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This course covers the application of modern field theory methods for holography, focusing on large N partition functions and black holes. The learning outcomes include understanding the relationship between conformal field theory (CFT) and quantum gravity, exploring consistency conditions inherited from CFT, and delving into topics such as holographic CFTs, supersymmetry in holography, and black holes in finite temperature physics. The course teaches skills in analyzing CFT sum rules, gravitational effective field theory, and S-matrices, as well as exploring symmetry constraints on gravitational path integrals. The teaching method involves lectures and discussions led by experts in the field. The intended audience includes researchers, scientists, and students interested in the intersection of conformal field theory, holography, and quantum gravity.