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Seminários do IMPA

Folheações Holomorfas

About classification of neighborhoods of curves
Olivier Thom

Quinta-feira, 17 de janeiro de 2019, 15:30
Sala 224

The main topic of this talk will be the classification of 2-dimensional neighborhoods of smooth compact complex curves. I will begin by giving an overview of the history of this problem and then i will present in more detail a method to classify neighborhoods when the curve has self-intersection zero: the "classification via bifoliated neighborhoods".

More precisely, I will explain why this method works particularly well when the normal bundle is trivial by showing how we can construct two formal foliations in the neighborhood and how to use them to obtain the formal classification of these neighborhoods.