[Turkmath] Gebze Teknik Üniversitesi genel seminer

[Seher Tutdere]

*Sayın liste üyeleri,*

*Gebze Teknik Üniversitesi (GTÜ) Matematik Bölümü Genel Seminerleri
kapsamında, 12 Aralık Cuma  günü  *Debasis Sen  (Indian Institute of
Technology,  Kanpur)  bir*   seminer verecektir. *

*Seminerin detayları aşağıda olup tüm  ilgililer davetlidir.*

*Saygılarımızla,*
*Seher Tutdere & İpek Tuvay*


*Dear All,*

*There will be a seminar in Gebze Technical University (GTU)  on 12th of
December  by  *Debasis Sen ((Indian Institute of Technology,  Kanpur).

*Time  and  place:**  at 15:30, December  12, in Department of Mathematics,
Building I, Seminar room.*



*Title*:  Realizing Homotopy Group Actions.

*Abstract:*
A homotopy action of a group G on a topological space X is a group
homomorphism from G to the group of homotopy classes of self-homotopy
equivalences of X. George Cooke described an obstruction theory for
realizing a homotopy action of a finite group G on a space X by strict
action. However, the resulting G-space is only determined up to a homotopy
equivalence which is a G-map (Borel equivalence), and in this sense every
G-space is equivalent to a free one.  So the more delicate aspects of
equivariant topology are not visible in this way. A more informative
approach to equivariant homotopy theory, due to Bredon, studies G-spaces X
up to G-homotopy equivalence, that is, G-maps having G-homotopy inverses.
The purpose of this talk is to define a notion of homotopy action of a
finite group in Bredon equivariant homotopy theory, and describe an
associated inductive procedure for realizing such an action by a strict
one. (This is a joint work with Prof. David Blanc)
All interested are kindly invited,
Best regards,
Seher Tutdere & İpek Tuvay
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