2008-02-29
Greg Muller, Cornell University
The Noncommutative Weil Algebra
The Weil algebra is a fundamental tool in computing the equivariant
cohomology of a smooth manifold with a group action. In the presence
of an invariant metric on the group, the Weil algebra can be deformed to a
non-commutative version, whose properties were explored by Alekseev
and Meinrenken. I will outline the construction of this algebra, and
talk about its interesting properties and cohomologies it can be used
to compute.