" A Local Method in Group Cohomology"
Abstract: Given a partially ordered set, one can associate a simplicial complex. In fact if this poset is endowed with a G-action where G is a finite group, this action induces an action on associated simplicial complex. In , Peter Webb introduces a method for local calculation of group cohomology using simplicial complex with a G-action and he discuss some simplicial complexes arising from subgroup posets as an application.
In this talk, we give some examples of simplicial complexes associated to subgroup posets, then we introduce Peter Webb's approach to local control of group cohomology and we discuss applications of his main result.
References: P.J. Webb, A local method in group cohomology, Comment. Math. Helvetici. 62 (1987), 135-167
Date: Monday, March 11, 2013
Place: Mathematics Seminar Room, SA-141
All are most cordially invited.
Tea and cookies will be served after the talk.