Event Detail

Event Type: 
Geometry-Topology Seminar
Date/Time: 
Monday, May 9, 2016 - 12:00
Location: 
Gilkey 113

Speaker Info

Institution: 
Graduate Student
Abstract: 

A building is a type of simplicial complex originally developed in order to study a class of topological groups called Lie groups. For such a group G, one finds a pair of subgroups B and N of G which together algebraically generate G; if B and N satisfy certain properties, they form what is known as a BN-pair for G. From a BN-pair for a group G, a building can be derived, and G acts upon this building as a group of simplicial complex automorphisms. This talk will begin by examining the definitions of buildings and BN-pairs, with examples, and conclude by deriving a building from an arbitrary BN-pair.