SMS scnews item created by John Enyang at Mon 3 Jun 2013 0716
Type: Seminar
Distribution: World
Expiry: 15 Jun 2013
Calendar1: 14 Jun 2013 1205-1255
CalLoc1: Carslaw 173
Auth: enyang@penyang.pc (assumed)

# Infinite reduced words and the Tits boundary of Coxeter groups

### Thomas

###### 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

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