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Representation spheres and chromatic Picard groups
Multi angle
Authors : Stojanoska, Vesna (Author of the conference)
CIRM (Publisher )
55Q50 - $J$-morphism, See also {19L20}
55Q51 - vn-periodicity
CIRM (Publisher )
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Abstract :
I will discuss ways in which representation spheres of specific finite (or profinite) groups can describe elements in chromatically interesting Picard groups, including the quintessential Picard group of the K(n)-local category. This is based on work joint with Beaudry, Bobkova, Goerss, Henn, Hill, and Pham.
Keywords : Hopkins' Picard group; Morava stabilizer group; chromatic homotopy
MSC Codes : Keywords : Hopkins' Picard group; Morava stabilizer group; chromatic homotopy
55Q50 - $J$-morphism, See also {19L20}
55Q51 - vn-periodicity
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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 ; Disordered Systems and Neural Networks Mathematical Area(s) : Topology Format : MP4 (.mp4) - HD Video Time : 00:59:04 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-01-24-Stojanoska.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.19998503Cite this video as: Stojanoska, Vesna (2023). Representation spheres and chromatic Picard groups. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19998503 URI : http://dx.doi.org/10.24350/CIRM.V.19998503 |
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] 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] 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
- BEAUDRY, Agnes, BOBKOVA, Irina, GOERSS, Paul G., et al. The Exotic $ K (2) $-Local Picard Group at the Prime $2$. arXiv preprint arXiv:2212.07858, 2022. - https://doi.org/10.48550/arXiv.2212.07858
- BEAUDRY, Agnes, BOBKOVA, Irina, HILL, Michael, et al. Invertible K (2)-Local E-Modules in C4-Spectra. arXiv e-prints, page. arXiv preprint arXiv:1901.02109, 2019. - https://arxiv.org/abs/1901.02109
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