[Binghamton Geometry/Topology Seminar] (no subject)

[Ross Geoghegan]

                   BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR


   Date: Thursday  September 7, 2006

   Time:  2.50 pm

   Place: Library North 2205 followed by coffee/tea in the Anderson
          Reading Room.

   Speaker: Jean-Francois Lafont (Ohio State)

   Title: A boundary version of Cartan-Hadamard and applications

Abstract: 
The classical Cartan-Hadamard theorem asserts that for a closed Riemannian
manifold of non-positive curvature, the universal cover is always
diffeomorphic to standard Euclidean space.  A consequence of this is
that any two such manifolds, of the same dimension, have diffeomorphic
(and hence homeomorphic) universal covers.  We prove an analogue of
this latter statement for manifolds with boundary: given two closed
negatively curved manifolds  with non-empty, totally geodesic boundary,
their universal covers are homeomorphic provided the manifolds have
the same dimension (except possibly in the 5-dimensional situation).
An application to topological rigidity of negatively curved P-manifolds
will also be discussed.

NOTE:  The seminar has a webpage where the semester's program is listed:

http://math.binghamton.edu/MATH/dept/topsem/index.html

It can also be linked from the Department's Home Page.
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