Explore the intricate world of algebraic geometry in this 56-minute lecture by Cong Xue from the Institut de Mathématiques de Jussieu-Paris Rive Gauche. Delivered as part of the 2021 Fields Medal Symposium honoring Peter Scholze, delve into the complex topic of cohomology of stacks of shtukas. Gain insights into advanced mathematical concepts and their applications in modern algebraic geometry and number theory.