Topology Seminar: Cihan Okay

  • Date: 01/31/2018
  • Time: 15:15
Lecturer(s):
Cihan Okay, University of British Columbia
Location: 

University of British Columbia

Topic: 

Spherical posets from commuting elements

Description: 

Given a group G the space of n-tuples of pairwise commuting elements can be assembled into a subspace Bcom(G) of the classifying space BG. This space classifies certain types of principal bundles, but unlike BG it is not always aspherical for discrete groups.

The universal cover can be studied using posets, and when G is an extraspecial p-group, I will show that it has the homotopy type of a wedge of spheres. Extraspecial groups appear as the basic observables in quantum computation, and I will also talk about some recent applications of Bcom(G).

Other Information: 

ESB 4133 (PIMS Lounge)
Wed 31 Jan 2018, 3:15pm-4:15pm