Twisted dynamical zeta functions and the Fried's conjecture

This is a survey article on the twisted dynamical zeta functions of Ruelle and Selberg and the Fried’s conjecture. It is based on the mini-course: “Twisted Ruelle zeta function, complex-valued analytic torsion and the Fried’s conjecture”, given by the author during the thematic trimester programme: “Representation Theory and Noncommutative Geometry” at the Institut Henri Poincar'{e}.