Black Holes have advanced to the forefront of current research in various disciplines: besides the obvious ones, general relativity, mathematical physics and astrophysics, also string theory, quantum chromodynamics, cosmology, computational physics, quantum gravity and even part of condensed matter physics devote a signi cant fraction of their resources to the study of Black Holes. It is thus both a fascinating and timely subject to investigate. The main purpose of this lecture is a treatment of advanced topics/current research topics in black hole physics.

• Global structure of black holes: horizons and singularities
• Dimensionally reduced black holes I: 2D gravity
• Action principle and asymptotic boundaries
• Dimensionally reduced black holes II: 3D gravity
• Asymptotically Anti-de Sitter (AdS) spacetimes
• BTZ black holes
• Brown-Henneaux boundary conditions
• Asymptotic symmetry algebras/Virasoro algebra
• Holographic renormalization & Brown-York stress tensor
• Black holes in AdS space & Hawking-Page transition
• Gedankenexperiments and black hole thermodynamics
• Hawking effect, black hole evaporation and information paradox
• Quantum gravity
• ... and possibly further selected recent research topics

the lecture Black Holes I is a necessary pre-requisite (or, equivalently, good knowledge in General Relativity/basics of black hole physics)