Speaker
Ms
Sang-Eon Bak
(Arizona State University)
Description
One-loop partition functions encode the leading-order quantum corrections to the gravitational path integral and can be constructed from quasinormal modes. We investigate how exact computations of these quantities can be extended beyond highly symmetric backgrounds. Trace formulas provide a powerful framework connecting spectral data of differential operators to geometric data of the underlying manifold. Using generalized trace formulas, we develop a method to compute one-loop partition functions on broader classes of manifolds. We then classify two geometric types whose properties lead to different spectral structures in the corresponding quasinormal modes and one-loop partition functions.
