Workshop: geometry of Shimura varieties and arithmetic applications
Time: August 15 - August 19, 2022
Venue: Room 77201, Jingchunyuan 78, BICMR
Organizers: Miaofen Chen, Yifeng Liu, Sian Nie, Xu Shen, and Liang Xiao
This workshop is supported by Tianyuan Research Grant of Chinese NSF. We focus on recent developments in the area of geometry of Shimura varieties and arithmetic applications. In the morning, we organize research talks. In the afternoon sessions, we encourage ample discussion among the participants by providing several research problems for discussion.
Schedule
|
Date |
Time |
Speaker |
Content |
|
Aug 15 |
9:00–10:30am |
Liang Xiao |
Arithmetic application of geometry of Shimura varieties: level raising paradigm |
|
10:45–12:15pm |
Yifeng Liu |
Cycles and arithmetic. |
|
|
1:30–2:30pm |
Organizers |
Introduction to the research problems |
|
|
3:00–5:00pm |
Group discussion on research problems |
||
|
Aug 16 |
9:00–10:30am |
Chao Zhang |
Integral models and stratifications of Shimura varieties I |
|
10:45–12:15pm |
Xu Shen |
Integral models and stratifications of Shimura varieties II |
|
|
1:30–5:00pm |
Group discussion on research problems |
||
|
Aug 17 |
9:00–10:15am |
Jingren Chi |
Harmonic analysis in bad reduction of Shimura varieties |
|
10:45–12:00pm |
Sian Nie |
Irreducible components of Affine Deligne–Lusztig varieties |
|
|
1:30–5:00pm |
Group discussion on research problems |
||
|
Aug 18 |
9:00–10:15am |
Haining Wang |
Arithmetic level raising for GSp4 |
|
10:45–12:00pm |
Ruiqi Bai |
Special fibers of unitary Shimura varieties with maximal parahoric level |
|
|
1:30–3:00pm |
Participants |
Initial report on project progress |
|
|
3:00–5:00pm |
Group discussion on research problems |
||
|
Aug 19 |
9:00–10:15am |
Marc Besson |
Singularities of twisted affine Schubert varieties |
|
10:45–12:00pm |
Zhihao Zhao |
Splitting local model for triality groups |
|
|
1:30–3:00pm |
Group discussion on research problems |
||
|
3:00–5:00pm |
Participants |
Report on project progress |
|
