Fall 2023: Introduction to Geometric Langlands Theory
Notes will be slowly updated.
Zoom recordings
Lecture 1: Introduction
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Lecture 2: Geometric Class Field Theory
Lecture 3: Bun_G
Notes for Lec. 3-7 by 戴文晗(WenHan Dai)
daiwh: "Use at own risk."
Lecture 4: Hecke Eigensheaf for GL_n
Lecture 5: Whittaker
Lecture 6: Whittaker II
Lecture 7: Laumon's sheaf
Lecture 8: Laumon's sheaf II
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Lecture 9: Fourier transformation
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Lecture 10: Cleanese
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Lecture 11: Laumon's sheaf III
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Lecture 12: Construction of Aut_E
Notes by 戴文晗(WenHan Dai)
Lecture 13: Vanishing Conjectures
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Lecture 14: Categorical GLC
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Lecture 15: Shv_Nilp(Bun_G)
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Lecture 16: Spectral Decomposition
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Lecture 17: Conservativity of Whittaker coefficients
Notes by 戴文晗(WenHan Dai)
Lecture 18-19: Quantization of Hitchin systems
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Lecture 20: Fundamental local equivalence
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Lecture 21: Proof of the global conjecture
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Lecture 22: Proof of the global conjecture II
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