Bivariant intersection theory for stacks and weak Alexander schemes

Two weeks ago, we had a talk on Chow groups of stacks. Last week, we had a talk on bivariant intersection theory on schemes, i.e. operational Chow groups and Chow rings. This week, we will combine these two techniques to talk about bivariant intersection theory on stacks, where everything behaves much the same way, with a few subtleties. We will also compare the rational (bivariant) intersection theory on a stack with that of a moduli space. I will give many examples, to hopefully help develop some intuition about all these things.