School Seminars and Colloquia

Homology and the symmetric group

Geometry/Topology Seminar

by Stephen Bigelow


Institution: UCSB
Date: Mon 22nd August 2005
Time: 3:15 PM
Location: Theatre 1, Old Geology

Abstract: This talk will give the topological side to my colloquium talk, but will
be self-contained. I am interested in actions of the symmetric group S_n
on a finite-dimensional vector space over a field. It turns out these can
be defined using homology of spaces of configurations of points in a disk.
Some strange algebraic behaviour can then be seen as resulting from
special elements of homology, which in turn can be described as "dances"
amongst points on the disk.

For More Information: Lawrence Reeves email: l.reeves@ms.unimelb.edu.au