SMS scnews item created by Alex Casella at Mon 1 Aug 2016 0946
Type: Seminar
Distribution: World
Expiry: 31 Oct 2016
Calendar1: 1 Aug 2016 1700-1800
CalLoc1: Carslaw 535A
CalTitle1: MaPSS Seminar
Auth: casella@10.16.65.78 (acas5565) in SMS-WASM

# MaPSS: Mathematical Postgraduate Seminar Series: Robert Tang -- Wall spaces and CAT(0)-cube complexes

Dear All,

We are delighted to present the MaPSS Seminar topic of Monday ; please see the abstract
below.

**This Semester the Seminar will always run on Monday, at 5:00pm in 535A**

Following the talk, there will be pizza on offer.

Speaker: Robert Tang (Postdoc University of Oklahoma)

Title: Wall spaces and CAT(0)-cube complexes

Abstract: A wall space is a set X together with a collection W of "walls" -- partitions
of X into two non-empty subsets.  A simple example is a tree: X is the vertex set, and
each edge naturally determines a wall by separating the tree into two components.  I
will describe a construction due to Sageev which associates to a wall space its dual
cube complex C(X,W).  This dual cube complex admits some nice metrics, and captures many
combinatorial properties of the original wall space geometrically.  I will go through
several examples and, time permitting, some applications to topology and group theory.