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Diagram groups and their geometry - lecture 2

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Authors : Genevois, Anthony (Author of the conference)
CIRM (Publisher )

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Abstract : 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

MSC Codes :
05C25 - Graphs and abstract algebra (groups, rings, fields, etc.)
20F65 - Geometric group theory
57M07 - Topological methods in group theory

    Information on the Video

    Film maker : Recanzone, Luca
    Language : English
    Available date : 19/02/2024
    Conference Date : 29/01/2024
    Subseries : Research School
    arXiv category : Group Theory ; Metric Geometry ; Combinatorics
    Mathematical Area(s) : Algebra ; Combinatorics ; Geometry
    Format : MP4 (.mp4) - HD
    Video Time : 01:28:48
    Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students
    Download : https://videos.cirm-math.fr/2024-01-30_Genevois.mp4

Information on the Event

Event Title : Research School in Discrete Mathematics and Computer Science / École de recherche en mathématiques discrètes et informatique - WEEK 1
Event Organizers : Cassaigne, Julien ; Chalopin, Jérémie ; Chepoi, Victor ; Guillon, Pierre ; Moutot, Etienne ; Theyssier, Guillaume
Dates : 29/01/2024 - 02/02/2024
Event Year : 2024
Event URL : https://conferences.cirm-math.fr/3148.html

Citation Data

DOI : 10.24350/CIRM.V.20135803
Cite this video as: 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

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