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Adjoining roots to ring spectra and algebraic K-theory
Multi angle
Authors : Bayindir, Haldun Özgür (Author of the conference)
CIRM (Publisher )
19D99 - None of the above but in this section
55N15 - $K$-theory, See also {19Lxx}, {For algebraic $K$-theory, See 18F25, 19-XX}
55P99 - None of the above but in this section
Additional resources :
https://www.cirm-math.fr/RepOrga/2339/Slides/Bayindir_CIRM2339.pdf
CIRM (Publisher )
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Abstract :
In this work, we start with a new method to adjoin roots to ring spectra. Upon making a new definition of logarithmic THH, we prove that root adjunction is logarithmic THH etale and that it results in interesting splittings in algebraic K-theory. Using this, we obtain new algebraic K-theory computations. This is a joint work with Christian Ausoni and Tasos Moulinos.
Keywords : Algebraic K-theory; topological Hochschild homology
MSC Codes : Keywords : Algebraic K-theory; topological Hochschild homology
19D99 - None of the above but in this section
55N15 - $K$-theory, See also {19Lxx}, {For algebraic $K$-theory, See 18F25, 19-XX}
55P99 - None of the above but in this section
Additional resources :
https://www.cirm-math.fr/RepOrga/2339/Slides/Bayindir_CIRM2339.pdf
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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 ; K-Theory and Homology ; Fluid Dynamics Mathematical Area(s) : Algebra ; Topology Format : MP4 (.mp4) - HD Video Time : 00:54:39 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-01-24-bayindir.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.19996403Cite this video as: Bayindir, Haldun Özgür (2023). Adjoining roots to ring spectra and algebraic K-theory. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19996403 URI : http://dx.doi.org/10.24350/CIRM.V.19996403 |
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] 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.
Bibliography
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