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Prismatic and syntomic cohomology of ring spectra
Multi angle
Authors : Hahn, Jeremy (Author of the conference)
CIRM (Publisher )
55P42 - Stable homotopy theory, spectra
55P43 - Spectra with additional structure
55T05 - General
CIRM (Publisher )
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Abstract :
I will explain a construction of the motivic filtration on the topological cyclic homology of ring spectra, generalizing work of Bhatt–Morrow–Scholze and Bhatt–Lurie on the topological cyclic homology of discrete rings. This is joint with Arpon Raksit and Dylan Wilson. As time permits, I will discuss works in progress using the motivic spectral sequence to obtain new calculations in algebraic $K$-theory and prove higher chromatic variants of local Tate duality.
Keywords : prismatic cohomology; ring spectra; THH
MSC Codes : Keywords : prismatic cohomology; ring spectra; THH
55P42 - Stable homotopy theory, spectra
55P43 - Spectra with additional structure
55T05 - General
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Information on the Video
Film maker : Petit, JeanLanguage : English Available date : 17/02/2023 Conference Date : 24/01/2023 Subseries : Research talks arXiv category : Algebraic Topology ; Applications Mathematical Area(s) : Algebra ; Algebraic & Complex Geometry ; Topology Format : MP4 (.mp4) - HD Video Time : 00:51:46 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-01-24-hahn.mp4 
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Information on the Event
Event Title : Chromatic Homotopy, K-Theory and Functors / Homotopie chromatique, K-théorie et foncteursEvent Organizers : Ausoni, Christian ; Hess Bellwald, Kathryn ; Powell, Geoffrey ; Touzé, Antoine ; Vespa, Christine Dates : 23/01/2023 - 27/01/2023 Event Year : 2023 Event URL : https://conferences.cirm-math.fr/2339.html
Citation Data
DOI : 10.24350/CIRM.V.19997103Cite this video as: Hahn, Jeremy (2023). Prismatic and syntomic cohomology of ring spectra. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19997103 URI : http://dx.doi.org/10.24350/CIRM.V.19997103 |
See Also
- [Multi angle] Coinvariants, assembler K-theory, and scissors congruence / Author of the conference Zakharevich, Inna.
- [Multi angle] On the stable cohomology of the automorphism groups of free groups with coefficients / Author of the conference Vespa, Christine.
- [Multi angle] Representation spheres and chromatic Picard groups / Author of the conference Stojanoska, Vesna.
- [Multi angle] How algebraic is a stable model category? / Author of the conference Roitzheim, Constanze.
- [Multi angle] Topological cyclic homology of the second truncated Brown–Peterson spectrum / Author of the conference Rognes, John.
- [Multi angle] Equivalences in higher categories / Author of the conference Ozornova, Viktoriya.
- [Multi angle] (2)-categorical constructions and the multiplicative equivariant Barratt- Quillen-Priddy theorem / Author of the conference Osorno, Angélica.
- [Multi angle] Equivariant homotopy theory for infinite groups and THH with coefficients / Author of the conference Nikolaus, Thomas.
- [Multi angle] Equivariant elliptic cohomology / Author of the conference Meier, Lennart.
- [Multi angle] The universal property of topological Hochschild homology / Author of the conference Harpaz, Yonatan.
- [Multi angle] Spaces of quasi-invariants / Author of the conference Berest, Yuri.
- [Multi angle] A survey of Mackey and Green 2-functors / Author of the conference Dell'Ambrogio, Ivo.
- [Multi angle] The chromatic Nullstellensatz / Author of the conference Burklund, Robert.
- [Multi angle] Adjoining roots to ring spectra and algebraic K-theory / Author of the conference Bayindir, Haldun Özgür.
Bibliography
- HAHN, Jeremy, RAKSIT, Arpon, et WILSON, Dylan. A motivic filtration on the topological cyclic homology of commutative ring spectra. arXiv preprint arXiv:2206.11208, 2022. - https://doi.org/10.48550/arXiv.2206.11208
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