Français
Equivalences in higher categories
Multi angle
Authors : Ozornova, Viktoriya (Author of the conference)
CIRM (Publisher )
55U35 - Abstract homotopy theory
18N10 - 2-categories, bicategories, double categories
18N50 - Simplicial sets, simplicial objects
18N65 - (∞,n) -categories and (∞,∞) -categories
CIRM (Publisher )
Loading the player...
|
Abstract :
We will start with recognition criteria for equivalences in (infty,n)-categories, introducing and discussing the latter along the way. From there, we will investigate how the notion of equivalence is encoded in strict higher categories, and time permitting discuss the relation of those notions. This is based on joint work (partially in progress) with Martina Rovelli.
Keywords : ($\infty ,n$)-categories; strict higher categories; equivalences
MSC Codes : Keywords : ($\infty ,n$)-categories; strict higher categories; equivalences
55U35 - Abstract homotopy theory
18N10 - 2-categories, bicategories, double categories
18N50 - Simplicial sets, simplicial objects
18N65 - (∞,n) -categories and (∞,∞) -categories
|
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 Mathematical Area(s) : Topology Format : MP4 (.mp4) - HD Video Time : 01:05:44 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-01-23_Ozornova.mp4 
|
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.19998103Cite this video as: Ozornova, Viktoriya (2023). Equivalences in higher categories. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19998103 URI : http://dx.doi.org/10.24350/CIRM.V.19998103 |
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] (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
Imagette Video
