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.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/3946