The Geometric Langlands Conjecture and Non-Abelian Hodge Theory - Lecture 1

The Geometric Langlands Conjecture and Non-Abelian Hodge Theory - Lecture 1

International Centre for Theoretical Sciences via YouTube Direct link

The Geometric Langlands conjecture and non-abelian Hodge theory Lecture 1

2 of 19

2 of 19

The Geometric Langlands conjecture and non-abelian Hodge theory Lecture 1

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Classroom Contents

The Geometric Langlands Conjecture and Non-Abelian Hodge Theory - Lecture 1

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  1. 1 Quantum Fields, Geometry and Representation Theory
  2. 2 The Geometric Langlands conjecture and non-abelian Hodge theory Lecture 1
  3. 3 Langlands program
  4. 4 GLC
  5. 5 Surfaces
  6. 6 G any group: G local system on x
  7. 7 Abelian GLC
  8. 8 Proof
  9. 9 Proof 2
  10. 10 Reformulation
  11. 11 GLC - Correspondence
  12. 12 Heck correspondence
  13. 13 GLC - One Version Generated language
  14. 14 Other versions
  15. 15 Randified abelian GLC
  16. 16 Compactified
  17. 17 Conjecture
  18. 18 Next class
  19. 19 Q&A

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