From Einstein's suggestion in 1916 about the necessity of quantum theory of gravity, this has been arguably among the most convoluted open problems in fundamental physics. Although the topic can be faced from different angles, this course will emphasize black hole physics as an interesting infrared window into the mysterious ultraviolet properties of general relativity. We will review basic aspects of these objects and their thermodynamics and treat to formulate the information problem in modern terms by making use of quantum information theory tools. The problem in the context of AdS/CFT will also be studied and, time permitting, we will take a look at recent relevant results on the field.
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