Geometry Colloquium

Seminar information archive ~04/21Next seminarFuture seminars 04/22~

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)
[ 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.