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Relation between the 'etale and the algebraic fundamental groups

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Non-Abelian Fundamental Groups in Arithmetic Geometry

Joint work with V. Mehta. We show the relation between those two groups. Over the complex numbers, we know that if the ‘etale fundamental group is trivial, so is the proalgebraic one. Among other things, we show the corresponding statement in char. p>0 over X projective smooth (Gieseker conjecture).

This talk is part of the Isaac Newton Institute Seminar Series series.

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