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Fundamental Groups in Arithmetic and Algebraic Geometry

Glimpses of Zl anabelian geometry

speaker: Florian Pop (University of Pennsylvania)

abstract: The (birational) anabelian Geometry results, both in the arithmetical setting à la Grothendieck, and the geometrical setting à la Bogomolov, use full pro-S profinite Galois theory, where S is some set of prime numbers. There is nevertheless evidence that several anabelian results should hold for truncated pro-S Galois theoretical information. In my talk I will give precise definitions of the objects I have in mind and show that a few essential tools used in the proofs of previous anabelian results work in the (much) more restrictive truncated setting.

timetable:
Thu 19 Dec, 15:00 - 16:00, Aula Dini
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