Tuesday Seminar on Topology

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Date, time & place Tuesday 16:00 - 17:30 056Room #056 (Graduate School of Math. Sci. Bldg.)
Organizer(s) IKE Yuichi, KONNO Hokuto, SAKASAI Takuya

2012/07/24

16:30-18:00   Room #056 (Graduate School of Math. Sci. Bldg.)
Greg McShane (Institut Fourier, Grenoble)
Orthospectra and identities (ENGLISH)
[ Abstract ]
The orthospectra of a hyperbolic manifold with geodesic
boundary consists of the lengths of all geodesics perpendicular to the
boundary.
We discuss the properties of the orthospectra, asymptotics, multiplicity
and identities due to Basmajian, Bridgeman and Calegari. We will give
a proof that the identities of Bridgeman and Calegari are the same.