Speaker
Dr
Polyxeni Spilioti
(Universität Göttingen)
Description
In this talk we will present some results concerning the Fried's conjecture, i.e., the relation of the twisted dynamical zeta function of Ruelle at zero and spectral invariants for a hyperbolic manifold X. In particular, we consider the twisted Ruelle zeta function twisted by an arbitrary representation of the lattice. We study then its relation to the Ray-Singer norm of the refined analytic torsion. The refined analytic torsion is an element of the determinant line of the cohomology of X with coefficients in the flat complex vector bundle associated with the representation.
Primary author
Dr
Polyxeni Spilioti
(Universität Göttingen)
