Heike Harenbrock

Mittagsseminar zur Arithmetik: Ho Hai Phung (Vietnam Academy, Hanoi): Cohomology of the differential fundamental group of a curve in positive characteristic

Tuesday, 18.06.2024 10:15 im Raum SRZ 216/217

Mathematik und Informatik

Let $X$ be a smooth projective curve over a perfect field $k$ of positive characteristic $p$. The differential (also called stratified) fundamental group of $X$ (at a base point $x\in X(k)$ is defined as the Tannakian dual of the category of stratified bundles on $X$. It is the pro-algebraic analogue of the etale fundamental group of $X$. In this talk we discuss the group cohomology of the stratified fundamental group of $X$ by comparing it with the stratified cohomology introduced by Ogus. We obtain some vanishing and non-vanishing results and make some suggestions on the structure of the fundamental group itself.

Angelegt am 05.06.2024 von Heike Harenbrock
Geändert am 05.06.2024 von Heike Harenbrock
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