VIRTUAL (Zoom): Asymptotic of twisted Alexander polynomials and hyperbolic volume

Given a hyperbolic 3-manifold of finite volume M, we compute the asymptotic of the family of twisted Alexander polynomials on the unit circle. We prove that this family growth asymptotically as the volume times the square of the dimension of the representation. The proof goes through the study of the analytic torsion of some compact hyperbolic manifolds obtained by Dehn surgery on M. Joint work with J. Dubois, M. Heusener and J. Porti.