Algebraic Geometry Seminar

In "Equations of tropical varieties," J.H.Giansiracusa and I
introduced a scheme-theoretic framework for tropicalization and tropical
geometry. In this talk I'll discuss recent developments in this program.
Specifically, we introduce a canonical embedding of any scheme in an
F1-scheme (in essence, a non-finite type toric variety) such that the
corresponding tropicalization is the inverse limit of all tropicalizations
and its T-points form the space underlying Berkovich's analytification.
This is related to Payne's topological inverse limit result.