For more details on what each lecture will cover with references see here .
Here are some references which may be relevant for this year's seminar:
(BV) Stably uniform affinoids are sheafy, by Buzzard-Verberkmoes
(F) Perfectoides, presque purete et monodromie-poids, by Fontaine
(GR) Almost ring theory, Springer LNM 1800, by Gabber--Ramero
(H0) Bewertungsspektrum und rigide Geometrie, by Huber
(H1) Continuous valuations, by Huber
(H2) A generalization of formal schemes and rigid-analytic varieties, by Huber
(H3) Etale cohomology of rigid-analytic varieties and adic spaces, by Huber
(P) Maximally complete fields, by Poonen
(S1) Perfectoid spaces, by Scholze
(S2) Perfectoid spaces: a survey, by Scholze
(S3) p-adic Hodge theory for rigid-analytic varieties, by Scholze
(W) Adic spaces, by Wedhorn (unpublished notes)
Fall quarter | ||||
1 | Sept. 26 | Conrad | Motivation for adic spaces | |
2 | Oct. 3 | Conrad | Spaces of valuations | |
3 | Oct. 10 | Conrad | Spectral spaces and constructible sets | |
4 | Oct. 17 | Conrad | Specialization constructions | |
5 | Oct. 24 | Conrad | Huber rings and continuous valuations | |
6 | Oct. 31 | Conrad | More constructions with Huber rings | |
7 | Nov. 7 | Conrad | Rational domains, Tate rings, and analytic points. | |
8 | Nov. 14 | Conrad | More properties for Cont(A) | |
9 | Nov. 21 | Conrad | Spectrality of Cont(A) | |
10 | Dec. 5 | Conrad | Affinoid adic spaces I | |
11 | Dec. 12 | Conrad | Affinoid adic spaces II | |
Winter quarter | ||||
12 | Jan. 5 | Conrad | Structure presheaves and rational domains | |
13 | Jan. 12 | Evan | Uniformity and sheaf properties | |
14 | Jan. 19 | Conrad | Basic generalities on adic spaces | |
15 | Jan. 26 | Conrad | Points and lft morphisms | |
16 | Feb. 2 | Conrad | Rigid geometry and perfectoid rings | |
17 | Feb. 9 | Conrad | The tilting functor | |
Spring quarter | ||||
18 | April 8-May 11 | Masullo | Foundations of perfectoid geometry, I (being edited) | |
19 | May 18-June 1 | Masullo | Foundations of perfectoid geometry, II |