IAS 走近几何朗兰兹纲领猜想的证明 (IAS, Towards the proof of the geometric Langlands)
https://sites.google.com/site/geometriclanglands2014/
封面：https://www.instagram.com/p/BzKjilNFilv/
目录：https://github.com/wenhan-wu/OpenCourseCatalog
链接：https://sites.google.com/site/geometriclanglands2014/
视频选集
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01. Tutorial on infinity-categories (S. Raskin)
53:24
02. Lecture 1.1- Road Map (D. Gaitsgory)
01:04:52
03. Lecture 1.2- D-modules and quasi-coherent sheaves on prestacks (N. Rozenblyu
01:04:02
05. Lecture 1.3- Singular Support - I (D. Arinkin)
01:03:25
06. Tutorial on singular support
36:27
07. Discussion and Q&A
36:38
08. Lecture 2.1- Singular Support - II (D. Arinkin)
01:18:33
09. Discussion and Q&A
17:39
10. Lecture 2.2- Factorization - I- factorization spaces and algebras (S. Raskin
01:00:42
11. Tutorial on factorization-IVCxFfORN_U
01:07:35
12. Lecture 2.3- Spaces of rational maps to the flag variety (D. Beraldo)
50:30
13. Tutorial on spaces of rational maps
45:26
14. Discussion and Q&A
36:30
15. Lecture 3.1- Factorization - II -factorization categories (S. Raskin)
54:23
16. Tutorial on factorization
54:21
17. Lecture 3.2- The Hecke action (D. Gaitsgory)
55:20
18. Tutorial on the Hecke action
01:07:36
19. Discussion and Q&A
53:25
20. Lecture 4.1- Factorization - III- local-to-global principle (N. Rozenblyum)
54:26
21. Discussion and Q&A
01:08:53
22. Lecture 4.2- Global Whittaker and principal series categories (D. Beraldo)
51:33
23. Tutorial on Global Whittaker
44:47
24. Lecture 4.3- Kac-Moody representations (D. Gaitsgory)
37:15
26. Lecture 5.1- Langlands duality for local and global Whittaker categories (D.
52:20
27. Discussion and Q&A
37:35
28. Lecture 5.2- Langlands duality for local and global principal series categor
58:02
29. Discussion and Q&A
21:01
30. Lecture 5.3- Langlands duality for the extended Whittaker category- gluing (
01:13:12
31. Lecture 5.4- Localization of Kac-Moody representations (N. Rozenblyum)
19:35
32. Discussion and Q&A
01:02:10
33. Discussion and Q&A
39:58
34. Lecture 6.1- Opers (D. Gaitsgory)
53:24
35. Discussion and Q&A
38:16
36. Lecture 6.2- Fundamental diagram and the proof of the Langlands conjecture (
01:01:16
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