Explore the intricacies of p-adic group representations in this 58-minute seminar presented by Jessica Fintzen from the University of Michigan at the Institute for Advanced Study. Delve into the fundamental concepts of p-adic representations, addressing two major questions in the field. Examine the Moy-Prasad filtration, upper triangular matrices, and the nuances of p-adic groups. Investigate route groups, depth, vectors, and stable vectors to gain a comprehensive understanding of this mathematical topic. Enhance your knowledge of advanced algebraic concepts and their applications in number theory and representation theory.