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Equivariant homotopy theory for infinite groups and THH with coefficients
Multi angle
Authors : Nikolaus, Thomas (Author of the conference)
CIRM (Publisher )
13D03 - (Co)homology of commutative rings and algebras
19D55 - $K$-theory and homology; cyclic homology and cohomology, See also {18G60}
13F35 - Witt vectors and related rings
CIRM (Publisher )
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Abstract :
We will explain a new setting of genuine equivariant homotopy theory for infinite groups (like the integers) inspired by work of Kaledin. This is different from the usual approach and allows to prove a comparison to a new relative version of cyclotomic spectra that we introduce (called polygonic spectra). We shall also explain the relation to TR and to Witt vectors with coefficients. This is joint work with A. Krause and J. McCandless.
Keywords : topological Hochschild homology; Witt vectors; equivariant homotopy theory
MSC Codes : Keywords : topological Hochschild homology; Witt vectors; equivariant homotopy theory
13D03 - (Co)homology of commutative rings and algebras
19D55 - $K$-theory and homology; cyclic homology and cohomology, See also {18G60}
13F35 - Witt vectors and related rings
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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 ; K-Theory and Homology Mathematical Area(s) : Algebra ; Topology Format : MP4 (.mp4) - HD Video Time : 01:04:01 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-01-23_Nikolaus.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.19997703Cite this video as: Nikolaus, Thomas (2023). Equivariant homotopy theory for infinite groups and THH with coefficients. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19997703 URI : http://dx.doi.org/10.24350/CIRM.V.19997703 |
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 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
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