Explore groundbreaking developments in the Langlands program through this illuminating conference talk by Laurent Fargues. Delve into the emergence of novel geometric structures over the past two decades, with a particular focus on Fargues' recent collaborative work with Scholze. Discover the innovative concept of the moduli space of G-bundles on the curve, a pivotal object introduced in their research. Gain insights into the curve Fargues defined and investigated alongside Fontaine. Examine how these new geometric structures are utilized to construct the semi-simple local Langlands correspondence. This hour-long presentation offers a comprehensive overview of cutting-edge advancements in mathematical research, providing valuable insights for those interested in number theory, algebraic geometry, and the Langlands program.