Representations of P-Adic Groups - Jessica Fintzen

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.

Intro
What is padic representation
Two big questions
Representations
Myprasad filtration
Upper triangular matrices
More about padic groups
Route groups
Depth
Vectors
Stable vectors