Explore a doctoral-level lecture on Riemann Surfaces in this 1 hour and 15 minute video from the Instituto de Matemática Pura e Aplicada (IMPA). Delve into advanced mathematical concepts as Professor Paulo Sad presents the 22nd class in the series, covering complex analysis and differential geometry. Gain insights into the theory of Riemann surfaces, their properties, and applications in modern mathematics. Enhance your understanding of this fundamental topic in algebraic geometry and complex analysis through this comprehensive presentation. Note that all rights to the content belong to IMPA, and usage requires prior written authorization except as permitted by current legislation.