Workshop on Geometrization of Local Langlands Correspondence
Time: January 2 - January 13, 2023
Venue: Online
Time: Jan 2–13, all talks will be at (A) 1–2:30pm and (B) 3–4:30pm on weekdays (except for the last day)
Format: Tencent Meeting (Room Number: 840-4733-1916; Pascode：2023)
The goal of this workshop is to understand the recent progress by Fargues–Scholze on the geometrization of local Langlands correspondence. The main reference is the long manuscript [FS] by Fargues–Scholze. Hopefully, with enough time for discussion, we may find some applications of the results in the near future.
Schedule
|
Date |
Speaker |
Content |
|
Jan 2 A |
Yichao Tian |
Introduction part I, §I. |
|
Jan 2 B |
Yichao Tian |
Introduction part II, §I. |
|
Jan 3 A |
Jilong Tong |
Fargues–Fontaine curve and vector bundles, §II.1–II.2. |
|
Jan 3 B |
Heng Du |
Fargues–Fontaine curve and vector bundles, §II.3. |
|
Jan 4 A |
Jiahao Niu |
BunG, §III. |
|
Jan 4 B |
Weizhe Zheng |
ULA sheaves, §IV.1–IV.2 |
|
Jan 5 A |
Shanwen Wang |
More geometry of diamonds, §IV.3–IV.4 |
|
Jan 5 B |
TBA |
Hyperbolic localization and Drinfeld’s lemma, §IV.5–IV.7 |
|
Jan 6 A |
Jiahao Niu |
Det(BunG), §V. |
|
Jan 6 B |
Jingren Chi |
BdR-affine Grassmannian, §VI.1–VI.4. |
|
Jan 9 A |
Xu Shen |
Geometric Satake I, §VI.5–VI.8. |
|
Jan 9 B |
Xu Shen |
Geometric Satake II, §VI.9–VI.12. |
|
Jan 10 A |
Yixiao Li |
Solid sheaves, §VII.1–VII.3. |
|
Jan 10 B |
Yixiao Li |
D■(X), §VII.4–VII.7. |
|
Jan 11 A |
Xiangqian Yang |
Stack and coarse moduli of L-parameters, §VIII.1–VIII.3. |
|
Jan 11 B |
Zeyu Wang |
Excursion operators, §VIII.4–VIII.5 |
|
Jan 12 A |
Liang Xiao |
Hecke actions I, §IX. |
|
Jan 12 B |
Liang Xiao |
Hecke actions II, §IX. |
|
Jan 13 10am |
TBA |
The spectral action, §X. |
|
Jan 13 A |
Zhiyou Wu |
Fargues–Scholze and other approaches to local Langlands |
|
Jan 13 B |
Jize Yu |
Mixed characteristic Arkhipov-Bezrukavnikov equivalence. |
References
[FS] Laurent Fargues and Peter Scholze, Geometrization of the local Langlands correspondence, preprint.
