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A six-functor formalism for syntomic cohomology of p-adic formal schemes
Kipp, Niklas (2026) A six-functor formalism for syntomic cohomology of p-adic formal schemes. PhD, Universität Regensburg.Date of publication of this fulltext: 15 Jan 2026 12:31
Thesis of the University of Regensburg
DOI to cite this document: 10.5283/epub.78438
Abstract (English)
We construct a six-functor formalism on the category of derived
p-adic formal schemes, which categorifies their syntomic cohomology as
introduced by Bhatt-Morrow-Scholze.
This is done by factoring this six-functor formalism through the
six-functor formalism on analytic stacks in the sense of Clausen-Scholze.
Translation of the abstract (German)
Wir konstruieren einen Sechs-Functor-Formalismus auf der Kategorie der derivierten p-adischen formalen Schemata, der ihre syntomische Kohomologie, im Sinne von Bhatt-Morrow-Scholze, kategorifiziert.
Dieser ist konstruiert indem man ihn durch den Sechs-Functor formalismus
auf analytischen Stacks im Sinne von Clausen-Scholze factorisiert.
Involved Institutions
Details
| Item type | Thesis of the University of Regensburg (PhD) |
| Date | 15 January 2026 |
| Referee | Prof. Dr. Marc Hoyois |
| Date of exam | 1 December 2025 |
| Institutions | Mathematics Mathematics > Prof. Dr. Marc Hoyois |
| Keywords | Six-functor formalism, syntomic cohomology, F-Gauges, |
| Dewey Decimal Classification | 500 Science > 510 Mathematics |
| Status | Published |
| Refereed | Yes, this version has been refereed |
| Created at the University of Regensburg | Yes |
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-784382 |
| Item ID | 78438 |
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