[Turkmath:3434] MSGSÜ- Matematik Genel Seminer- Mehmet Akif Erdal- 29.11.2018, 16:00

[Sibel Şahin]

Sayın liste üyeleri,

*29 Kasım Perşembe 16:00'**da* MSGSÜ Matematik Bölümü Genel Semineri'nde
Bilkent Üniversitesi Matematik Bölümü'nden  *Mehmet Akif Erdal*  *"**Orbit
vs. fixed point model structures on spaces with group actions**" *başlıklı
bir konuşma verecektir. Konuşmanın özeti aşağıda yer almaktadır.

Seminerde görüşmek dileğiyle,
Sibel ŞAHİN

*Başlık: **Orbit vs. fixed point model structures on spaces with group
actions*

*Özet: *Given a group $G$, let $f:A\to B$ be a map between $G$-CW-complexes
such that $f^H:A^H\to B^H$ is a homotopy equivalence for every $H\leq G$.
Then $f/H:A/H\to B/H$ is also a homotopy equivalence, for any $H \leq G$.
The converse, however, is not always true and it is natural to ask when it
is true for a given group. In this talk, we give a criterion that
guarantees the converse to hold. For this, we construct a model structure
on the category of $G$-spaces in which weak equivalences and cofibrations
defined on orbits. This is a joint work with Aslı Güçlükan İlhan.
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