Explore the fourth lecture in the Infosys-ICTS Ramanujan Lectures series, focusing on C^0 convex integration for incompressible Euler equations. Delve into a second type of iteration introduced by the speaker and László Székelyhidi Jr., which produces continuous solutions to incompressible Euler equations in a manner similar to Nash's theorem from the previous lecture. Gain insights from renowned mathematician Camillo De Lellis, IBM von Neumann Professor at the Institute for Advanced Study, Princeton, as he shares his expertise in calculus of variations, geometric measure theory, and fluid dynamics. Discover the connections between this advanced mathematical concept and its applications in understanding fluid behavior.