Delve into the second lecture of a graduate-level course on the Riemannian Curvature Dimension condition, presented by Professor Nicola Gigli from SISSA Trieste. Explore advanced mathematical concepts in this 1 hour and 38 minute session, which took place on Monday, September 12, 2022, as part of the Fields Institute's program. Gain insights into non-smooth geometry and dimension theory, building upon the foundations laid in the first lecture. Engage with cutting-edge research in this specialized area of mathematics, designed for graduate students and researchers seeking to deepen their understanding of geometric analysis and its applications.