# Jerusalem Mathematics Colloquium

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Thursday, 1st November 2001, 4:00 pm

Mathematics Building, Lecture Hall 2

##

Peter Scott

(Hebrew University/University of Michigan)

"Canonical decompositions of groups and manifolds"

** Abstract: **
In dimension 3, there is a famous theorem due to Jaco and Shalen and to
Johannson asserting the existence and uniqueness of a very special
decomposition for any compact 3-manifold. This is described by cutting
along a finite family of disjoint embedded annuli and tori.
The object of this talk is to describe joint work with Gadde Swarup of
the University of Melbourne in which we show that there is an analogous
(but far more general) result for decompositions of arbitrary finitely
presented groups. In the special case when one applies our decomposition
to the fundamental group of a 3-manifold, our algebraic decomposition is
precisely equivalent to the classical topological one.

Coffee, Cookies at the faculty lounge at 3:30.

You are invited to join the speaker for further discussion after the
talk at Beit Belgia.

List of talks, 2001-02

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