Time: July 29, 2020 — August 14, 2020
Registration Deadline: July 29, 2020
Location: Online
DescriptionThis is a joint mini-workshop series with Morningside Center of Mathematics on p-adic local Langlands. We mainly focus 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.
Speakers
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Date & time |
Speaker |
Content |
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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 improvements/adaptability along the development of these papers.
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7/29 4 - 5:30 pm
|
Liang Xiao |
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.
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7/31 2:30 - 4 pm
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Ruochuan Liu
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Talk 3: Syntomic cohomology I. Following [CDN2, §3] to discuss syntomic cohomology (which is not too much different from usual rigid cohomology)
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7/31 4 - 5:30 pm
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Yichao Tian
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Talk 4: Syntomic cohomology II. Cover [CDN2, §4].
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8/5 2:30 - 4 pm
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Haoran Wang
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Talk 5: Pro-étale cohomology of Drinfeld half-space. Following [CDN2, §5] to compute the pro-étale cohomology of Drinfeld half-space.
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8/5 4 - 5:30 pm
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Aditya Karnataki
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Talk 6: Étale cohomology of Drinfeld half-space. Following [CDN2, §6,7] to compute the étale cohomology of Drinfeld half-space.
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8/7 2:30 - 4 pm
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Longke Tang
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Talk 7: Quick summary of Ainf-cohomology of Bhatt-Morrow-Scholze. Cover [CDN3, §2,3]; give an introduction to Ainf-cohomology.
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8/7 4 - 5:30 pm
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Hui Gao |
Talk 8: Ainf-cohomology of Drinfeld symmetric spaces. Cover [CDN3, §4,5].
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8/12 2:30 - 4 pm
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Yiwen Ding
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Talk 9: Representation theoretic background for generalized Steinberg representations. Cover [CDHN, §2].
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8/12 4 - 5:30 pm
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Xu Shen |
Talk 10: p-adic period domains. Cover [CDHN, §3,4].
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8/14 2:30 - 4 pm
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Liang Xiao
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Talk 11: Geometry of the complements of period domains. Cover [CDHN, §5 and Appendix].
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8/14 4 - 5:30 pm
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Gabriel Dospinescu
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Talk 12: Main results on the p-adic étale cohomology of period domains. Cover [CDHN, §6].
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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 étale cohomology of period domains, arXiv:2001.06809.
7/29
ID: 466 356 2952
Pswd: mcm0729
7/31
ID: 466 356 2952
Pswd: mcm0731
8/5
ID: 466 356 2952
Pswd: mcm0805
8/7
ID: 466 356 2952
Pswd: mcm0807
8/12
ID: 466 356 2952
Pswd: mcm0812
8/14
ID: 466 356 2952
Pswd: mcm0814
Organizers