Geometry and Combinatorics
Speaker: Bruce Fontaine (University of Toronto)
"Invariant spaces and the geometric Satake correspondence"
Time: 14:30
Room: MC 108
Given a simple, simply connected Lie group G, a common object of
study is the space of G invariant tensors in tensor product of G
representations. In the case of a tensor product of minuscule
representations, the graphical calculus of webs developed by Greg Kuperberg
is a natural way to specify invariant tensors. On the other hand, the
geometric Satake correspondence can be used to realize the invariant space
as the top homology of a variety we call the Satake fibre. We will show that
there is a connection between these the two different ways of constructing
the invariant space.
Mathematics Calendar 
Week of April 15, 2012
