Organisers: Giovanni Rosso and Ju-Feng Wu
Time: First series of talks at 9:00; second and third series of talks at 14:00.
The seminar consists of three parts:
Ting-Han will give the first series of talks. There will be 8 talks in this part and the talks will focus on three papers by A. Besser ([Bes00a; Bes00b; Bes00c]).
Ju-Feng will give the second series of talks. There will be 6 talks and the talks attempt to understand the paper by P. Colmez, G. Dospinescu and W. Nizioł ([CDN20]) as well as some related topics ([Lur09a; Lur09b; Gle20; Vez18]).
Martí will give a talk about L-invariants and Hyodo--Kato cohomology by following the paper by A. Besser and E. de Shalit ([BdS16]).
First series of talks:
Talk 1.1 (25. May.): Syntomic regulators and p-adic integration
Talk 1.2 (01. Jun.): Syntomic regulators and p-adic integration, Cont'd
Talk 1.3 (08. Jun.): Syntomic regulators and p-adic integration, Cont'd
(15. Jun) [No seminar]
Talk 1.4 (22. Jun.): Coleman integral and finite polynomial cohomology
Talk 1.5 (29. Jun.): Coleman integral and finite polynomial cohomology, Cont'd
Talk 1.6 (06. Jul.): Coleman integral and finite polynomial cohomology, Cont'd
Second and third series of talks:
Talk 2.1 (27. May.): A crash course on derived ∞-categories
Talk 2.2 (03. Jun.): Specialisation maps and dagger spaces in modern fancy languages
Talk 2.3 (10. Jun.) [start at 14:30]: Overconvergent Hyodo–Kato cohomology
Talk 2.4 (17. Jun.): Overconvergent syntomic cohomology
(24. Jun.): [No seminar]
Talk 2.5 (30. Jun., Wed.): Crystalline syntomic cohomology
Talk 2.6 (08. Jul.): The fundamental diagram
Talk 3.1 (14. Jul., Wed.): L-invariants of p-adically uniformised varieties
Notes
The seminar notes are here.
References
[BdS16] Amnon Besser and Eude de Shalit. L-invariants of p-adically uniformized varieties. Annales mathématiques du Québec 40 (2016)
[Bes00a] Amnon Besser. Syntomic regulators and p-adic integration I, Rigid syntomic regulators. Israel Journal of Mathematics 120 (2000)
[Bes00b] Amnon Besser. Syntomic regulators and p-adic integration II, K_2 of curves. Israel Journal of Mathematics 120 (2000)
[Bes00c] Amnon Besser. A generalization of Coleman’s p-adic integration theory. Inventiones mathematicae 142 (2000)
[CDN20] Pierre Colmez, Gabriel Dospinescu, and Wiesława Nizioł. Cohomology of p-adic Stein spaces. Inventiones mathematicae 219 (2020)
[Gle20] Ian Gleason. Specialization maps for Scholze's category of diamonds. Preprint. Available at: https://arxiv.org/abs/2012.05483. 2020
[Lur09a] Jacob Lurie. Derived Algebraic Geometry I: Stable ∞-Categories. Preprint. Available at: http://people.math.harvard.edu/~lurie/papers/DAG-I.pdf. 2009.
[Lur09b] Jacob Lurie. Higher Topos Theory. Annals of Mathematics Studies 170, Princeton University Press, 2009.
[Vez18] Alberto Vezzani. The Monsky--Washnitzer and the overconvergent realizations. International Mathematics Research Notices 11 (2018)