Quasi-representations, surface groups and almost-flat bundles

Jose Carrion (Pennsylvania State university)

Tuesday 4th November, 2014 16:00-17:00 Maths 416


We discuss how almost-multiplicative maps ("quasi-representations") of
a group may be used to study associated K-theory groups.  We hope to
cover two topics: first, explicit computations that can be carried out
for fundamental groups of orientable surfaces; and second, a
correspondence between quasi-representations and almost-flat bundles
that allows one to "lift" homomorphisms of the K_0-group of the group
C*-algebra to quasi-representations under suitable hypothesis.  This
is joint work with Marius Dadarlat.

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