I will review the localisation of 5D supersymmetric Yang-Mills theory on the toric Sasaki-Einstein manifolds. As main examples, the case of sphere and Y^{p,q} spaces will be considered. The large N-limit and factorisation properties of exact partition function will discussed.

I will review the recent developments in topological membrane theory. In particular I will discuss the formulation of topological membrane theory on G2-manifolds and its role in the topological M-theory. The reduction to topological strings will be presented.