---
date: 2022-04-26 09:43
modification date: Tuesday 26th April 2022 09:43:48
title: "Draft 2 Outline AWS 2022 Talk"
aliases: [Draft 2 Outline AWS 2022 Talk]
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Last modified: `=this.file.mday`

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	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
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# 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?