Department of Mathematics
"Spherical posets from commuting elements"
By
CİHAN OKAY
(University of Western Ontario, Canada)
Abstract: Collections of
subgroups of a group G play a central role in topology and representation
theory. Ordered under the inclusion relation such collections are partially
ordered sets. Taking the nerve gives rise to natural examples of
G-spaces. Topological properties of such spaces reflect the structure
of the group. Tits building associated to an algebraic group is one of the
classical examples, and the resulting space has the homotopy type of
a wedge of spheres by the Solomon-Tits theorem. In this talk I will
talk about spherical complexes which naturally arise in the study of
certain type of principal G-bundles called transitionally commutative
bundles. The poset in question is constructed from the cosets of abelian
subgroups.
Date: Friday, JULY 1 2016
Time: 13.40-14.30
Place: Mathematics Seminar Room, SA-141
All are most cordially invited. Tea
and cookies will be served after the talk.