The one-point compactification of a scheme 
-- David Hansen, February 16, 2018

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The one-point compactification of a locally compact Hausdorff space is a classical and useful construction. In this talk I'll define an analogous compactification in the setting of schemes, explain its basic properties, and give some applications. In particular, I will sketch a totally canonical definition of the functor Rf_! in etale cohomology. This is joint work in progress with Johan de Jong.