The aim of this lecture is to discuss some advanced topics in general relativity, which are useful to understand the present research activities in the field. A list of possible topics is given below. A basic knowledge of general relativity is required (ideally having followed the lecture on General Relativity). The course is particularly suited for master and PhD students.

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The following topics will be discussed:- Time delay of radar echoes- Geodetic precession- Lense-Thirring effect- Gravitational waves (their detection and applications)- Binary pulsar- Schwarzschild black holes- Kerr solution

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This is the second of a two course series which starts with "General Relativity" and continues in the spring with "Theoretical Cosmology", where the focus will be on applying general relativity to cosmology as well as developing the modern theory of structure formation.

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Many-body quantum physics rests on symmetry considerations that lead to two kinds of particles, fermions and bosons. Formal techniques include Hartree-Fock theory and second-quantization techniques, as well as quantum statistics with ensembles. Few- and many-body systems include atoms, molecules, the Fermi sea, elastic chains, radiation and its interaction with matter, and ideal quantum gases.