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The chromatic Nullstellensatz
Multi angle
Authors : Burklund, Robert (Author of the conference)
CIRM (Publisher )
19D99 - None of the above but in this section
55P43 - Spectra with additional structure
CIRM (Publisher )
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Abstract :
Hilbert's Nullstellensatz is a fundamental result in commutative algebra which is the starting point for classical algebraic geometry. In this talk, I will discuss a version of Hilbert's Nullstellensatz in chromatic homotopy theory, where Lubin-Tate theories play the role of algebraically closed fields. Time permitting, I will then indicate some of the applications of the chromatic nullstellensatz including to redshift for the algebraic K-theory of commutative algebras. This is joint work with Tomer Schlank and Allen Yuan.
Keywords : Chromatic homotopy; higher algebra; redshift
MSC Codes : Keywords : Chromatic homotopy; higher algebra; redshift
19D99 - None of the above but in this section
55P43 - Spectra with additional structure
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Information on the Video
Film maker : Petit, JeanLanguage : English Available date : 17/02/2023 Conference Date : 26/01/2023 Subseries : Research talks arXiv category : Algebraic Topology ; Representation Theory Mathematical Area(s) : Algebra ; Topology Format : MP4 (.mp4) - HD Video Time : 01:06:17 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-01-26-Burklund.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.19996603Cite this video as: Burklund, Robert (2023). The chromatic Nullstellensatz. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19996603 URI : http://dx.doi.org/10.24350/CIRM.V.19996603 |
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] Adjoining roots to ring spectra and algebraic K-theory / Author of the conference Bayindir, Haldun Özgür.
Bibliography
- BURKLUND, Robert, SCHLANK, Tomer M., et YUAN, Allen. The Chromatic Nullstellensatz. arXiv preprint arXiv:2207.09929, 2022. - https://arxiv.org/abs/2207.09929
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