Ramification of Supercuspidal Parameters

Ramification of Supercuspidal Parameters

Fields Institute via YouTube Direct link

Outline

2 of 22

2 of 22

Outline

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Ramification of Supercuspidal Parameters

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  1. 1 Intro
  2. 2 Outline
  3. 3 No the series
  4. 4 What is the local Langlands conjecture?
  5. 5 First version of LLC
  6. 6 Automorphic conditions
  7. 7 Fargues-Scholze
  8. 8 Kaletha's parametrization
  9. 9 The Deligne-Kazhdan correspondence
  10. 10 An exercise
  11. 11 Review of V. Lafforgue's global results
  12. 12 Weights
  13. 13 What about supercuspidals?
  14. 14 Incorrigible representations
  15. 15 Globalization
  16. 16 Application of purity
  17. 17 Poincaré series
  18. 18 Wild ramification
  19. 19 Mixed supercuspidals
  20. 20 Assuming multiplicity one and stable basse change
  21. 21 An inductive proof
  22. 22 Application of potential automorphy

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