Event Type:

Geometry-Topology Seminar

Date/Time:

Monday, May 9, 2016 - 12:00

Location:

Gilkey 113

Guest Speaker:

Samantha Smith

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.