English
Growth and co-growth in negatively curved groups: a dynamical point of view (part 1)
Multi angle
Auteurs : Coulon, Rémi (Auteur de la Conférence)
CIRM (Editeur )
20F65 - Geometric group theory
20F67 - Hyperbolic groups and nonpositively curved groups
37A15 - General groups of measure-preserving transformations
37A35 - Entropy and other invariants, isomorphism, classification
37D40 - Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
CIRM (Editeur )
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Résumé :
This mini-course is an introduction to growth problems in negatively curved groups with an emphasis on techniques borrowed from dynamical systems, in particular the study of geodesic flow on hyperbolic manifolds.
Keywords : Gromov hyperbolic spaces; growth rate; critical exponents; Patterson-Sullivan measures; amenability
Codes MSC : Keywords : Gromov hyperbolic spaces; growth rate; critical exponents; Patterson-Sullivan measures; amenability
20F65 - Geometric group theory
20F67 - Hyperbolic groups and nonpositively curved groups
37A15 - General groups of measure-preserving transformations
37A35 - Entropy and other invariants, isomorphism, classification
37D40 - Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 29/04/2022 Date de captation : 11/04/2022 Sous collection : Research School arXiv category : Group Theory Domaine : Algebra ; Geometry Format : MP4 (.mp4) - HD Durée : 01:16:57 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-04-11_Coulon.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Groups Acting on Fractals / Groupes agissant sur des fractalesOrganisateurs de la rencontre : Dahmani, Francois ; Dymarz, Tullia ; Haïssinsky, Peter ; Horbez, Camille Dates : 11/04/2022 - 15/04/2022 Année de la rencontre : 2022 URL Congrès : https://conferences.cirm-math.fr/2532.html
Données de citation
DOI : 10.24350/CIRM.V.19906203Citer cette vidéo: Coulon, Rémi (2022). Growth and co-growth in negatively curved groups: a dynamical point of view (part 1). CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19906203 URI : http://dx.doi.org/10.24350/CIRM.V.19906203 |
Voir aussi
- [Multi angle] The geometry and topology of automorphism groups of free groups (part 1) / Auteur de la Conférence Vogtmann, Karen.
- [Multi angle] Self-similar actions on Cantor sets (part 1) / Auteur de la Conférence Skipper, Rachel.
- [Multi angle] Embeddings between RAAGs (part 1) / Auteur de la Conférence Genevois, Anthony.
Bibliographie
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