Event Type:

Topology Seminar

Date/Time:

Tuesday, January 30, 2007 - 07:00

Location:

Kidd 236

Local Speaker:

Abstract:

The Bass-Serre theory is a fundamental structure theorem in group theory that relates geometric and combinatorial aspects of a group. Generally speaking, a group that acts on a tree decomposes into smaller pieces encoded in the stabilizer data via iterated applications of HNN extensions and free products with amalgamation. These latter constructions are well-regulated from a combinatorial perspective, including normal forms. This talk will survey the relevant normal forms and the connection to actions on trees.