[Turkmath:7094] Feza Gürsey Fizik ve Matematik UygAr Merkezi Genel Seminer :: Mehmet Akif Erdal[11 Nisan 2025; saat 13:30]

[kazimilhan.ikeda]

Değerli Matematikçiler,

Feza Gürsey Fizik ve Matematik UygAr Merkezi Genel Semineri 11 Nisan 
2025 Cuma günü saat 13:30'da Merkez Bina "asma kat" seminer salonunda 
yapılacaktır. Konuşma detayları aşağıda yer almaktadır.

İyi çalışmalar,
İlhan İkeda

Konuşmacı: Mehmet Akif Erdal (Yeditepe Üniversitesi)

Konuşma başlığı: On homotopy theories of various types of generalized 
smooth spaces

Özet:
The category of smooth manifolds and smooth maps does not have many 
desirable properties; it is neither (co)complete nor has a closed 
monoidal structure. Generalized smooth spaces are generalizations of 
smooth manifolds which permit many of those desirable categorical 
properties. There are several different models for generalized smooth 
spaces; such as, Chen Spaces, Sikorski's differential modules, 
stratifolds, diffeological spaces, Frölicher spaces, etc. In this talk 
we are interested in the categories of diffeological spaces, Frölicher 
spaces and formal duals of smooth algebras. We first briefly discuss 
some of the existing homotopy theories on these categories (e.g., 
homotopical structures on diffeological spaces by Chritiensen&Wu, by 
Haraguchi&Shimakawa, and by Kihara), and then we introduce a new 
collection of homotopical structures on them; either by using 
appropriate adjunctions or by using enrichments over other homotopical 
theories. Finally we compare some of these new homotopical structures 
with the already existing ones in the literature.

NOT: Ulaşım- https://fezagursey.bogazici.edu.tr/tr/ulasim
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