Departmental Colloquium
Daniel Groves
UIC
Homomorphisms between groups and applications to surface bundles
Abstract: There are many reasons to study sets of the form Hom(H,G), where H and
G are groups. We'll focus on the situation where G is a fixed group
of interest, and H is allowed to be arbitrary (say finitely
generated). I'll discussion the motivation for studying these sets,
and the focus on the case where G = Mod(S), the mapping class group of
a surface S. In this case, one motivation comes from understanding
surface bundles. This will be explained, and then a structure theory
for Hom(H,Mod(S)) will be hinted at.
Friday February 11, 2011 at 3:00 PM in SEO 636