School Seminars and Colloquia

How abelianization of subgroups of braid groups applies to cohomology

Algebra/Geometry/Topology Seminar

by Vincent Beck


Institution: ENS Cachan, France
Date: Wed 27th April 2011
Time: 3:15 PM
Location: Room 213, Richard Berry Building, The University of Melbourne

Abstract: : Let W be a complex reflection group. It is easy to define the braid group B and the pure braid group P associated to W, which are related by the exact sequence 1->P->B->W->1. In this talk, I will explain how to determine the order of the extension 1->P/[P,P]->B/[P,P]->W->1 viewed as an element of the second cohomology group H2(W,P/[P,P]). The main ingredient is abelianization of subgroups of reflection groups and their braid groups.

For More Information: contact: Craig Westerland. email: c.westerland@ms.unimelb.edu.au