Outline

Setup: rep theory
- What is a p-adic group?
- What are adeles?
- What is an algebraic group?
- What is a local/global field?
- What is a uniformizer?
- What is the pro-unipotent radical?
- What are Iwahoris and parahorics?
Setup: stacks
- What is a stack?
- What is Bun_g?
- What is level structure?
Setup: modular/automorphic forms
- What is a modular form?
- What is an automorphic form?
What is Langlands?
- What is an automorphic representation?
- What is geometric Langlands?
- What is local Langlands?
What is rigidity?
- What is the rigidty method?
- What is group-theoretic rigidity?
- What is a rigid local system?
- What is a rigid representation?
What is automorphic data?
- What is a character sheaf?
- What is rigid automorphic data?
- What is geometric automorphic data?
How does one check rigidity?
- What does Bun_G look like for \(\SP_{2n}\)?
- What is a relevant point?
- What is the evaluation map?
What are some applications?

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