### Relation between the \'etale and the algebraic fundamental groups

Esnault, H *(Duisburg-Essen)*

Friday 18 December 2009, 09:00-10:00

Seminar Room 1, Newton Institute

#### Abstract

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).

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