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Annual Lecture Series in Topology and Geometry
in memory of
Prof. Alexander Zabrodsky

The Institute of Mathematics invites you to this year's Annual Lecture Series in Topology and Geometry 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.

Abstract: We outline a proof that the Weeks manifold is the lowest volume closed orientable hyperbolic 3-manifold.
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:

Almost filling laminations and the connectivity of ending lamination space I, II
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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Last updated: Dec. 17th, 2008