**SMS scnews item created by John Enyang at Thu 4 Apr 2013 1040**

Type: Seminar

Modified: Thu 11 Apr 2013 1208

Distribution: World

Expiry: 13 Apr 2013

**Calendar1: 14 Jun 2013 1205-1255**

**CalLoc1: To be advised**

CalTitle1: Algebra Seminar: Thomas -- Infinite reduced words and the Tits boundary of Coxeter groups

Auth: enyang@penyang.pc (assumed)

### Algebra Seminar

# Rescheduled: Infinite reduced words and the Tits boundary of Coxeter groups

### Thomas

###### Please note that this talk has been rescheduled to

###### Friday 14th June, 12:05-12:55pm

###### Speaker:

Anne Thomas (University of Sydney)

###### Title:

Infinite reduced words and the Tits boundary of Coxeter groups

###### Abstract:

Let \((W,S)\) be a Coxeter system with W infinite. An infinite reduced word of \(W\) is
an infinite sequence of elements of \(S\) such that each finite subsequence is a reduced
word. We recall a natural partial order on infinite reduced words, called the limit
weak order, which was investigated for \(W\) affine by Lam-Pylyavskyy. In order to study
this partial order for \(W\) non-affine, we use the Davis complex \(X\) for \((W,S)\).
Our main result says that the limit weak order is encoded by the topology of the Tits
boundary of \(X\). No background on Davis complexes or the Tits boundary will be
assumed. This is joint work with Thomas Lam.

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We will take the speaker to lunch after the talk.

See the Algebra Seminar
web page for information about other seminars in the series.

John Enyang John.Enyang@sydney.edu.au