School Seminars and Colloquia

Ordering fundamental groups (part 3)

Topology/Geometry

by Professor Dale Rolfsen


Institution: University of British Columbia
Date: Wed 15th December 2004
Time: 2:15 PM
Location: Room 213, Richard Berry Building, University of Melbourne

Abstract: Beginning with some basic facts on ordering of groups, I will present, with proofs, some connections between properties of a topological space (emphasis on manifolds) and orderability of its fundamental group. Techniques and applications will include Magnus expansions, a basic theorem of T. Farrell, a knot-theoretical application of N. Smythe, the core theorem of P. Scott,
foliations and finite degree maps between 3-manifolds. Various open questions will also be presented.

For More Information: Craig Hodgson, tel. 8344-5553, email: c.hodgson@ms.unimelb.edu.au