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Complexity of positive cones of limit groups Antolin, Yago

Description

A left-order on a group G is totally determined by its positive cone P, that is the elements in G that are greater than the identity. The set P is a subsemigroup and we can ask ourselves when this semigroup can befinitely generated, described by a regular language,etc. A recent resultof S.Hermiller and Z.Sunic shows that non-abelian free groups do not have regular positivecones. I will discuss this and how to generalize this result to limit groups. The talk will be based on joint work with C.Rivas and I will report some results of my PhD student H.L.Su. (Yago Antolin is from the Unversidad Autónoma de Madrid)

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Title
Complexity of positive cones of limit groups
Creator
Antolin, Yago
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2019-06-17T17:09
Description
A left-order on a group G is totally determined by its positive cone P, that is the elements in G that are greater than the identity. The set P is a subsemigroup and we can ask ourselves when this semigroup can befinitely generated, described by a regular language,etc. A recent resultof S.Hermiller and Z.Sunic shows that non-abelian free groups do not have regular positivecones. I will discuss this and how to generalize this result to limit groups. The talk will be based on joint work with C.Rivas and I will report some results of my PhD student H.L.Su. (Yago Antolin is from the Unversidad Autónoma de Madrid)
Extent
43.0 minutes
Subject
Mathematics; Algebraic topology; Dynamical systems and ergodic theory
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Universidad Autónoma de Madrid
Series
BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available
2021-01-13
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0395569
URI
http://hdl.handle.net/2429/77067
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Researcher
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International