# Jerusalem Mathematics Colloquium

Thursday, 25th February 2010, 4:00 pm

Mathematics Building, Lecture Hall 2

##

Zlil Sela

(Hebrew University)

"Cube complexes and the topology of 3-manifolds (after D. Wise)"

** Abstract: **

In a sequence of papers, D. Wise (together with F. Haglund,
T. Hsu and others) studied a special class of non-positively curved
cube complexes, that they call special cube complexes. These are
required to satisfy some transversality conditions, and as a result
their fundamental groups turned out to have some surprising properties,
e.g. they are linear (over Z), can be embedded in right angled
Artin groups, as well as some strong implications for their profinite
topology.

Recently, Wise has managed to apply these special cube complexes,
to answer affirmatively some long standing questions (conjectures)
in 3-manifold topology.

We intend to explain some of these implications, as well as some
of the basic constructions. No previous knowledge will be assumed,
apart from basic topology.

Light refreshments will be served in the faculty lounge at 3:30.

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