**BILKENT
ALGEBRA / TOPOLOGY SEMINAR**

**"Equivariant Homotopy Diagrams"**

By

# ASLI GÜÇLÜKAN İLHAN

# (Gebze Institute of
Technology)

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**Abstract:** In a joint work with Özgün Ünlü, we develop an obstruction theory for lifting equivariant diagrams to actual commutative diagrams. Our
motivation for this study is to build G-CW-complexes with controlled isotropy subgroups
which are homotopy equivalent
to product of spheres. One can use this obstruction theory to construct such a
complex from building blocks which are only known up to homotopy
by promoting them to an actual gluing data. In this talk, I will discuss one
such application.

**Date: ****Monday, November 25, 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.