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How algebraic is a stable model category?
Multi angle
Authors : Roitzheim, Constanze (Author of the conference)
CIRM (Publisher )
55P42 - Stable homotopy theory, spectra
18N40 - Homotopical algebra, Quillen model categories, derivators
CIRM (Publisher )
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Abstract :
There are many different notions of 'being algebraic' used in stable homotopy theory. The relationships between those turn out to be unexpectedly subtle. We will explain the different ways in which a model category of interest can be algebraic, explore the different implications between them and illustrate those with plenty of examples. This is joint work with Jocelyne Ishak and Jordan Williamson.
Keywords : model categories; homotopy theory
MSC Codes : Keywords : model categories; homotopy theory
55P42 - Stable homotopy theory, spectra
18N40 - Homotopical algebra, Quillen model categories, derivators
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Information on the Video
Film maker : Petit, JeanLanguage : English Available date : 17/02/2023 Conference Date : 23/01/2023 Subseries : Research talks arXiv category : Algebraic Topology ; Category Theory ; Combinatorics Mathematical Area(s) : Algebra ; Topology Format : MP4 (.mp4) - HD Video Time : 00:55:16 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-01-23-roitzheim.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.19998303Cite this video as: Roitzheim, Constanze (2023). How algebraic is a stable model category?. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19998303 URI : http://dx.doi.org/10.24350/CIRM.V.19998303 |
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] 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] Prismatic and syntomic cohomology of ring spectra / Author of the conference Hahn, Jeremy.
- [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
- ISHAK, Jocelyne, ROITZHEIM, Constanze, et WILLIAMSON, Jordan. Levels of algebraicity in stable homotopy theories. arXiv preprint arXiv:2110.03138, 2021. - https://doi.org/10.48550/arXiv.2110.03138
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