Middle East Technical University ODTÜ-Bilkent Algebraic Geometry Seminars

An Obstruction for Algebraic Realization of Smooth Closed Manifolds with Prescribed Algebraic Submanifolds and Some Examples
Yıldıray Ozan
Orta Doğu Teknik Üniversitesi, Turkey
Özet : First I will review the history of Algebraic Realization Problem of Smooth Manifolds starting from Seifert's 1936 result to Tognoli and to Akbulut and King. Then I will introduce some tools typical to the subject like algebraic homology and strongly algebraic vector bundles. Finally, I will present a result (joint with one of my former masters' student Arzu Çelikten) which introduces an obstruction for a topological vector bundle to admit a strongly algebraic structure. Using this obstruction we will construct examples of manifolds promised in the title.
  Tarih : 17.05.2019
  Saat : 15:30
  Yer : Mathematics Seminar Room, ODTU.
  Dil : English
  Not : Early start for this talk
  Web : http://sertoz.bilkent.edu.tr/agseminar.htm
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