Black Holes and Holography

This lecture delves into the fascinating world of black holes and holography, exploring the connection between black hole mechanics and statistical mechanics. The instructor discusses the entropy of black holes, the Bekenstein-Hawking formula, and the statistical behavior of black holes. The lecture also covers the concept of holography, where the volume of space in quantum gravity is described in terms of boundary degrees of freedom. Various examples of black holes in different dimensions are analyzed, along with the computation of their entropy using super conformal indices and matrix integrals. The discussion extends to the one over N corrections and the matching of theoretical predictions with observational data.