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.

---------------------------------------------------------------------------------------

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


If you are registered you may mark the scnews item as read.
School members may try to .