Abstract
In this project we are concerned with an extension of the Localization Theorem of Atiyah-Bott and Berline-Vergne for the equivariant cohomology of a Lie 2-group acting on a stack/Lie groupoid. We also study Hamiltonian actions of 2-groups on both 0-shifted and 1-shifted symplectic stacks with the aim of describing their equivariant cohomology. Also, in the 1-shifted case we plan to descri…