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Algebraic Geometry Seminar

Monday, March 30, 2015
4:00pm to 4:00pm
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Tropical schemes and the Berkovich analytification
Noah Giansiracusa, RTG Postdoctoral Fellow, Mathematics, University of Georgia,

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.

For more information, please contact Pablo Solis by email at [email protected] or visit http://www.its.caltech.edu/~pablos/agsem.html.