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Thursday 10 Dec 2015The Birational Section Conjecture over Function Fields

Michael Tyler - Exeter

H103 14:30-15:30

In this talk we discuss the birational section conjecture over function fields in characteristic zero, and the possibility of reducing the conjecture over finitely generated fields over Q to the case of number fields. The approach is based on recent work by Mohamed Saidi, and we use a reduction argument and a local-global principle, assuming the finiteness of certain Tate-Shafarevich groups. We will outline the method and where the difficulties lie.

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