English
Diagram groups and their geometry - lecture 2
Multi angle
Auteurs : Genevois, Anthony (Auteur de la Conférence)
CIRM (Editeur )
05C25 - Graphs and abstract algebra (groups, rings, fields, etc.)
20F65 - Geometric group theory
57M07 - Topological methods in group theory
CIRM (Editeur )
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Résumé :
In these talks, we will discuss a family of groups called diagram groups, studied extensively by Guba and Sapir and others. These depend on semigroup presentations and turn out to have many good algorithmic properties. The first lecture will be a survey of diagram groups, including several examples and generalizations. The second lecture will take a geometric approach, understanding these groups through median-like geometry.
Keywords : diagram groups; semigroup diagrams; Squier complexes; directed 2-complexes; Thompson groups; median graphs; CAT(0) cube complexes
Codes MSC : Keywords : diagram groups; semigroup diagrams; Squier complexes; directed 2-complexes; Thompson groups; median graphs; CAT(0) cube complexes
05C25 - Graphs and abstract algebra (groups, rings, fields, etc.)
20F65 - Geometric group theory
57M07 - Topological methods in group theory
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Informations sur la Vidéo
Réalisateur : Recanzone, LucaLangue : Anglais Date de publication : 19/02/2024 Date de captation : 29/01/2024 Sous collection : Research School arXiv category : Group Theory ; Metric Geometry ; Combinatorics Domaine : Algebra ; Combinatorics ; Geometry Format : MP4 (.mp4) - HD Durée : 01:28:48 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-01-30_Genevois.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Research School in Discrete Mathematics and Computer Science / École de recherche en mathématiques discrètes et informatique - WEEK 1Organisateurs de la rencontre : Cassaigne, Julien ; Chalopin, Jérémie ; Chepoi, Victor ; Guillon, Pierre ; Moutot, Etienne ; Theyssier, Guillaume Dates : 29/01/2024 - 02/02/2024 Année de la rencontre : 2024 URL Congrès : https://conferences.cirm-math.fr/3148.html
Données de citation
DOI : 10.24350/CIRM.V.20135803Citer cette vidéo: Genevois, Anthony (2024). Diagram groups and their geometry - lecture 2. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20135803 URI : http://dx.doi.org/10.24350/CIRM.V.20135803 |
Voir aussi
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- [Multi angle] Tutorial on cellular automata - lecture 2 / Auteur de la Conférence Ollinger, Nicolas.
- [Multi angle] An introduction to Walnut - lecture 2 / Auteur de la Conférence Rampersad, Narad.
- [Multi angle] Randomness and complexity - lecture 2 / Auteur de la Conférence Perifel, Sylvain.
- [Multi angle] Tutorial on cellular automata - lecture 1 / Auteur de la Conférence Ollinger, Nicolas.
- [Multi angle] Diagram groups and their geometry - lecture 1 / Auteur de la Conférence Skipper, Rachel.
- [Multi angle] An introduction to Walnut - lecture 1 / Auteur de la Conférence Rampersad, Narad.
- [Multi angle] Randomness and complexity - lecture 1 / Auteur de la Conférence Perifel, Sylvain.
- [Multi angle] Complexity and the hat / Auteur de la Conférence Goodman-Strauss , Chaim.
- [Multi angle] The crossing paths of Mandelbrot and Schützenberger: an episode of crossovers between maths and computing (1953-1963) / Auteur de la Conférence Bullynck, Maarten.
Bibliographie
- GUBA, Victor et SAPIR, Mark. Diagram Groups, vol. 130 of Memoirs of the American Math. Soc. American Math. Soc., Providence, Rhode Island, 1997. - http://dx.doi.org/10.1090/memo/0620
- GENEVOIS, Anthony. An introduction to diagram groups. arXiv preprint arXiv:2211.12068, 2022. - https://doi.org/10.48550/arXiv.2211.12068
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