Online mini-workshop series on the geometric realization 
of p-adic local Langlands


Organizers: Yiwen Ding, Yongquan Hu, and Liang Xiao

 

This mini-workshop series on p-adic local Langlands mainly focuses on the series works of Colmez{Dospenescu{Niziol on the étale cohomology of Drinfeld towers and p-adic period domains. This has deep relation to the p-adic local Langlands correspondence. 

We meet twice a week for two 90-minutes lectures each day.



Workshop Schedule:


Dates & time

Speaker

Content

ZOOM

7/29

2:30-4 pm

Liang Xiao

Talk 1: Summarize the main results.

Summarize the main results of Colmez-Dospinescu-Niziol's series of papers [CDN1, CDN2, CDN3, CDHN]. Discuss the main techniques involved in each of the paper and improve- ments/adaptability along the development of these papers.

ID:466 356 2952

Password:mcm0729

7/29

4-5:30 pm

Liang Xiao

Talk 2: Summarize [CDN1]. Since we have already learned

studied this paper before, we give a quick summary of the content as well as the proof of involved in this paper.

7/31

2:30-4 pm

Ruochuan Liu

Talk 3: Syntomic cohomology I. Following [CDN2, §3] to discuss syntomic cohomology (which is not too much dierent from usual rigid cohomology)

ID:466 356 2952

Password:mcm0731

7/31

4-5:30 pm

Yichao Tian

Talk 4: Syntomic cohomology II. Cover [CDN2, §4].

8/5

2:30-4 pm

Haoran Wang

Talk 5: Pro-étale cohomology of Drinfeld half-space. Following [CDN2, §5] to compute the pro-étale cohomology of Drinfeld half-space.

ID:466 356 2952

Password:mcm0805

8/5

4-5:30 pm

Aditya Karnataki

Talk 6:étale cohomology of Drinfeld half-space. Following [CDN2, §6,7] to compute the étale cohomology of Drin-feld half-space.

8/7

2:30-4 pm

Longke Tang

Talk 7: Quick summary of Ainf-cohomology of Bhatt-Morrow-Scholze Cover [CDN3, §2,3], give an introduction to Ainf-cohomology.

ID:466 356 2952

Password:mcm0807

8/7

4-5:30 pm

Hui Gao

Talk 8: Ainf-cohomology of Drinfeld symmetric spaces. Cover [CDN3, §4,5].

8/12

2:30-4 pm

Yiwen Ding

Talk 9: Representation theoretic background for generalized Steinberg representations Cover [CDHN, §2]

ID:466 356 2952

Password:mcm0812

8/12

4-5:30 pm

Xu Shen

Talk 10: p-adic period domains. Cover [CDHN, §3,4].

8/14

2:30-4 pm

Liang Xiao

Talk 11: Geometry of the complements of period domains Cover [CDHN, §5 and Appendix]

ID:466 356 2952

Password:mcm0814

8/14

4-5:30 pm

Gabriel Dospinescu

Talk 12: Main results on the p-adic étale cohomology of period domains. Cover [CDHN, §6].



References:


[CDN1] P. Colmez, G. Dospinescu, and W. Niziol, Cohomologie p-adique de la tour de Drinfeld: le cas de la dimension 1, J. AMS 33 (2020), 311|362.

[CDN2] P. Colmez, G. Dospinescu, and W. Niziol, Cohomology of p-adic Stein spaces, Invent. Math. 219 (2020), 873|985.

[CDN3] P. Colmez, G. Dospinescu, and W. Niziol, Integral p-adic étale cohomology of Drinfeld symmetric spaces, arXiv:1905.11495.

[CDHN] P. Colmez, G. Dospinescu, J. Hauseux, and W. Niziol, p-adic etale cohomology of period domains, arXiv:2001.06809.


Workshop-2020-summer.pdf

 

 

Video:


0729-1-LiangXiao.rar   0729-2-LiangXiao.rar


 

 

 

 

 

 

相关附件
相关文档