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Boundedness of foliations

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If you have a question about this talk, please contact Dhruv Ranganathan.

I will explain some work relating to the boundedness of holomorphic foliations on algebraic surfaces using techniques from birational geometry and the minimal model program. I will then explain some applications of these ideas to some classical problems in foliation theory (e.g., can we bound the degree of an algebraic orbit of a polynomial vector field on the plane), as well as some applications to more modern problems (e.g., moduli spaces of holomorphic foliations). Features joint work with Roberto Svaldi.

This talk is part of the Algebraic Geometry Seminar series.

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