Abstracts for Higher Differential Geometry Seminar

The goal of this minicourse is to explain how equivariant cohomology can be formulated in terms of differential graded manifolds and Lie algebroids. In Part 2 we will see how the graded de Rham complex of a Lie algebroid gives rise to the Weil and the BRST models of equivariant cohomology. 

Manifolds equipped with a closed non-degenerate form of degree > 2 can be thought of as higher analogs of symplectic manifolds. In this talk, I will describe some work in progress on developing a geometric quantization procedure for such manifolds.