Abstract: Last time we described the Weil model for circle actions and showed that it is isomorphic to polynomial ring with coefficients in invariant forms. This week, we will prove the Cartan-Weil Isomorphism for general connected Lie groups and determine the Cartan differential. Then we will determine the Cartan model for torus actions. Lastly, we will compute the equivariant cohomology for torus action on a point.

Meeting ID: 997 4840 9440 Passcode: 911104

Abstract: In this talk we will return our attention to matrix integrals and maps. I will review the definition and compare to the Feynman integrals previously discussed.