Continuing Seminar on BMS2 and surrounding topics (Summer 2020)
Time: Friday 14:30--16:00
This is a continuation of our previous seminar on integral p-adic Hodge theory.
Please email me if you would like to join the mailing list for this seminar.
This seminar is succeeded by a seminar on a universal HKR theorem.
- Bhargav Bhatt, Matthew Morrow, and Peter Scholze, Topological Hochschild homology and integral p–adic Hodge theory, Publ. Math. Inst. Hautes Études Sci.129(2019),199–310. MR 3949030, arXiv.
- Bhargav Bhatt and Peter Scholze, Prisms and prismatic cohomology
- Thomas Nikolaus and Peter Scholze, On topological cyclic homology, Acta Math.221(2018), no. 2, 203–409. MR 3904731, arXiv.
- Lars Hesselholt and Thomas Nikolaus, Topological cyclic homology, 2019, Chapter in Handbook of Homotopy Theory.
- Arbeitsgemeinschaft: Topological Cyclic Homology, Oberwolfach Rep.15(2018), no. 2,805–940, Abstracts from the working session held April 1–7, 2018, Organized by Lars Hesselholt and Peter Scholze. MR 3941522.
- Matthew Morrow, Topological Hochschild homology in arithmetic geometry, Morrow's notes from Arizona Winter School in 2019.
- Benjamin Antieau, Akhil Mathew, Matthew Morrow, and Thomas Nikolaus, On the Beilinson fiber square
- More to be added...
We'll first learn the cyclotomic structure of THH from various sections of [NS18]. Then we shall finish learning the chapters 6 and 7 of [BMS19] (leaving K-theory untouched).
After that, assuming there are remaining momentum, we can start learning a relevant topic, for instance, chapters 8-11 of [BMS19] (think of as 4 topics, inter-related of course), relation to prismatic cohomology, or [AMMN20, Sections 5-6] (please feel free to email me suggesting topics).
||Frobenius on THH and Organization
||[NS18, §I.4, III.1]
||More on THH, characteristic p
||Even more on THH, p-adic
||p-adic Nygaard complexes, I
||p-adic Nygaard complexes, II
||Relative THH and Breuil--Kisin modules
||Introduction to prismatic cohomology
||Comparing with prismatic cohomology
Last updated: May 8th, 2020.
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