English
Equivariant elliptic cohomology
Multi angle
Auteurs : Meier, Lennart (Auteur de la Conférence)
CIRM (Editeur )
55N34 - Elliptic cohomology
55P91 - Equivariant homotopy theory, See also {19L47}
14A30 - Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.)
CIRM (Editeur )
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Résumé :
Inspired by the triad of rational, trigonometric and elliptic functions appearing in representation theory, Grojnowski defined in 1995 a higher analogue of equivariant ordinary cohomology and equivariant K-theory: equivariant elliptic cohomology. However, his approach only works over the complex numbers. Based on ideas of Lurie, David Gepner and I have recently defined equivariant elliptic cohomology without these restrictions. This allows in particular to refine topological modular forms to a genuine equivariant theory.
Keywords : equivariant; elliptic cohomology; K-theory
Codes MSC : Keywords : equivariant; elliptic cohomology; K-theory
55N34 - Elliptic cohomology
55P91 - Equivariant homotopy theory, See also {19L47}
14A30 - Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.)
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Informations sur la Vidéo
Réalisateur : Petit, JeanLangue : Anglais Date de publication : 17/02/2023 Date de captation : 23/01/2023 Sous collection : Research talks arXiv category : Algebraic Topology ; Category Theory Domaine : Algebraic & Complex Geometry ; Topology Format : MP4 (.mp4) - HD Durée : 01:07:53 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-01-23_MEIER.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Chromatic Homotopy, K-Theory and Functors / Homotopie chromatique, K-théorie et foncteursOrganisateurs de la rencontre : Ausoni, Christian ; Hess Bellwald, Kathryn ; Powell, Geoffrey ; Touzé, Antoine ; Vespa, Christine Dates : 23/01/2023 - 27/01/2023 Année de la rencontre : 2023 URL Congrès : https://conferences.cirm-math.fr/2339.html
Données de citation
DOI : 10.24350/CIRM.V.19997503Citer cette vidéo: Meier, Lennart (2023). Equivariant elliptic cohomology. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19997503 URI : http://dx.doi.org/10.24350/CIRM.V.19997503 |
Voir aussi
- [Multi angle] Coinvariants, assembler K-theory, and scissors congruence / Auteur de la Conférence Zakharevich, Inna.
- [Multi angle] On the stable cohomology of the automorphism groups of free groups with coefficients / Auteur de la Conférence Vespa, Christine.
- [Multi angle] Representation spheres and chromatic Picard groups / Auteur de la Conférence Stojanoska, Vesna.
- [Multi angle] How algebraic is a stable model category? / Auteur de la Conférence Roitzheim, Constanze.
- [Multi angle] Topological cyclic homology of the second truncated Brown–Peterson spectrum / Auteur de la Conférence Rognes, John.
- [Multi angle] Equivalences in higher categories / Auteur de la Conférence Ozornova, Viktoriya.
- [Multi angle] (2)-categorical constructions and the multiplicative equivariant Barratt- Quillen-Priddy theorem / Auteur de la Conférence Osorno, Angélica.
- [Multi angle] Equivariant homotopy theory for infinite groups and THH with coefficients / Auteur de la Conférence Nikolaus, Thomas.
- [Multi angle] The universal property of topological Hochschild homology / Auteur de la Conférence Harpaz, Yonatan.
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- [Multi angle] Spaces of quasi-invariants / Auteur de la Conférence Berest, Yuri.
- [Multi angle] A survey of Mackey and Green 2-functors / Auteur de la Conférence Dell'Ambrogio, Ivo.
- [Multi angle] The chromatic Nullstellensatz / Auteur de la Conférence Burklund, Robert.
- [Multi angle] Adjoining roots to ring spectra and algebraic K-theory / Auteur de la Conférence Bayindir, Haldun Özgür.
Bibliographie
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