Relation between the \'etale fundamental group and stratifications
Hélène Esnault (FU Berlin)
MSRI: Simons Auditorium
We will survey them. The relation to analysis lies in the fact that stratifications are related to differential equations, and to categories in the fact that the fundamental groups in question are those Tannakian fundamental groups of those categories. Else one should honestly say that the deep questions which will be mentioned are rather about the connection between \'etale topology and various crystalline sites.