[Turkmath:5455] İ.Ü. Matematik Bölüm Semineri

[TEMHA ERKOÇ YILMAZTÜRK]

Merhabalar,

02.03.2022 tarihinde  saat 14.00 te Boğaziçi Üniversitesinden  Araş. Gör.
Oğuz Şavk başlık ve özeti aşağıda verilen bir konuşma yapacaktır.  Seminer
Zoom programı üzerinden online yapılacaktır. Katılmak isteyenlerin katılım
bilgilerini alabilmeleri için "huseyinuysal at istanbul.edu.tr " adresine mail
atmaları gerekmektedir.


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*Başlık: *Three classical problems in low-dimensional topology

*Özet: *In this talk, we present the following three classical and
unresolved problems of low-dimensional topology. They are about objects
called homology 3-spheres first introduced by Henri Poincaré at the
beginning of the twentieth century.

1. Which homology 3-spheres bound contractible 4-manifolds or homology
4-balls? (main problem)
2. Which homology 3-spheres are homology cobordant to S^3?
3. Which homology 3-spheres embed in S^4?

We discuss interactions amongst these three problems from a historical
perspective and state several open problems. Addressing the plumbing
construction of manifolds, we introduce natural sources of homology
3-spheres including Brieskorn spheres and Seifert fibered homology
spheres. In the end, we list all currently known results for plumbed
homology 3-spheres.
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İyi Günler dilerim.
Temha

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