On behalf of the organizers and the faculty participating in the programme, welcome to the GIAN course on the black hole information paradox.
This is expected to be an intensive 2-week course, with lectures, tutorials and discussions. The information paradox, first found by Hawking in 1975, is perhaps the most important issue in fundamental theoretical physics today. The goal of the course is to make the students well versed in this problem, so that they can work in this area, or use its insights in other related areas of physics.
With this goal in mind, it is best if the students work through preparatory material on the problem before they arrive at the course. I will be posting some lecture notes on this website. You are strongly encouraged to work through these notes. I would also encourage you to make a Latex file for yourself, where you type in questions that you have, as well as computations that you perform when preparing for the course. This file will help you in the discussions sections where you will be asked to bring questions/issues to the whole class.
The notes below are incomplete in many ways (since I am in the process of writing them): there are many typos, and some sections are yet to be filled in. But they should be useful to work through nevertheless as a supplement to the lectures.
If you have questions/comments for me before the course you can email me at firstname.lastname@example.org.
Lecture notes 1: Introduction to the paradox
Lecture notes 2: Overview of general relativity
Lecture notes 3: Overview of field theory, derivation of Hawking radiation
Lecture notes 4: The no-hair theorem
Lecture notes 5: An overview of string theory
Lecture notes 6: Finding the entropy of black holes in string theory
Lecture notes 7: Resolving the paradox: the fuzzball construction
Lecture notes 8: The idea of AdS/CFT duality
Lecture notes 9: The small corrections theorem
Lecture notes 10: The breakdown of the semiclassical approximation at the horizon
Lecture notes 11: Infall into black holes: the idea of fuzzball complementarity
Lecture notes 12: The idea of wormholes, and its difficulties
Lecture notes 13: Alternative proposals for resolving the information paradox
Lecture notes 14: The questions in cosmology
Lecture notes 15: Appendices