Microlocal Analysis on manifolds with fibered boundaries Boris Vertman (Oldenburg) Abstract: We discuss spectral geometric questions on on some non-compact manifolds with fibered boundaries. Main examples include non-compact complete hyper-Kaehler 4-manifolds and scattering spaces. We discuss how such spaces naturally arise in the analysis of analytic torsion under degeneration of a smooth compact manifold to a space with conical singularities. This is a recent project with Joergen Olsen Lye.