Explore the spectrum of Laplace and Dirac operators on complete manifolds in this 46-minute lecture by Nadine Große from Albert-Ludwigs-Universität Freiburg. Begin with a general introduction to different types of spectra before delving into specific results for manifolds with special behaviors at infinity. Examine the influence of additional potentials on these spectra. Gain insights into this complex area of mathematical physics, suitable for researchers and advanced students in differential geometry and mathematical analysis.