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in memory of

Prof. Alexander Zabrodsky

**
Topology vs. Geometry:
Volumes of Hyperbolic 3-Manifolds**

Prof. *David Gabai* (Princeton)

Thursday, Dec. 25th, 2008 at 4:00 pm in Mathematics Building , Lecture Hall 2

A gathering in memory of Prof. Alexander Zabrodsky will precede the lecture at 15:30.

Along the way we discuss a number of beautiful and simple ideas needed to understand the topology and geometry of low dimensional manifolds.

Alexander Zabrodsky / The Mathematics Genealogy Project

Prof. David Gabai will give two more talks:

Monday, Dec. 29, 2 PM - (probably) Mathematics, room 110.

Tuesday, Dec. 30, 1 PM - Mathematics, lecture hall 2.

**Abstract:** Laminations (i.e. foliations of closed subspaces) of
surfaces play a central role in Thurston's theory of surfaces as well
as in the theory of hyperbolic 3-manifolds. For example, the closure
of the space of simple closed curves on a surface is the space of
projective measured laminations. We show that if the hyperbolic
surface S is not the 3 or 4 holed sphere or one holed torus, then the
space of ending laminations (i.e. those with each leaf dense and
"fill up" S) is connected, locally path connected and cyclic.

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