SMS scnews item created by Anne Thomas at Tue 7 Feb 2012 1718
Type: Seminar
Distribution: World
Expiry: 20 Feb 2012
Calendar1: 20 Feb 2012 1200-1300
CalLoc1: Carslaw 830
CalTitle1: Group Actions Seminar: Holt -- Automaticity of Artin groups
Calendar2: 20 Feb 2012 1430-1530
CalLoc2: AGR Carslaw 829
CalTitle2: Group Actions Seminar: Thomas -- Divergence in right-angled Coxeter groups
Auth: athomas(.pmstaff;2039.2002)@p615.pc.maths.usyd.edu.au

# Group Actions Seminar: Holt, Thomas

I have renamed the Infinite Groups Seminar to the Group Actions Seminar.

Our first meeting for 2012 will be held at the University of Sydney on Monday 20
February, with Derek Holt and Anne Thomas speaking.  Details are below.

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Date: Monday 20 February

Time: 12 noon

Location: Room 830, Carslaw Building, University of Sydney

Speaker: Derek Holt (University of Warwick)

Title: Automaticity of Artin groups

Abstract:

After a brief resumee of the definition and basic properties of automatic groups, we
discuss the question of which Artin groups are automatic.  This has been proved for
various types of Artin groups by Charney, Hermiller and Meier, Peiffer, Brady and
McCammond, and others.  We report on recent work with Sarah Rees that certain other
types of Artin groups, including all of those of large-type, are automatic.

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Date: Monday 20 February

Time: 2:30pm

Location: Room 829 (Access Grid Room), Carslaw Building, University of Sydney

Speaker: Anne Thomas (University of Sydney)

Title: Divergence in right-angled Coxeter groups

Abstract:

The divergence of a pair of geodesics emanating from a point in a metric space is a
measure of how quickly they are moving away from each other.  In Euclidean space
divergence is linear, while in hyperbolic space divergence is exponential.  Gersten used
this idea to define a quasi-isometry invariant for groups, which has been investigated
for classes of groups including 3-manifold groups, mapping class groups and right-angled
Artin groups.  I will discuss joint work with Pallavi Dani on divergence in the class of
right-angled Coxeter groups.

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