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Hélène Esnault: Finite presentation of the tame fundamental group

Tid: On 2021-05-05 kl 13.15

Föreläsare: Hélène Esnault

Plats: Zoom, meeting ID: 685 0671 8075

Abstract

Recall that if \(X\) is smooth complex projective, its underlying complex topological space is a finite \(CW\) complex, thus its topological fundamental group is finitely presented, thus its profinite completion, that is by the Riemann existence theorem its étale fundamental group, is as a profinite group finitely presented as well. If \(X\) is a smooth variety over an algebraic closed char. \(p>0\) field, which admits a good compactification, we prove that its tame fundamental group is finitely presented as a profinite group.

Joint work with Mark Schusterman and V. Srinivas.

Innehållsansvarig:webmaster@math.kth.se
Tillhör: Institutionen för matematik
Senast ändrad: 2021-05-05