**BİLKENT
ALGEBRA **

TOPOLOGY SEMINAR

**" A Local Method in Group Cohomology****"**

By

# ÇİSEM GÜNEŞ

# (Bilkent University)

**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 [1],
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:[**1] P.J. Webb, A local method in group cohomology,
Comment. Math. Helvetici. 62 (1987), 135-167

**Date: ****Monday, March 11, 2013**

**Time: ****13.40-14.30**

**Place: ****Mathematics Seminar Room,
SA-141**

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**All are most cordially invited.**

Tea and cookies will be served after the talk.