seminar｜Future seminars 04/23～
| Date, time & place | Friday 10:00 - 11:30 126Room #126 (Graduate School of Math. Sci. Bldg.) |
|---|
2013/06/27
10:00-11:30 Room #122 (Graduate School of Math. Sci. Bldg.)
MASAI, Hidetoshi (Tokyo Institute of Technology)
On volume formulae in terms of orthospectrum (JAPANESE)
MASAI, Hidetoshi (Tokyo Institute of Technology)
On volume formulae in terms of orthospectrum (JAPANESE)
[ Abstract ]
Bridgeman-Kahn and Calegari derived formulae to compute the volumes of compact hyperbolic n-manifolds with totally geodesic boundary in terms of orthospectrum. Here the orthospectrum is the set of length of geodesics perpendicular to the boundary at both ends. The two formulae are obtained by apparently different methods. In this talk, we prove that the two volume formulae coincide. We also discuss some interesting relationship between two formulae. This work is a joint work with Greg McShane.
Bridgeman-Kahn and Calegari derived formulae to compute the volumes of compact hyperbolic n-manifolds with totally geodesic boundary in terms of orthospectrum. Here the orthospectrum is the set of length of geodesics perpendicular to the boundary at both ends. The two formulae are obtained by apparently different methods. In this talk, we prove that the two volume formulae coincide. We also discuss some interesting relationship between two formulae. This work is a joint work with Greg McShane.
